Title: Extra Dimensions and the Cosmological Constant Problem
1Extra Dimensions and the Cosmological Constant
Problem
2Partners in Crime
- CC Problem
- Y. Aghababaie, J. Cline, C. de Rham, H.
Firouzjahi, D. Hoover, S. Parameswaran,
F. Quevedo, G. Tasinato, A. Tolley, I. Zavala - Phenomenology
- G. Azuelos, P.-H. Beauchemin, J. Matias, F.
Quevedo - Cosmology
- Albrecht, F. Ravndal, C. Skordis
3The Plan
- The Cosmological Constant problem
- Why is it so hard?
- How extra dimensions might help
- Changing how the vacuum energy gravitates
- Making things concrete
- 6 dimensions and supersymmetry
- Prognosis
- Technical worries
- Observational tests
4Naturalness as an Opportunity
- Cosmology alone cannot distinguish amongst the
various models of Dark Energy. - The features required by cosmology are difficult
to sensibly embed into a fundamental microscopic
theory. - Progress will come by combining both
5The Cosmological Constant Problem
- Dark energy vs vacuum energy
- Why must the vacuum energy be large?
6The Cosmological Constant Problem
Concordance cosmology points to several types of
cosmic matter
- Dark energy vs vacuum energy
- Why must the vacuum energy be large?
7The Cosmological Constant Problem
N. Wright, astro-ph/0701584
- Dark energy vs vacuum energy
- Why must the vacuum energy be large?
w pDE/rDE -1 for a cosmological constant
8The Cosmological Constant Problem
- Hierarchy Problems
- Why Extra Dimensions?
A cosmological constant is not distinguishable
from a Lorentz invariant vacuum energy vs
9The Cosmological Constant Problem
- Hierarchy Problems
- Why Extra Dimensions?
A cosmological constant is not distinguishable
from a Lorentz invariant vacuum energy vs
in 4 dimensions
10The Cosmological Constant Problem
- Dark energy vs vacuum energy
- Why must the vacuum energy be large?
11The Cosmological Constant Problem
- Dark energy vs vacuum energy
- Why must the vacuum energy be large?
The observed dark energy density corresponds to
a very small vacuum energy implies
12The Cosmological Constant Problem
- Dark energy vs vacuum energy
- Why must the vacuum energy be large?
BUT particles of mass m contribute m m
13The Cosmological Constant Problem
- Dark energy vs vacuum energy
- Why must the vacuum energy be large?
BUT particles of mass m contribute m m
14The Cosmological Constant Problem
- Dark energy vs vacuum energy
- Why must the vacuum energy be large?
BUT particles of mass m contribute m m
15The Cosmological Constant Problem
- Dark energy vs vacuum energy
- Why must the vacuum energy be large?
BUT particles of mass m contribute m m
Must cancel to 32 decimal places!!
16The Cosmological Constant Problem
- Dark energy vs vacuum energy
- Why must the vacuum energy be large?
BUT particles of mass m contribute m m
17The Cosmological Constant Problem
- Dark energy vs vacuum energy
- Why must the vacuum energy be large?
BUT particles of mass m contribute m m
Must cancel to 40 decimal places!!
18Technical Naturalness
- Given a small quantity r r0 dr
- In the fundamental theory, why should r0 be
small? - Given that r0 is small, why does it stay small as
one integrates out physics up to the scales for
which r is measured?
19Technical Naturalness
- This may have to wait until we know the
fundamental theory.
- Given a small quantity r r0 dr
- In the fundamental theory, why should r0 be
small? - Given that r0 is small, why does it stay small as
one integrates out physics up to the scales for
which r is measured?
20Technical Naturalness
- This may have to wait until we know the
fundamental theory. - This is serious because it involves physics we
think we understand
- Given a small quantity r r0 dr
- In the fundamental theory, why should r0 be
small? - Given that r0 is small, why does it stay small as
one integrates out physics up to the scales for
which r is measured?
21The Cosmological Constant Problem
- Dark energy vs vacuum energy
- Why must the vacuum energy be large?
Seek to change properties of low-energy
particles (like the electron) so that their
zero-point energy does not gravitate, even though
quantum effects do gravitate in atoms!
