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2 July 2004 Liliana Teodorescu 2 Introduction Introduction Analysis method B u and B d decays to mesonic final states (results and discussions) (results and discussions) Conclusion
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2 July 2004 Liliana Teodorescu 3 Rare B decays branching fractions (BF) less than 10 -5 do not involve CKM favoured b->c transitions Theoretical mechanism CKM suppressed tree b->u transitions (T) loop (penguin) b->s or b->d transitions (P) interference between T and P => direct CP violation Direct CP violation observable weak phase diff. strong phase diff. A CP sizeable whenand
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2 July 2004 Liliana Teodorescu 4 Physics interest Standard Model Precise tests of the theoretical predictions (small amplitude processes) Potential evidence for CP violation Constraints on CKM parameters – extraction of UT angles through New Physics New particles hidden in the loops Constraints on theoretical models SMnon-SM Higgs SUSY Covered in this talk Covered in this talk direct measurements of the time-dependent asymmetries branching fraction dependence on the UT angles BFs and A CP (time-integrated) (Babar, Belle, Cleo) Observables BF time-integrated CP asymmetry time-dependent CP asymmetry
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2 July 2004 Liliana Teodorescu 5 Signal isolation identification of reconstructed B with 2 almost uncorrelated kinematical var. beam-energy substituted mass (beam constrained mass – M bc ) energy difference Signal: m ES = m B Signal: E = 0 Background suppression “continuum” events - non-resonant B decays: sphericContinuum: jet-like event shape variables: used independently, in a Fisher discriminant or in a Neural Network Signal extraction 1dim. or multidim. fit of E, m ES (M bc ), shape var., PID var. cont. bkg. - modeled with a phase-space function with kinematical threshold - studied with events of sidebands in E, m ES (M bc ) outside the signal region off-resonance data, MC etc. other B decays – decay angles, helicity angles etc. exploit production at threshold and small energy released in Babar, Belle, Cleo
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2 July 2004 Liliana Teodorescu 6 HFAG – Heavy Flavor Averaging Group http://www.slac.stanford.edu/xorg/hfag In this talk used HFAG averages rely on HFAG references referenced explicitly only new results Presented in this talk
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2 July 2004 Liliana Teodorescu 7 Physics interest provide information used in CKM angles ( 2 ) and ( 3 ) determination extraction of angles suffers from hadronic uncertainties in the theoretical calculations BFs give limits of these hadronic uncertainties A CP used to establish the direct CP violation in SM or indicate New Physics
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2 July 2004 Liliana Teodorescu 8 B -> + - B -> 0 0 contributions from color-suppressed tree and gluonic penguin amplitudes theoretical predictions: BF < 1·10 -6 observation of significant signal B -> + 0 b->u tree dominated + - 78fb -1 82fb -1 15fb -1 142fb -1 3.4 BF (10 -6 ) signal 140fb -1 4.2
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2 July 2004 Liliana Teodorescu 9 BF’s ratios expectations significant penguin contribution to + - mode => penguin pollution complicates the extraction of ( 2 ) from time-dependent CP asymmetries CP Asymmetries 82fb -1 Preliminary 140fb -1 Direct CP violation in B 0 -> + - 140fb -1 (in time-dependent analysis) Cross check time-integrated asymmetry PRL, hep-ex/0401029 Do not observe CP violation (time-dependent analysis ) Obsevation PR D65, 013004, 2002
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2 July 2004 Liliana Teodorescu 10 B -> K + b->u tree and b->s penguin transitions penguin amplitude dominates B -> K 0 + no b->u transition, only b->s penguin trans. good case to determine penguin’s contrib. B -> K 0 0 dominated by color suppressed tree 82fb -1 78fb -1 15fb -1 Significant penguin contribution isospin relations the 3 ratios = 1 BF (10 -6 )
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2 July 2004 Liliana Teodorescu 11 CP Asymmetries B -> K could be significant due to interference between T and P amplitudes no evidence of direct CP violation in K decay modes B -> KK BFs give information about the rescattering processes (FSI) rescattering can modify BF and A CP for and K modes KK more sensitive to rescattering effects BF limits in agreement with pQCD predictions (PR D63, 014003 (2000)) no evidence of rescattering yet 82fb -1 Preliminary 9.13fb -1 140fb -1 BF (10 -6 )
