Rare B Decays and CP Violation Beyond the Standard Model — Prospects for New Physics New Physics Effect in b b ↔ s — ↔ s February 8, 2007, KEKTC07 @ KEK Frontiers in Particle Physics and Cosmology Frontiers in Particle Physics and Cosmology RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 1
Direct CP and Rare Decays June 21, 2005 B Physics at Hadronic Machines, Assisi DCPV/Rare George W.S. Hou (NTU) Beauty 2005 @ Assisi 2
Will not touch tree level ... B + → τ + ν Suppressed by V ub , H − 2 2 2 G m m m SM prediction � � B 2 2 ( B l ) F B l 1 l f | V | + + � � = � � � � (1.59 ± 0.40) x 10 -4 SM l B u b B 2 8 m � � � B Within the SM, this measurement can be used to constrain f B . Can replace W + with H + B can be suppressed or enhanced by a factor of r H 2HDM: W.S. Hou, PRD 48 , 2342 (1993). KEKCT ‘07 Adrian Bevan
B → K ( * ) ll PRL 96 (2006) 251801 PRD 73 (2006) 092001 First A FB measurements from the B-factories are compatible with SM. ~57 events ~114 events Limit on first q 2 at 95% CL. C i could be complex BSM: should test this in the future. A. Hovhannis v an et al. hep-ph/0701046 Hovhannisyan, WSH and Mahajan y Also measured F L to be compatible with SM BaBar: 229 × 10 6 B pairs Belle: 386 × 10 6 B pairs KEKCT ‘07 Adrian Bevan
Outline B → K * in B → K * ℓ I A A FB − — Probe Complexity w/o CPV FB in + ℓ ℓ + ℓ − Complex C 7 , C 9 , C 10 vs MFV; 4th generation as existence proof II Why 4th Generation Revisit? A CP (K + π − ) ≠ A CP (K + π 0 ) Z Penguin and Boxes and Δ S Δ S A and Δ S (in NLO PQCD) Accounting for Δ A and Δ S Accounting for Δ B → X s ℓ + ℓ − — Large CPV in B III B s Mixing vs Large CPV in B s s Mixing Mixing Large CPV Phase or Nil ΔΓ Bs related effects K L → π Enhanced K L → IV K/D Aside K/D Aside — Enhanced and D 0 Mixing νν and D 0 Mixing π 0 0 νν V Conclusion RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 5
ℓ B → K * in B → K * ℓ I. A A FB FB in + ℓ ℓ + − − Probe Complexity w/o CPV RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 6
+ Box M. Iwasaki @ CKM06 RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 7
M. Iwasaki @ CKM06 RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 8
B → K * in B → K * ℓ A FB made easy A FB in − made easy + ℓ ℓ + ℓ − γ – Z interference with M Z brought low ! γ e + e − → hadrons B - K * RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 9
Why C 7 , C 9 , C 10 taken REAL should they be ? M. Iwasaki @ CKM06 RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 10
” Why Real? Theory “ “Guidance Guidance” Theory hep-ph/0612156 RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 11
Real by C eff C Y ( s ) Quark level Quantum Quantum amplitude: = + 9 9 convention eff C C C C � = � + � + � 7 7 7 8 8 j j j 7 , 8 � No Reason a priori why C 7 , C 9 , C 10 should be Real To be Probed BY EXPERIMENT RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 12
Form factors induce some level of theoretical uncertainty Use form factors calculated within LCSR – Ball & Zwicky Forward-backward Form Factor asymmetry Products Richer Interference RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 13
Parameterization at weak scale Such an introduction of complexity is beyond MFV and may look very outrageous at first glance, though not impossible, e.g. in generic Z ’ models or more than 3 generations N.B. Wilson coeffs. becoming complex is already present in SM (not via New Phys corrections) * * V V V V B : + � l l � � � ud ub td tb C C # � + � 9 9 u RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 14
Case 1: — SM like a: SM; b: 4 Gen. shaded: rough boundaries (for illustration only ) Constrained to 1 σ experimental range for exclusive radiative and semi-leptonic rates data: LHCb sim. (2 fb − 1 ) Due to assumed equality C � C 9 10 RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 15
General: Both Zero & Shape Sensitive to NP a: SM b: 4 gen. d: ruled out e: disfavoured c: ~ SM, even zero, different for large q 2 RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 16
B → K ( * ) ll PRL 96 (2006) 251801 PRD 73 (2006) 092001 First A FB measurements from the B-factories are compatible with SM. ~57 events ~114 events Limit on first q 2 at 95% CL. C i could be complex BSM: should test this in the future. A. Hovhannisvan et al. hep-ph/0701046 Also measured F L to be compatible with SM BaBar: 229 × 10 6 B pairs Belle: 386 × 10 6 B pairs KEKCT ‘07 Adrian Bevan
General: Both Zero & Shape Sensitive to NP a: SM b: 4 gen. d: ruled out e: disfavoured c: ~ SM, even zero, different for large q 2 data: LHCb sim. (2 fb − 1 ) Early LHCb Data Can Tell RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 18
Why Real WC’s ? RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 19
SM Pattern — Suppressed FCNC at L.E. ! RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 20
4th Gen. is non-MFV, SM-like RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 21
b ↔ s CPV Phenomena Is Current NP Frontier Two Hints TCPV • S f in b → sqq Mixing-dep. DCPV • A K + π - − A K + π 0 Puzzle Direct Will address these RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 22
Study 4th Generation from Now on Do not consider scalar int. RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 23
Ben Grinstein @ CKM06 RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 24
Ben Grinstein @ CKM06 Close ! RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 25
4th Generation Still? - N ν counting? 4th “neutrino” heavy Massive neutrinos call for new Physics Massive neutrinos call for new Physics - Disfavored by EW Precision EW Precision ( see e.g. J. Erler hep-ph/0604035; PDG06 ; ... ; But that’ ’s s “ “old old” ” ... Overconstrain Overconstrain ourselves, or look forward to LHC ? ourselves, or look forward to LHC ? But that RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 26
CDF Continues to Search http://www-cdf.fnal.gov/physics/new/top/2005/ljets/tprime/gen6/public.html Softening of Bound ! RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 27
Neubert RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 28
Personally ! Personally ! II Why 4th Generation Revisit? A CP (K + π − ) ≠ A CP (K + π 0 ) RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 29
3.8 σ 2005 RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 30
Sakai RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 31
... ... It was the handiwork of “yours truly” ... RareB/CPV-BSM George W.S. Hou (NTU) KEKTC6 2/8/07 32
Acp (B hh) Black 449 MBB Blue 535 MBB Green 535 MBB Time-dep. analysis y r a n i m i l e r P Significant DCPV in K + π - and π + π - Δ A Acp(K + π - ) - Acp(K + π 0 ) 4.4 σ DPF/JPS 2006/11/01
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