The Future of V ub. Antonio Limosani JSPS Fellow (KEK-IPNS JAPAN) BMN BNM Tsukuba (KEK) Sep Antonio Limosani KEK Slide 1
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1 The Future of V ub Antonio Limosani JSPS Fellow (KEK-IPNS JAPAN) BMN 2006 BNM Tsukuba (KEK) Sep Antonio Limosani KEK Slide 1
2 Motivation Fundamental parameter in SM L SM =...+ gw µ + b L γ µ V ub u L +... CKM mixing matrix element V ud V us V ub V cd V cs V cb V td V ts V tb Unitarity Triangle Side-length V ud V ub * ϕ 2 (α) V td V tb * ϕ 3 (γ ) ϕ 1 (β) V cd V cb * Directly test the mechanism for CP Violation in SM BNM Tsukuba (KEK) Sep Antonio Limosani KEK Slide 2
3 1. Cuts to avoid B X c l ν p l > (M 2 B M 2 D ) 2M B 2. Measure Measurement type - Inclusive 2.3 GeV/c ( 10% phase space) q 2 > (M B M D ) 2 11 GeV 2 /c 2 ( 30%) M X < M D 1.8 GeV/c 2 ( 80%) B Charged lepton hadrons M X neutrino p lepton q 2 3. Extract V ub ΔB(B X u lν) = N Selected N Background ε Quark level BNM Tsukuba (KEK) Sep Antonio Limosani KEK Slide 3
4 HFAG V ub Average Source Stat Exp Bkgd model Error (%) Signal model 1.6 HQE: m b 4.2 SSF/matching WA Total BNM Tsukuba (KEK) Sep Antonio Limosani KEK Slide 4
5 Fully reconstructed B sample Dedicated exclusive channels are searched for in reconstruction 180 decay chains Clean environment but small sample Reconstruction Efficiency ~ 0.3% Reconstructed modes BNM Tsukuba (KEK) Sep Antonio Limosani KEK Slide 5
6 Fully reconstructed B analysis Fully reconstruct the event 4-momenta of both B s are known Identify lepton from B Xlν on the signal side Use Particle ID to reconstruct the hadronic system and calculate Estimate the signal B X u lν BNM Tsukuba (KEK) Sep Antonio Limosani KEK Slide 6
7 Belle M x 253/fb M x < 1.7 GeV/c 2 Phys.Rev.Lett.95:241801,2005 (hep-ex/ ) ΔB=(1.24±0.11(stat) ±0.09(sys) ± 0.08(b->u) ±0.03(b->c))x10-3 V ub =4.09 x10-3 (1 ±0.049 (stat) ±0.035 (sys) ±0.031 (b->u) ±0.011 (b->c) ±0.045 (SF) ±0.038 (theory)) BNM Tsukuba (KEK) Sep Antonio Limosani KEK Slide 7
8 M x Analysis : Statistical Error projections Luminosity(/ab) Signal to Noise B tag efficiency V ub stat % BNM Tsukuba (KEK) Sep Antonio Limosani KEK Slide 8
9 M x Analysis : Systematic & Theory Error projections Luminosity(/ab) Detector simulation Background model (charm) Signal model Extrapolating to full branching fraction (SF) Theory V ub : Matching scales, SSF Theory/Exp V ub : Weak Annihilation V ub stat % Depends of HQE parameters : b-quark mass, m b, dominates BNM Tsukuba (KEK) Sep Antonio Limosani KEK Slide 9
10 M x Analysis : b-quark mass b-quark mass, m b (4.60 +/- 0.04) GeV/c 2 Luminosity(/ab) Exp error: Moments data Theory error Vary α s, m b, m c Total error Precision on m b hits theory floor! BNM Tsukuba (KEK) Sep Antonio Limosani KEK Slide 10
11 M x Analysis : Systematic & Theory Error projections Luminosity(/ab) Detector simulation Background model (charm) Signal model Extrapolating to full branching fraction (SF) Theory V ub : Matching scales, SSF Theory/Exp V ub : Weak Annihilation BNM Tsukuba (KEK) Sep Antonio Limosani KEK Slide 11
12 M x Analysis : Total Error projections Luminosity(/ab) V ub total % V ub exp % V ub theory % BNM Tsukuba (KEK) Sep Antonio Limosani KEK Slide 12
13 M x Analysis : Total Error projections BNM Tsukuba (KEK) Sep Antonio Limosani KEK Slide 13
14 V ub with Reduced Model dependence Phys.Rev.Lett. 96 (2006) (hep-ex/ ) (BABAR Collaboration) M x < 2.5 GeV/c 2 V ub =3.84 x10-3 (1 ±0.182 (stat) ±0.036 (sys) ±0.056 (b->u) ±0.038 (b->c) ±0.000 (SF) ±0.026 (theory)) BNM Tsukuba (KEK) Sep Antonio Limosani KEK Slide 14
15 Error projections Luminosity(/ab) Statistics Detector simulation Background model (charm) Signal model Extrapolating to full branching fraction (SF) Theory V ub : Perturbative Total BNM Tsukuba (KEK) Sep Antonio Limosani KEK Slide 15
16 Error projections BNM Tsukuba (KEK) Sep Antonio Limosani KEK Slide 16
17 Measurement types - Exclusive B pion π neutrino Experimentally less ambiguous than the inclusive decay Charged lepton q 2 Theoretical description parameterised by a single form factor db(b 0 π l + ν) dq 2 d(cosθ Wl ) V ub = p lepton = V ub 2 τ B 0 B(B (π / ρ)lν Γ thyτ B, G F 2 k π 3 Γ thy Form factor normalisation 32π 3 sin2 θ Wl f (q 2 ) 2 Determine Γ using unquenched lattice QCD calculations. Model independent Limited to q 2 >16 GeV 2 /c 2 BNM Tsukuba (KEK) Sep Antonio Limosani KEK Slide 17
18 Current status - Exclusive BNM Tsukuba (KEK) Sep Antonio Limosani KEK Slide 18
19 V ub from ΔB(B->πlv:q 2 >16) Three methods 1. Untagged: Systematic error 0.2ab -1 (BABAR) Previous to this study consensus was one couldn t get lower than 8% 2. Semileptonic tag : Systematic error 0.25ab -1 (Belle) Systematic dominated by statistics of control sample Total error 5ab -1 and 50ab Full B reconstruction tag : Systematic error -1 (Belle) Total error : -1 (statistics dominated) Total error : -1 Total error : -1 (improvement in full recon efficiency) Total error : -1 Theoretical uncertainties (Lattice QCD) Phys. Rev. D73: (2006) Currently error is at 12%, but it s anticipated that it will reach 5%. BNM Tsukuba (KEK) Sep Antonio Limosani KEK Slide 19
20 Future of Exclusive V ub BNM Tsukuba (KEK) Sep Antonio Limosani KEK Slide 20
21 Future of V ub Tagged analyses are essential At logged luminosities of 5/ab and 50/ab precision is limited by systematic and theoretical uncertainties ~ 5% Co-ordinated experimental and theory studies are needed to reduce this error further b-quark mass BNM Tsukuba (KEK) Sep Antonio Limosani KEK Slide 21
22 Backup Slides BNM Tsukuba (KEK) Sep Antonio Limosani KEK Slide 22
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