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b Production Cross Section and Fragmentation Fractions at LHCb

b Production Cross Section and Fragmentation Fractions at LHCb. Motivation LHCb b-cross section Semi- leptonic B 0/+ →D 0 X μν J/ ψ b →J/ ψ X Fragmentation fractions f s / f d Semi- leptonic B (s) 0/+ →D (s) +/0 X μν Hadronic B 0 s →D s - π + and B 0 →D - π + /K +.

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b Production Cross Section and Fragmentation Fractions at LHCb

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  1. b Production Cross Section and Fragmentation Fractions at LHCb • Motivation • LHCb • b-cross section • Semi-leptonic B0/+→D0Xμν • J/ψ b →J/ψX • Fragmentation fractions fs/fd • Semi-leptonicB(s)0/+→D(s)+/0Xμν • Hadronic B0s→Ds-π+andB0→D-π+/K+ Niels Tuning on behalf of the LHCb collaboration Amsterdam, 5 April 2011

  2. Motivation b cross section: • Comparison to QCD predictions • Knowledge of b-yield to ascertain sensitivities in B-physics analyses Fragmentation fractions, fs/fd: • Input to e.g. inclusive b cross section measurement • Needed for allBs0 branching ratios • In particular BR(B0s→ μ+μ-) Number of measured Bs0decay modes is limited: + LHCb: Γi : Bs0→K*0K*0 Γi : Bs0→D0K*0 Γi : Bs0→Ds2 (2573)μν Γi : Bs0→ J/ψf0 (980) b cross section and fs/fd at LHCb

  3. The LHCb Detector 23 sep 2010 19:49:24 Run 79646 Event 143858637 b cross section and fs/fd at LHCb

  4. The LHCb Detector B0(s)→D(s)Xμν PID B(s)0→D(s)-K/π Lifetime, B0(s) RICH1 T MAGNET TT VELO MUON CALO RICH2 Interaction Point Suppress background, σ(MB) B(s)0 →D(s)-K/π Trigger & PID: B(s)0→ D(s)-K/π See also Neville Harnew. Monday 10:10, LHCb detector performance b cross section and fs/fd at LHCb

  5. LHC and LHCb performance • LHC and LHCb show excellent performance • Recorded 38 pb-1 • 1010bb-pairs produced effLHCb = 90.3% fs/fd (35 pb-1) hadronic b cross section J/ (5 pb-1) fs/fd (3 pb-1) semi-leptonic b cross section semi-lep (15 nb-1) b cross section and fs/fd at LHCb

  6. b cross section: semi-leptonic LHCb Collaboration, R.Aaij et al., Phys.Lett.B694:209-216,2010, arXiv:1009.2731 • Measure pp→bbXthrough • b→D0Xμ-ν D0→K-π+ • Distinguish b from prompt using impact parameter: Prompt D0: D0 from b: For more semi-leptonics, see : Rob Lambert. Thursday 9:25, Semileptonic decays (beauty/charm) & plans at LHCb b cross section and fs/fd at LHCb

  7. b cross section: semi-leptonic LHCb Collaboration, R.Aaij et al., Phys.Lett.B694:209-216,2010, arXiv:1009.2731 • Measure pp→bbXthrough • b→D0Xμ-ν D0→K-π+ • 2D unbinned likelihood fit to m(Kπ) and ln(IP) D0 mass D0 impact parameter Large impact parameter: from b For more semi-leptonics, see : Rob Lambert. Thursday 9:25, Semileptonic decays (beauty/charm) & plans at LHCb b cross section and fs/fd at LHCb

  8. b cross section: semi-leptonic • Measure pp→bbXthrough • b→D0Xμ-ν D0→K-π+ D0 impact parameter: (D0μ)-pairs Background: K and μ withopposite charge D0 impact parameter b cross section and fs/fd at LHCb

  9. b cross section: semi-leptonic • Measure pp→bbXthrough • b→D0Xμ-ν D0→K-π+ • Result (2<η<6): σ(pp→bbX) = 75.3±5.4±13.0 μb (assuming LEP fragmentation fractions) σ(pp→bbX) = 89.6±6.4±15.5 μb (assuming Tevatron fragmentation fractions) • Extrapolate to full rapidity range: HFAG, D. Asner et al., arXiv:1010.1589  CDF, Phys.Rev.D77:072003,2008., arXiv:0801.4375 x 2.9 nb-1microbias 12.2 nb-1triggered (MCFM v5.8, Campbell, Ellis) - combined Cacciari, Nason, Frixione, Mangano, Ridolfi e.g. hep-ph/9803400 Theoretical error (e.g. mb and μR,F) • NB: translation to b→D0Xμ-ν • depends on BR and fs/fd: • B0→D*-Xμ+ν → D0Yμ+ν • B+ → D0Xμ+ν • B0s→Ds*-Xμ+ν → D0Yμ+ν LHCb, 15.1 nb-1 LHCb Collaboration, R.Aaij et al., PLB694:209-216,2010, arXiv:1009.2731 b cross section and fs/fd at LHCb