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2 July 2004 Liliana Teodorescu 12 Physics interest provide information for understanding the relative contribution of tree and penguin amplitudes in B decays have potential for establishing the direct CP violation
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2 July 2004 Liliana Teodorescu 13 CKM suppressed destructive interference and / ’ mixing A CP expected (20-40)% for the suppressed modes flavor-singlet (important for ´K * ) Belle: -0.02 0.07 0.01 Cleo: +0.03 0.12 0.02 PL B254(1991)247 BF (10 -6 ) K 0, K *0 modes - no external tree agreement with NLO QCD NP B651(2003)225 Preliminary
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2 July 2004 Liliana Teodorescu 14 color suppressed dominant CKM suppressed 0, 0 modes - no external tree BF (10 -6 ) Expectations: BF’s: (0.1-1.0) 10 -6 ( ( ’ ) + the highest) A CP : large for , small for A CP hep-ph/0307395 Preliminary
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2 July 2004 Liliana Teodorescu 15 Physics interest provide methods for extracting CKM angle ( 2 ) e.g. decay amplitude isospin analysis of decay amplitudes are extracted from BFs and A CP asymmetries test the theoretical models with the BF’s ratio (large range of predictions)
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2 July 2004 Liliana Teodorescu 16 needed for the isospin analysis for extraction using the decay modes: give limits on the contribution of penguin ampl. BF predictions around or below 10 -6 hep-ex/0405068 140fb -1 N sig =15.1 4.8 Sig. = 3.5 BF=(5.1 1.6 0.9)·10 -6 82fb -1 BF < 2.9·10 -6 Evidence signal cont. bkg. cont.+ B bkg. BF higher than the theoretical predictions central value higher than BaBar limit Some contributions to the decay ampl. higher than expected => isospin analysis more complicated
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2 July 2004 Liliana Teodorescu 17 BF (10 -6 ) BF’s ratio Theory R 6 tree level estimates Z. Phys. C34, 103 (1987) R 2-3 penguin, off-shell B * Excited states, scalar + - resonan. PRL 86,216 (2001), PR D66,034019(2002) Babar A cp no evidence of direct CP violation 82fb -1 140 / 78fb -1 9.1fb -1
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2 July 2004 Liliana Teodorescu 18 suppressed amplitudes => BF ~ 10 -6 or even less (e.g. BF(B-> )~10 -9 ) Physics interest test of theoretical models – many different approaches search for New Physics signature PRD 68, 015004 (2003) model independent bound on S: time–dependent CP asymmetry parameter calculated with BF’s of If the experimental S much higher than this bound => New Physics
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2 July 2004 Liliana Teodorescu 19 Sign.Babar 82fb -1 Cleo 3.1fb -1 hep-ex/0403046 Submited to PRL B 0 -> With the new BF values: S charmonium = 0.736 0.049 S ’K s = 0.27 0.21 HFAG average
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2 July 2004 Liliana Teodorescu 20 angular distribution reflects strong and weak interaction dynamics aditional observables for detecting direct CP violation or NP f L = L / - longitudinal polarization fraction Physics interest modes provides an alternative method for measurement
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2 July 2004 Liliana Teodorescu 21 B-> K * B-> K * - pure b->s P (unambiguous signiture for P) B-> K * B-> K * - dominant b->s P + b->u tree B-> B-> - b->u Tree and CKM suppressed b->d P (potential measurement) A CP expectations K * : 1% in SM, <30% with NP contribution K * : possible large (T–P interf.) + 0 : isospin-breaking processes (e.g. EW P)=> high CP asym. BF (10 -6 ) A CP 82fb -1 9fb -1 78fb -1 82fb -1
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2 July 2004 Liliana Teodorescu 22 Polarization Theory predictions – longitudinal polarization dominates in all modes Measurements - helicity angular distribution analysis - full 3-dim. angular analysis ( K* 0 - Babar, Belle) fLfL As expected Less than expected!! B-> K * NP in b->s penguin transition? (hep-ph/0310229) 82fb -1 78fb -1
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2 July 2004 Liliana Teodorescu 23 observation of B-> 0 0 BF = (1.9 0.5) 10 -6 (HFAG) observation of direct CP violation in B-> + - (Belle) no other evidence of direct CP violation time-integrated CP asymmetries (Babar) need more data to establish a conclusion evidence for B-> 0 0, Sig. 3.5 (Belle) BF higher than theoretical predictions (Babar) B-> f L 1 expected (Babar and Belle) B-> K * f L <<1 not expected (Babar and Belle) time-integrated B factories are living interesting times. More interesting ones will come!
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