Why this? But not this?
22Another Naturalness Problem
- Dark energy vs vacuum energy
- Why must the vacuum energy be large?
r is a constant if it is vacuum energy
23Another Naturalness Problem
- Dark energy vs vacuum energy
- Why must the vacuum energy be large?
More complicated time-dependence is possible
24Another Naturalness Problem
- Dark energy vs vacuum energy
- Why must the vacuum energy be large?
When time dependence is due to scalar field
motion, the scalar field mass must be very small
BUT contributions to mf are of order
so are too large if M gt 10-2 eV
25The Plan
- The Cosmological Constant problem
- Why is it so hard?
- How extra dimensions might help
- Changing how the vacuum energy gravitates
- Making things concrete
- 6 dimensions and supersymmetry
- Prognosis
- Technical worries
- Observational tests
26How Extra Dimensions Help
- 4D CC vs 4D vacuum energy
- Branes and scales
27How Extra Dimensions Help
New Tools motivated by string theory (or
condensed matter) Particles can be localized
on surfaces (branes, or defects) within the extra
dimensions Gravity is not similarly localized
- 4D CC vs 4D vacuum energy
- Branes and scales
28How Extra Dimensions Help
In higher dimensions a 4D vacuum energy, if
localized in the extra dimensions, can curve the
extra dimensions instead of the observed four.
- 4D CC vs 4D vacuum energy
- Branes and scales
Arkani-Hamad et al Kachru et al, Carroll
Guica Aghababaie, et al
29How Extra Dimensions Help
Gibbons, Guven Pope
- 4D CC vs 4D vacuum energy
- Branes and scales
- Most general 4D flat solutions to chiral 6D
supergravity, without matter fields. - l3 nonzero gives curvature singularities at
branes
30How Extra Dimensions Help
To be useful it must be that extra dimensions
can be as large as the observed Dark Energy
density c/r 10-2 eV or r 1
m-metre This is possible! provided all known
particles except gravity are trapped on a brane,
since tests of Newtons law allow r lt 50
m-metre
- 4D CC vs 4D vacuum energy
- Branes and scales
Arkani Hamed, Dvali, Dimopoulos
Adelberger et al
31How Extra Dimensions Help
Arkani Hamed, Dvali, Dimopoulos
If there are extra dimensions as large as r 1
m-metre then there can only be two of them
(although others could exist if they are much
smaller), or else the observed strength of
gravity would require the scale of
extra-dimensional physics to be smaller than
mw with n extra dimensions
- 4D CC vs 4D vacuum energy
- Branes and scales
32How Extra Dimensions Help
- 4D CC vs 4D vacuum energy
- Branes and scales
These scales are natural using standard 4D
arguments.
33How Extra Dimensions Help
Must rethink how the vacuum gravitates in 6D
for these scales. SM interactions do not
change at all!
- 4D CC vs 4D vacuum energy
- Branes and scales
Only gravity gets modified over the most
dangerous distance scales!
34The Plan
- The Cosmological Constant problem
- Why is it so hard?
- How extra dimensions might help
- Changing how the vacuum energy gravitates
- Making things concrete
- 6 dimensions and supersymmetry
- Prognosis
- Technical worries
- Observational tests
35The SLED Proposal
Aghababaie, CB, Parameswaran Quevedo
- Suppose physics is extra-dimensional above the
10-2 eV scale. - Suppose the physics of the bulk is supersymmetric.
36The SLED Proposal
- Suppose physics is extra-dimensional above the
10-2 eV scale. - Suppose the physics of the bulk is supersymmetric.
- Bulk supersymmetry
- SUSY breaks at scale Mg on the branes
- Trickle-down of SUSY breaking to the bulk is
37The SLED Proposal
Particle Spectrum
SM on brane no partners Many KK modes
in bulk
4D scalar ef r2 const
4D graviton
38The CC Problem in 6D
- The 6D CC
- Integrate out brane physics
- Integrate out bulk physics
- Classical contribution
- Quantum corrections
39The CC Problem in 6D
- The 6D CC
- Integrate out brane physics
- Integrate out bulk physics
- Classical contribution
- Quantum corrections
- Several 6D SUGRAs are known, including chiral and
non-chiral variants. - None have a 6D CC.
