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The BaBarians are coming Neil Geddes Standard Model CP violation BaBar Sin2 The future
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The Aims Complex phase in CKM matrix produces different phases for B 0 anti-B 0 and anti-B 0 B 0 J/ K 0 s B0B0 B0B0 B0B0 B0B0 CP Standard Model CP Asymmetry: CP violation in B mesons: w w uct b d b d b c d d c s = CP of final state = -1 for J/ K 0 s, +1 for J/ K 0 L = arg[-V cd V cb * /V td V tb * ]
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Unitarity Triangle Quark mixing described by complex Cabibbo-Kobayashi-Maskawa matrix V CKM unitary V † V = 1 V * i1 V 1j +V * i2 V 2j +V * i3 V 3j = 0/1 V * ub V ud V * tb V td V * cb V cd ( ( ( (rescale sides by 1/|V * cb V cd | and choose V * cb V cd real ) B d ± B d J/ K s,D* ± D ,.. B D ± K
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Constraining The Triangle sin2 = (0.5, 0.8)
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Asymmetric B-factories e + e - (4s) B 0 B 0 (50%) B + B - (50%) PEP-II design luminosity 3x10 33 cm -2 sec -1 + Continuous high precision running 9GeV e - + 3.1GeV e + boosted in lab Y(4s) e, K tag ++ -- e-e- e+e+ B0B0 K0K0 _B0_B0 J/ z~ t measure Small branching ratio for f CP
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PEP-II and BaBar Canada China France Germany Italy Norway Russia UK USA ~ 600 Collaborators 9 Countries ~ 70 Institutions
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The BaBar Detector (4) Electromagnetic Calorimeter (6) Instrumented Iron Yoke (3) Cerenkov- Detector (5) 1.5 T Solenoid (2) Drift Chamber (1) Silicon Vertex Detector e-e- e+e+
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Chronology 1995 - Approval 1998 - Construction completed 1999 - Started taking data - events !! 2000 - Taking data 2,000,000 events per day, 20,000 Bs per day 2001 - Taking data 20,000,000 events per day 100,000 Bs per day 2002 - “Results” 120,000,000 Bs 2002-2005 - Detailed results 1,000,000 Bs per day first measurements first results
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The Method 1)Reconstruct CP eigenstates, J/ K 0 2)“tag” other B flavour 3)Measure z t 4)Fit A(t) for sin(2 ) Complicated by: Mistags Finite time (vertex) resolution Also need B mass difference M(B 0 ) B 0 lifetime B 0 f CP (f + ) B 0 f CP (f - )
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K 0, 0 and J/ Reconstruction K0s+-K0s+- K0s0-K0s0-
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B Reconstruction Completely reconstruct many (anti-)B 0 ’s B 0 J/ K *0 (K + ),D ( * )- ,D ( * )- ,D ( * )- a 1 c.c. Flavour Sample Total sample ~6000 From this sample determine. A) Tagging efficiency B) Mistag fraction
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B Mixing MBMB Mistags di-lepton events A = (N u -N m )/(N u +N m ) Semi-leptonic decays Dilution D = 1-2w A measured = Da true
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CP B Reconstruction B 0 J/ K 0 L EMC IFR all B 0 J/ K 0 s All K 0 s modes B 0 (2s) K 0 s For K L : We do not know K L momentum. We know direction Impose M B constraint Imply momentum Measure E
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Tagging Non CP vertex “tagged” as B or anti-B by: Presence of charged lepton Electron P cm >1.0 GeV/c; Muon P cm >1.1 GeV/c Presence of charged Kaons Kaon Charge 0 Overall event properties (l,K,slow- ) Neural Network b c e, s
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Time Resolution Dominated by vertex resolution for Tagging B Common parameterisation for CP and flavour samples Sum of three Gaussians: Core (88%), Tail (11%), and Outliers (1%) Parameters determined from likelihood fit and other consistency checks B flavor eigenstates B charmonium z = 180 m for tagging vertex, z = 70 m for fully reconstructed vertex
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Mistags and (t) preliminary Quality factor Q = (1-2 w ) 2. (sin2 ) 1 / QN rec if no background Flavour Sample Determines Mistag and t Resolution parameters m(B 0 ) = (0.519 ± 0.020 ± 0.016) ps -1
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Fit for sin2 sin2 b is measured with a 35 parameter simultaneous fit to data flavour and CP samples: m B and B are fixed at the PDG world average values: m B = 0.472 ps -1 B = 1.548 ps
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Fit Parameters Sin2 b 4 signal dilutions (D=1-2w) 4 values of D D for the 4 signal categories 9 parameters for the signal D t resolution function 8 background dilutions 3 parameters describing the background resolution function 1 parameter for the fraction of CP background 5 parameters for the fractions and lifetime of the B flav background
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Measured Asymmetries sin2 = 0.34 0.20 0.05 2 = CP +1 CP -1
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Cross Checks
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Systematic Errors
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BaBar, Belle and the Rest Allowed region (blue) is determined using theoretical inputs and fitting many experimental measurements Feb 2001 Belle (~10 fb -1 ) sin(2 ) = 0.58 ±0.33±0.1 BaBar (~22fb-1) sin(2 ) = 0.34 ±0.20±0.05
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What if sin(2 ) is < 0.5 ? Standard model bound ~ 0.59 sin2 0.82 SM constraints are wrong because : SM valid but: |V ub | smaller than theoretically favoured range SU(3) breaking in B d 0 /B s 0 mixing larger than favoured range B K larger than theoretically favoured range SM incomplete; new flavour violating and/or CP violating physics: New contributions to B d 0 mixing and B s 0 mixing New CP violating contribution to B 0 mixing New CP violating contribution to K 0 mixing (and K ) Eyal, Nir and Perez hep-ph/008009
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Covering the Angles B A B AR can measure the phase angles Very clean, Eff B.R. ~ 10 - 4 B.R. ~ few 10 - 6 Theoretically uncertain Eff B.R ~10 - 7 ; tough!! B 0 d J/ K 0 S B 0 d B 0 d DK
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‘80 ‘90 ‘00 Prospects 6 12 1818 (fb -1 ) ‘80‘90‘00 CESR/CLEO (from CESR Web page) PEPII/B A B AR ‘05 30 fb -1
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Conclusions PEP-II and BaBar collected/analysed ~25 fb -1 in 2000 More than double our data by the end of the run in August By 2005, we should accumulate ~ 500 fb -1 Measure sin 2 , compare sin 2 in individual modes Measurements of direct CP violation and rare decays. sin 2 = 0.34 0.20 0.05 The BaBarians have already arrived !
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