Recent Progress in B Physics

1
Recent Progress in B Physics

• ???,?????????

?????????????,??,2008
2

Outline

• 1. Major goals of B physics
• 2. Some results , puzzles
• 3. Factorizations, QCDF/SCET, pQCD
• 4. Some recent progress
• 5. Summary

3
1. Major goals of B physics
4

1. B?????????

• ---??B?????CP??
• ---????????????
• ---?????????????
• ? ???B???????CP??
• ? sin(2ß)?????
• ? ?????????????
• ? ???Exotic??X, Y, Z
• ? find some puzzles

5

The Two B Factories
Mt. Tsukuba
KEKB
PEP-II
Will stop soon
BaBar
Belle
6
LHC Physics Run Starts 2008
7
CLEO Collaboration, D0 Collaboration, CDF
Collaboration
8
Belle Collaboration IHEP, C.Z.Yuan, C.C.Zhang
et al., PKU, Y.Ban et al., USTC, Z.P.
Zhang et al., Other 3 groups from
Taiwan BaBar, ? LHCb Collaboration ??,
Y.N. Gao, et al.,
9
2. Some important results, some puzzles
10
Acp on B ? Kp
DA Kp Problem
Belle
Direct CPV established in B system (2004) !
Acp -0.1070.018
-0.0930.0180.008
0.007
-0.004
? World Average including CLEO Acp(Kp-)
-0.0970.012
? Acp(Kp0) 0.0500.025 ?
DA(Kp) 0.147 0.027 _at_5s

• Need to explain the deviation. Hadronic effect
  or
• new physics?

6
11
DS Ssqq - Sccs lt 0 Problem
ß (21.5 1.0)
Naïve average of all b g s modes sin2beff 0.56
0.05 2.1 s deviation (was 2.6) btwn b g sqq and
b g ccs
New Physics !?
12
See HFAG, hep-ex/0704.3575
13

Global Fit Results ?(6315)0
a(10013)0
14

Window for BSM
15
3. Factorization Approaches QCDF/SCET, pQCD,

16
? B ???????????1. Low-energy effective
Hamitonian2. Wilson Coefficients and their
running3. Wave functions of the relevant
mesons4. Factorization for hadronic B decays
3. Factorization QCDF/SCET, pQCD
17
12??????,Wilson??,---known at full NLO,
partial NNLO results, such as b ?s?, B ?µµ
18
3Wave funcations, DFs B ??
19
3??????? k,p,?,etc
20
---- known at Twist-2 and Twist-3----
????? Gegenbauer moments a1, a2, a4,
?3, ?3 , etc ??????? ??,???????CP??????
???????????---- P. Ball, T. Feldmann, P.
Kroll, B.Stech, ---- ??,???,???,???,???,?
21
Why making Factorization ?
MW gtgt mb gtgt ?QCD
22

• ? B ?M1 M2 ????

?????? ????
---- Hard part Wilson ??,?????? ---- ????????ltM1
M2Oi(µ)Bgt,?????????????????! ---- ???????
NF, GNF, QCDF, BPRS/SCET, pQCD,
23
???????QCD???BBNS

• ????????,???B
• ???????,?????
• Compact?????????
• ???

---??????QCD??????????????
24
??TI,TII, ??????, ????,DAs
??B ?M1M2????,
25
BBNS
-- PRL,83(1999) 1914 NPB,591(2001)313 NPB,
675(2003)333
-- ???,???,???,???,???,???,???,???,
Leading
????Ci(µ)??µ???,??????????
Vertex
-- ????????(ab), (cd)(ac),(bd),(cd) --
??????????????????(J/Psi) -- ????O(as)?????,CP??
?????
26
BBNS
-- E?BBS??,???? -- f?O8g???
Penguin
Hard Spectator
???
--??????,???,???????
27
BBNS
? Beneke, Buchalla, Neubert, Sachrajda,
---- PRL,83(1999) 1914 NP B 591 (2001)313
NP
B675 (2003) 333 B751(2006)160, B768(2007)51
etc ? ???,???,???,???,???,???,
???, ---- PR D65,074001(2002) D67,
014023(2003) D68,
054003(2003) NP B609(2001)469 etc ?
???,???,??,???,???,et al., --- PR
D69,054009(2004), PRL 96,092001(2006),
PRL 98,092003(2007), etc.
28
BBNS -gtSCET M.Beneke, Beauty 2006
29
Integrating out at scale mb QCD ? SCETI
30
-- CI,CII ?????NF???,???? --- ---
???Spectator??
??? QCD?SCET_I????matching??,???
31
Integrating out at SCETI ?
SCETII
????????,? B-M1 ??????FB?FM1 ?hard-collinear??
J ???
32
??,QCDF/SCET??????????
--- TI,HII ? J ????????
33
QCDF/SCET????????
--- 1-Loop J???? J ???hard-collinear??
Beacher, Hill, Lee, Neubert, JHEP 07(2004)081
M.Beneke, D.S.Yang, NP B738(2006)34
34
--- 1-Loop HII?0(as2)????Spectator????
Beneke, Jager, NP B751(2006)160 768(2007)51
X.Q.Li , Y.D.Yang, PR D72, 074007(2004)
--- Perturbative theory well-behaved ---
Large enhancement to C --- Negligible
corrections to QCD penguin amplitude
?????
35
SCETSoft-Collinear-Effective Theory
36
SCET