40The CC Problem in 6D
Nishino Sezgin
- The 6D CC
- Integrate out brane physics
- Integrate out bulk physics
- Classical contribution
- Quantum corrections
- Several 6D SUGRAs are known, including chiral and
non-chiral variants. - None have a 6D CC.
41The CC Problem in 6D
- The 6D CC
- Integrate out brane physics
- Integrate out bulk physics
- Classical contribution
- Quantum corrections
- Generates large 4D vacuum energy
- This energy is localized in the extra dimensions
(plus higher-derivatives)
42The CC Problem in 6D
- The 6D CC
- Integrate out brane physics
- Integrate out bulk physics
- Classical contribution
- Quantum corrections
- Solve classical equations in presence of branes
- Plug back into action
43The CC Problem in 6D
- The 6D CC
- Integrate out brane physics
- Integrate out bulk physics
- Classical contribution
- Quantum corrections
- Solve classical equations in presence of branes
- Plug back into action
44The CC Problem in 6D
Chen, Luty Ponton
- The 6D CC
- Integrate out brane physics
- Integrate out bulk physics
- Classical contribution
- Quantum corrections
- Solve classical equations in presence of branes
- Plug back into action
Tensions cancel between brane and bulk!!
45The CC Problem in 6D
Aghababaie et al.
- The 6D CC
- Integrate out brane physics
- Integrate out bulk physics
- Classical contribution
- Quantum corrections
- Solve classical equations in presence of branes
- Plug back into action
Smooth parts also cancel for supersymmetric
theories!!
46The CC Problem in 6D
- The 6D CC
- Integrate out brane physics
- Integrate out bulk physics
- Classical contribution
- Quantum corrections
- Bulk is a supersymmetric theory with msb 10-2
eV - Quantum corrections can be right size in absence
of msb2 Mg2 terms! - Lifts flat direction.
47The Plan
- The Cosmological Constant problem
- Why is it so hard?
- How extra dimensions might help
- Changing how the vacuum energy gravitates
- Making things concrete
- 6 dimensions and supersymmetry
- Prognosis
- Technical worries
- Observational tests
48Prognosis
- Theoretical worries
- Observational tests
49The Worries
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
50The Worries
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
51The Worries
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
- Classical part of the argument
- What choices must be made to ensure 4D flatness?
- Quantum part of the argument
- Are these choices stable against renormalization?
52The Worries
Tolley, CB, Hoover Aghababaie Tolley, CB, de
Rham Hoover CB, Hoover Tasinato
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
- Classical part of the argument
- What choices must be made to ensure 4D flatness?
- Now understand how 2 extra dimensions respond to
presence of 2 branes having arbitrary couplings. - Not all are flat in 4D, but all of those having
only conical singularities are flat. - (Conical singularities correspond to absence
of dilaton couplings to branes)
53The Worries
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
- Quantum part of the argument
- Are these choices stable against renormalization?
- So far so good, but not yet complete
- Brane loops cannot generate dilaton couplings if
these are not initially present - Bulk loops can generate such couplings, but are
suppressed by 6D supersymmetry
54The Worries
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
55The Worries
Albrecht, CB, Ravndal, Skordis Tolley, CB,
Hoover Aghababaie Tolley, CB, de Rham Hoover
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
- Most brane properties and initial conditions do
not lead to anything like the universe we see
around us. - For many choices the extra dimensions implode or
expand to infinite size.
56The Worries
Albrecht, CB, Ravndal, Skordis Tolley, CB,
Hoover Aghababaie Tolley, CB, de Rham Hoover
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
- Most brane properties and initial conditions do
not lead to anything like the universe we see
around us. - For many choices the extra dimensions implode or
expand to infinite size. - Initial condition problem much like the Hot Big
Bang, possibly understood by reference to earlier
epochs of cosmology (eg inflation)
57Prognosis
- Theoretical worries
- Observational tests
58The Observational Tests
59The Observational Tests
- Quintessence cosmology
- Modifications to gravity
60The Observational Tests
- Quintessence cosmology
- Modifications to gravity
- Collider physics
61The Observational Tests
- Quintessence cosmology
- Modifications to gravity
- Collider physics
SUSY broken at the TeV scale,
but not the MSSM!
