CP Violation in B p p and Unitarity Triangle

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CP Violation in B p p and
Unitarity Triangle
G.Buchalla, S.Safir Hep-ph0406016
NCTS, 2004/07/29 Yoon, Yeo woong, ???
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CPV in B ?pp- and Unitary Triangle, 1.Basic
Formula
2/11
Unitary Triangle
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CPV in B ?pp- and Unitary Triangle, 1.Basic
Formula
3/11
Feynman Diagrams
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CPV in B ?pp- and Unitary Triangle, 1.Basic
Formula
4/11
- BaBar, Heavy Flavor Averaging group
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CPV in B ?pp- and Unitary Triangle, 2. QCD
Factorization
5/11
M.Beneke NPB606(2001)245
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CPV in B ?pp- and Unitary Triangle, 2. QCD
Factorization
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Type1 variation of input parameters Type2 model
estimates for power correction
Uncertainty
?
?
?
?
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CPV in B ?pp- and Unitary Triangle, 3.
Phenomenological Analysis
7/11
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CPV in B ?pp- and Unitary Triangle, 3.
Phenomenological Analysis
8/11
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CPV in B ?pp- and Unitary Triangle, 3.
Phenomenological Analysis
9/11
New Physics contribution may modify the phase of
Bd-Bd mixing fd . Then sin2ß from B?J/? Ks should
be replaced by sin2fd.
Using (from theory)
(from experiment), we obtain
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CPV in B ?pp- and Unitary Triangle, 3.
Phenomenological Analysis
10/11
Direct CP violation
New Physic may invalidate ? fit.
C is maximized where
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CPV in B ?pp- and Unitary Triangle, 4. Conclusion
11/11

• ?, ? can be obtained in closed form as function
  of observables t, S and hadronic penguin
  parameters r,f.
• The sensitivity on the hadronic quantities, is
  very weak.
• 1. There are no first-order corrections in f.
  Moderate f is negligible 2. Neglecting f,
  dependence of ? on r comes through merely factor
  (1 r ) The impact of the uncertainty in r
  0.1 is greatly reduced
• The parameters ?, 1- ?, Rt and ? are bounded from
  below, depending only on t, S and essentially
  without relying on hadronic input.
• Direct CP violation parameter C depends much
  stronger on hadronic input than S, but gives
  complementary information and can constrain r ,
  f within the SM.
• An alternative analysis of S and C especially
  suitable for the presence of anew-physics phase
  in Bd-Bd mixing was discussed
• This analysis should be useful for interpreting
  the forthcoming experimental measurements of CP
  violation in B?pp- decays in a transparent way
  and help to achieve a reliable control over
  theoretical uncertainties.