• SCET is an effective theory by integrating out
  high energy modes.
• Define effective fields (like collinear quarks,
  collinear gluons, soft quarks,).
• Express an amplitude in terms of expansion of
  nonlocal operators of these effective fields.
• The coefficients of these operators are the hard
  kernels.
• The matrix element of the operators are DAs.
• Compute hard kernels, and show their IR
  finiteness order by order.

37
BPRSC.W.Bauer,D. Pirjol,I.Z. Rothstein, I.W.
Stewart
See Stewart,talk at FPCP 2007
38
KT ???, pQCD?????
For more details, see H. n Lis previous series
of relevant talks
39
??QCD??? kT ???

• ? ?Lepage ? Brodsky?????,?????????????B? M1
  M2????????
• ? ???????????????????????????????????,????????????
  ?????????
• ? ??????????
• ? H.n Li, Sanda, Mishima, Kou, Keum,Ali,et al.,
• ???,???,???,???,??,????
• ? kT ??????,???

40

• ? No End-point singlarity in KT factorization

p
??? B ?pp??
p
--- SC-???,?xi?0,1?,??????? -- QCDF??,??????,?????
????,????????,????????
41
? KT????? KT ?????,???????????,???????,?????????
?? --- ????????????,??????? ---
?pQCD????,?????????????
42
? Sudakov?????????????????,?????????????????????
???????????,?????? ???,
????????RG???
? ???????overlap?,??????,?????????? ---
Sudakov????
43
? ?b??,p???????????
? ??b??,Sudakov????0,??????????,
???????????????b??,????????????
44
? B- ?K-??pQCD??LO
-- ?(a,b)?? ??,?????? ??F0,1(0)
-- ??????? ????
45
? B- ?K-??pQCD??LO
-- ????? ??????, ????
-- ?????? ??????, ????
46
(No Transcript)
47
? B- ?K-??pQCD??NLO
-- ????QCDF?? ??????QCD?? ??????Wilson? ????????
48
? B- ?K-??pQCD??NLO
-- ??quark-loop????? -- 0(as2)?????
49
? B- ?K-??pQCD??NLO
-- ??O8g-??????? -- 0(as2)?????
50
? B??????????
? ??????puzzle, ?????? ???solid???????
evidence? ? ?B?????????,?????????????????????? --
????????! -- ???,???,???,???,???,???,???,???,???,
???,???,???, ??,et al., -- ???,???,??????BC
?????????
51
Summary
? LHCb?B????????????,???CKM??,?????????CP????????
? LHC???????????Higgs??????! ?
?B?????????????????????! ? ????????????????,????
????????,???????,???????! ? ?B??????,???????????
??,???????????
52
Thank you !
53
B ???????

• ---???,Polarizations of B-gtVV in QCD
• factorization
• ---???,P??????????
• ---???,????B?????
• ---? ?,Charmless Two-body B to AP decays
• ---???,Radiative charmless B_s -gtV? and B_s -gtA
  ? decays in pQCD approach

54

• ---???,A Systematic Study of the Spectrum
• of Heavy-light Mesons
• --- ? ?,Search for Z(4430) in meson
• photoproduction Polarizations of
• B-gtVV in QCD factorization
• --- ? ?,Couple channel analysis of
• X(3872) particle
• --- ???, Some B meson decays in the pQCD
• approach
• --- ???,Radiative decay of ?b ? ? ?
• in the standard model

55

• ?