62The Observational Tests
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics?
63The Observational Tests
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics?
- And more!
64Summary
- It is the interplay between cosmological
phenomenology and microscopic constraints which
will make it possible to solve the Dark Energy
problem. - Technical naturalness provides a crucial clue.
65Summary
- It is the interplay between cosmological
phenomenology and microscopic constraints which
will make it possible to solve the Dark Energy
problem. - Technical naturalness provides a crucial clue.
- 6D brane-worlds allow progress on technical
naturalness - Vacuum energy not equivalent to curved 4D
- Are Flat choices stable against renormalization?
66Summary
- It is the interplay between cosmological
phenomenology and microscopic constraints which
will make it possible to solve the Dark Energy
problem. - Technical naturalness provides a crucial clue.
- 6D brane-worlds allow progress on technical
naturalness - Vacuum energy not equivalent to curved 4D
- Are Flat choices stable against
renormalization? - Tuned initial conditions
- Much like for the Hot Big Bang Model.
67Summary
- It is the interplay between cosmological
phenomenology and microscopic constraints which
will make it possible to solve the Dark Energy
problem. - Technical naturalness provides a crucial clue.
- 6D brane-worlds allow progress on technical
naturalness - Vacuum energy not equivalent to curved 4D
- Are Flat choices stable against
renormalization? - Tuned initial conditions
- Much like for the Hot Big Bang Model.
- Enormously predictive, with many observational
consequences. - Cosmology at Colliders! Tests of gravity
68Detailed Worries and Observations
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics?
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
69Backup slides
70The Worries
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
71The Worries
Salam Sezgin
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
- Classical flat direction corresponding to
combination of radius and dilaton
ef r2 constant. - Loops lift this flat direction, and in so doing
give dynamics to f and r.
72The Worries
Kantowski Milton Albrecht, CB, Ravndal, Skordis
CB Hoover Ghilencea, Hoover, CB Quevedo
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
Potential domination when
Canonical Variables
73The Worries
Albrecht, CB, Ravndal, Skordis
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
Potential domination when
Hubble damping can allow potential domination
for exponentially large r, even though r is not
stabilized.
Canonical Variables
74The Worries
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
75The Worries
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
- Weinbergs No-Go Theorem
- Steven Weinberg has a general objection to
self-tuning mechanisms for solving the
cosmological constant problem that are based on
scale invariance
76The Worries
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
- Weinbergs No-Go Theorem
- Steven Weinberg has a general objection to
self-tuning mechanisms for solving the
cosmological constant problem that are based on
scale invariance
77The Worries
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
- Weinbergs No-Go Theorem
- Steven Weinberg has a general objection to
self-tuning mechanisms for solving the
cosmological constant problem that are based on
scale invariance
78The Worries
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
- Nimas No-Go Argument
- One can have a vacuum energy m4 with m
greater than the cutoff, provided it is turned on
adiabatically. - So having extra dimensions with r 1/m does
not release one from having to find an
intrinsically 4D mechanism.
79The Worries
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
- Nimas No-Go Argument
- One can have a vacuum energy m4 with m
greater than the cutoff, provided it is turned on
adiabatically. - So having extra dimensions with r 1/m does
not release one from having to find an
intrinsically 4D mechanism.
- Scale invariance precludes obtaining \mu greater
than the cutoff in an adiabatic way
implies
80The Worries
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
81The Worries
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
- Post BBN
- Since r controls Newtons constant, its
motion between BBN and now will cause
unacceptably large changes to G.
82The Worries
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
- Post BBN
- Since r controls Newtons constant, its
motion between BBN and now will cause
unacceptably large changes to G. - Even if the kinetic energy associated with r
were to be as large as possible at BBN, Hubble
damping keeps it from rolling dangerously far
between then and now.
83The Worries
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
- Post BBN
- Since r controls Newtons constant, its
motion between BBN and now will cause
unacceptably large changes to G. - Even if the kinetic energy associated with r
were to be as large as possible at BBN, Hubble
damping keeps it from rolling dangerously far
between then and now.
log r vs log a
84The Worries
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
- Pre BBN
- There are strong bounds on KK modes in models
with large extra dimensions from - their later decays into photons
- their over-closing the Universe
- their light decay products being too
abundant at BBN
85The Worries
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
- Pre BBN
- There are strong bounds on KK modes in models
with large extra dimensions from - their later decays into photons
- their over-closing the Universe
- their light decay products being too
abundant at BBN - Photon bounds can be evaded by having
invisible channels others are model dependent,
but eventually must be addressed
86The Worries
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
87The Worries
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
- A light scalar with mass m H has several
generic difficulties - What protects such a small mass from large
quantum corrections?
88The Worries
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
- A light scalar with mass m H has several
generic difficulties - What protects such a small mass from large
quantum corrections? -
- Given a potential of the form
- V(r) c0 M4 c1 M2/r2 c2 /r4
- then c0 c1 0 ensures both small mass and
small dark energy.
89The Worries
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
- A light scalar with mass m H has several
generic difficulties - Isnt such a light scalar already ruled out
by precision tests of GR in the solar system?
90The Worries
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
- A light scalar with mass m H has several
generic difficulties - Isnt such a light scalar already ruled out
by precision tests of GR in the solar system?
The same logarithmic corrections which enter the
potential can also appear in its matter
couplings, making them field dependent and so
also time-dependent as f rolls. Can arrange these
to be small here now.
91The Worries
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
- A light scalar with mass m H has several
generic difficulties - Isnt such a light scalar already ruled out
by precision tests of GR in the solar system?
The same logarithmic corrections which enter the
potential can also appear in its matter
couplings, making them field dependent and so
also time-dependent as f rolls. Can arrange these
to be small here now.
a vs log a
92The Worries
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
- A light scalar with mass m H has several
generic difficulties - Shouldnt there be strong bounds due to
energy losses from red giant stars and
supernovae? (Really a bound on LEDs and not on
scalars.)
93The Worries
- Technical Naturalness
- Runaway Behaviour
- Stabilizing the Extra Dimensions
- Famous No-Go Arguments
- Problems with Cosmology
- Constraints on Light Scalars
- A light scalar with mass m H has several
generic difficulties - Shouldnt there be strong bounds due to
energy losses from red giant stars and
supernovae? (Really a bound on LEDs and not on
scalars.) - Yes, and this is how the scale M 10 TeV for
gravity in the extra dimensions is obtained.
94Observational Consequences
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
95Observational Consequences
Albrecht, CB, Ravndal Skordis Kainulainen
Sunhede
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
- Quantum vacuum energy lifts flat direction.
- Specific types of scalar interactions are
predicted. - Includes the Albrecht-Skordis type of potential
- Preliminary studies indicate it is possible to
have viable cosmology - Changing G BBN
96Observational Consequences
Albrecht, CB, Ravndal Skordis
- Quantum vacuum energy lifts flat direction.
- Specific types of scalar interactions are
predicted. - Includes the Albrecht-Skordis type of potential
- Preliminary studies indicate it is possible to
have viable cosmology - Changing G BBN
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
Potential domination when
Canonical Variables
97Observational Consequences
Albrecht, CB, Ravndal Skordis
Radiation Matter Total Scalar
- Quantum vacuum energy lifts flat direction.
- Specific types of scalar interactions are
predicted. - Includes the Albrecht-Skordis type of potential
- Preliminary studies indicate it is possible to
have viable cosmology - Changing G BBN
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
log r vs log a
98Observational Consequences
Albrecht, CB, Ravndal Skordis
- Quantum vacuum energy lifts flat direction.
- Specific types of scalar interactions are
predicted. - Includes the Albrecht-Skordis type of potential
- Preliminary studies indicate it is possible to
have viable cosmology - Changing G BBN
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
Radiation Matter Total Scalar w Parameter
w 0.9
99Observational Consequences
Albrecht, CB, Ravndal Skordis
- Quantum vacuum energy lifts flat direction.
- Specific types of scalar interactions are
predicted. - Includes the Albrecht-Skordis type of potential
- Preliminary studies indicate it is possible to
have viable cosmology - Changing G BBN
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
a vs log a
100Observational Consequences
Albrecht, CB, Ravndal Skordis
- Quantum vacuum energy lifts flat direction.
- Specific types of scalar interactions are
predicted. - Includes the Albrecht-Skordis type of potential
- Preliminary studies indicate it is possible to
have viable cosmology - Changing G BBN
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
log r vs log a
101Observational Consequences
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
- At small distances
- Changes Newtons Law at range r/2p 1 mm.
- At large distances
- Scalar-tensor theory out to distances of order
H0.
102Observational Consequences
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
- At small distances
- Changes Newtons Law at range r/2p 1 mm.
- At large distances
- Scalar-tensor theory out to distances of order
H0.
103Observational Consequences
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
- Not the MSSM!
- No superpartners
- Bulk scale bounded by astrophysics
- Mg 10 TeV
- Many channels for losing energy to KK modes
- Scalars, fermions, vectors live in the bulk
104Observational Consequences
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
- Can there be observable signals if Mg 10 TeV?
- Must hit new states before E Mg . Eg string
and KK states have MKK lt Ms lt Mg - Dimensionless couplings to bulk scalars are
unsuppressed by Mg
105Observational Consequences
Azuelos, Beauchemin CB
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
- Not the MSSM!
- No superpartners
- Bulk scale bounded by astrophysics
- Mg 10 TeV
- Many channels for losing energy to KK modes
- Scalars, fermions, vectors live in the bulk
Dimensionless coupling! O(0.1-0.001) from
loops
106Observational Consequences
Azuelos, Beauchemin CB
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
- Not the MSSM!
- No superpartners
- Bulk scale bounded by astrophysics
- Mg 10 TeV
- Many channels for losing energy to KK modes
- Scalars, fermions, vectors live in the bulk
Dimensionless coupling! O(0.1-0.001) from
loops
- Use H decay into gg, so search for two hard
photons plus missing ET.
107Observational Consequences
Azuelos, Beauchemin CB
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
- Not the MSSM!
- No superpartners
- Bulk scale bounded by astrophysics
- Mg 10 TeV
- Many channels for losing energy to KK modes
- Scalars, fermions, vectors live in the bulk
- Standard Model backgrounds
108Observational Consequences
Azuelos, Beauchemin CB
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
- Not the MSSM!
- No superpartners
- Bulk scale bounded by astrophysics
- Mg 10 TeV
- Many channels for losing energy to KK modes
- Scalars, fermions, vectors live in the bulk
109Observational Consequences
Azuelos, Beauchemin CB
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
- Not the MSSM!
- No superpartners
- Bulk scale bounded by astrophysics
- Mg 10 TeV
- Many channels for losing energy to KK modes
- Scalars, fermions, vectors live in the bulk
- Significance of signal vs cut on missing ET
110Observational Consequences
Azuelos, Beauchemin CB
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
- Not the MSSM!
- No superpartners
- Bulk scale bounded by astrophysics
- Mg 10 TeV
- Many channels for losing energy to KK modes
- Scalars, fermions, vectors live in the bulk
- Possibility of missing-ET cut improves the reach
of the search for Higgs through its gg channel
111Observational Consequences
Matias, CB
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
- SLED predicts there are 6D massless fermions in
the bulk, as well as their properties - Massless, chiral, etc.
- Masses and mixings can be chosen to agree with
oscillation data. - Most difficult bounds on resonant SN
oscillilations.
112Observational Consequences
Matias, CB
- 6D supergravities have many bulk fermions
- Gravity (gmn, ym, Bmn, c, j)
- Gauge (Am, l)
- Hyper (F, x)
- Bulk couplings dictated by supersymmetry
- In particular 6D fermion masses must vanish
- Back-reaction removes KK zero modes
- eg boundary condition due to conical defect at
brane position
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
- SLED predicts there are 6D massless fermions in
the bulk, as well as their properties - Massless, chiral, etc.
- Masses and mixings can be naturally achieved
which agree with data! - Sterile bounds oscillation experiments
113Observational Consequences
Matias, CB
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
- SLED predicts there are 6D massless fermions in
the bulk, as well as their properties - Massless, chiral, etc.
- Masses and mixings can be naturally achieved
which agree with data! - Sterile bounds oscillation experiments
Dimensionful coupling l 1/Mg
114Observational Consequences
Matias, CB
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
- SLED predicts there are 6D massless fermions in
the bulk, as well as their properties - Massless, chiral, etc.
- Masses and mixings can be naturally achieved
which agree with data! - Sterile bounds oscillation experiments
- SUSY keeps N massless in bulk
- Natural mixing with Goldstino on branes
- Chirality in extra dimensions provides natural L
Dimensionful coupling l 1/Mg
115Observational Consequences
Matias, CB
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
- SLED predicts there are 6D massless fermions in
the bulk, as well as their properties - Massless, chiral, etc.
- Masses and mixings can be naturally achieved
which agree with data! - Sterile bounds oscillation experiments
Dimensionful coupling! l 1/Mg
116Observational Consequences
Matias, CB
t
Constrained by bounds on sterile neutrino emission
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
- SLED predicts there are 6D massless fermions in
the bulk, as well as their properties - Massless, chiral, etc.
- Masses and mixings can be naturally achieved
which agree with data! - Sterile bounds oscillation experiments
Dimensionful coupling! l 1/Mg
Require observed masses and large mixing.
117Observational Consequences
Matias, CB
t
Constrained by bounds on sterile neutrino emission
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
- SLED predicts there are 6D massless fermions in
the bulk, as well as their properties - Massless, chiral, etc.
- Masses and mixings can be naturally achieved
which agree with data! - Sterile bounds oscillation experiments
- Bounds on sterile neutrinos easiest to satisfy if
g l v lt 10-4. - Degenerate perturbation theory implies massless
states strongly mix even if g is small. - This is a problem if there are massless KK modes.
- This is good for 3 observed flavours.
- Brane back-reaction can remove the KK zero mode
for fermions.
Dimensionful coupling! l 1/Mg
Require observed masses and large mixing.
118Observational Consequences
Matias, CB
- Imagine lepton-breaking terms are suppressed.
- Possibly generated by loops in running to low
energies from Mg. - Acquire desired masses and mixings with a mild
hierarchy for g/g and e/e. - Build in approximate Le Lm Lt, and Z2
symmetries.
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
- SLED predicts there are 6D massless fermions in
the bulk, as well as their properties - Massless, chiral, etc.
- Masses and mixings can be naturally achieved
which agree with data! - Sterile bounds oscillation experiments
S Mg r
119Observational Consequences
Matias, CB
- 1 massless state
- 2 next- lightest states have strong overlap with
brane. - Inverted hierarchy.
- Massive KK states mix weakly.
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
- SLED predicts there are 6D massless fermions in
the bulk, as well as their properties - Massless, chiral, etc.
- Masses and mixings can be naturally achieved
which agree with data! - Sterile bounds oscillation experiments
120Observational Consequences
Matias, CB
Worrisome once we choose g 10-4, good masses
for the light states require e S k
1/g Must get this from a real compactification.
- 1 massless state
- 2 next- lightest states have strong overlap with
brane. - Inverted hierarchy.
- Massive KK states mix weakly.
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
- SLED predicts there are 6D massless fermions in
the bulk, as well as their properties - Massless, chiral, etc.
- Masses and mixings can be naturally achieved
which agree with data! - Sterile bounds oscillation experiments
121Observational Consequences
Matias, CB
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
- SLED predicts there are 6D massless fermions in
the bulk, as well as their properties - Massless, chiral, etc.
- Masses and mixings can be naturally achieved
which agree with data! - Sterile bounds oscillation experiments
2
- Lightest 3 states can have acceptable 3-flavour
mixings. - Active sterile mixings can satisfy incoherent
bounds provided g 10-4 or less (qi g/ci).
122Observational Consequences
- Quintessence cosmology
- Modifications to gravity
- Collider physics
- Neutrino physics
- Astrophysics
- Energy loss into extra dimensions is close to
existing bounds - Supernova, red-giant stars,
- Scalar-tensor form for gravity may have
astrophysical implications. - Binary pulsars