  10. b cross section: J/ψ’s • Measure pp→bbXthrough • b→J/ψ(μ-μ+)X LHCb Collaboration, R.Aaij et al., Submitted to EPJ C, arXiv:1103.0423 LHCb Collaboration, R.Aaij et al., Submitted to EPJ C, arXiv:1103.0423 Large tz bkgd: from semi-lep b See also: Jibo He, Wednesday 10:00, J/ψ cross section (incl. B→J/ψX) and J/ψ polarization at LHCb b cross section and fs/fd at LHCb

  11. b cross section: J/ψ’s • Measure pp→bbXthrough • b→J/ψ(μ-μ+)X • Double differential cross section: LHCb Collaboration, R.Aaij et al., Submitted to EPJ C, arXiv:1103.0423 See also: Jibo He, Wednesday 10:00, J/ψ cross section (incl. B→J/ψX) and J/ψ polarization at LHCb b cross section and fs/fd at LHCb

  12. b cross section at LHCb • Measure pp→bbXthrough • b→D0Xμν • b→J/ψX • Good agreement among both measurements LHCb Collaboration, R.Aaij et al., Phys.Lett.B694:209-216,2010, arXiv:1009.2731 J/ from b √s=7 TeV LHCb 5.1 pb-1 (MCFM v5.8, Campbell, Ellis) LHCb Collaboration, R.Aaij et al., Submitted to EPJ C, arXiv:1103.0423 Cacciari, Nason, Frixione, Mangano, Ridolfi Theoretical error (e.g. mb and μR,F) BR(b→J/ X) =1.16% Assuming frag. fractions from LEP LHCb 15.1 nb-1 yJ/ b • NB: both measurements have many correlated errors, e.g. luminosity (10%), tracking eff.(8%), etc. b cross section and fs/fd at LHCb

  13. b cross section at LHCb • Measure pp→bbXthrough • b→D0Xμν • b→J/ψX • Good agreement among both measurements • Good agreement with QCD predictions LHCb Collaboration, R.Aaij et al., Phys.Lett.B694:209-216,2010, arXiv:1009.2731 (MCFM v5.8, Campbell, Ellis) Cacciari, Nason, Frixione, Mangano, Ridolfi e.g. hep-ph/9803400 Cacciari, Nason, Frixione, Mangano, Ridolfi Theoretical error (e.g. mb and μR,F) LHCb 15.1 nb-1 LHCb Collaboration, R.Aaij et al., Submitted to EPJ C, arXiv:1103.0423 b b cross section and fs/fd at LHCb

  14. Motivation b cross section: • Comparison to QCD predictions • Knowledge of b-yield to ascertain sensitivities in B-physics analyses Fragmentation fractions, fs/fd: • Input to e.g. inclusive b cross section measurement • Needed for allBs0 branching ratios • In particular BR(B0s→ μ+μ-) Two methods: • Semi-leptonic: B0/+(s)→ D(s)+/0 X μν • Hadronic: B0(s) → D(s)- π+/K b cross section and fs/fd at LHCb

  15. Motivation: BR(B0s→μμ) • Branching Ratio very sensitive to NP models • BR strongly enhanced in MSSM at large tanβ: tan6/mA4 A.Buras, G.Isidori, P.Paradisi Phys.Lett.B694:402-409,2011 E.g. G.Isidori & P.Paradisi , Phys.Lett.B639:499-507,2006. • BR(B0s→μμ) determined by normalizing wrt. known decay: fd/fs: Largest uncertainty in BR determination fd/fs: in principle environment dependent LHCb needs to measure it See also: Matteo Palutan, Thuesday 9:00 Bs→μμ, B →K*μ and B →sγ at LHCb b cross section and fs/fd at LHCb

  16. Ratio of fragmentation fractions fs/fdSemi-leptonic • Strategy: • Uncertainties: • Branching ratio BR(Ds) • Bs detection eff • BR(Bs→D0KXμν) • Tracking, PID, Trigger efficiency N(D0) from b: 28474±190 D0 N(D+) from b: 9406±105 D+ N(Ds+) from b: 2208±61 Ds+ LHCb, 3 pb-1 • Updated results expected soon b cross section and fs/fd at LHCb

  17. Extra: BR(Bs0→Ds2*-Xμ+ν) first observation LHCb Collaboration, R.Aaij et al., Phys.Lett.B698:14-20,2011, arXiv:1102.0348 Ds2*+(2573) m(Ds2*+)=2569.4±1.6 MeV b cross section and fs/fd at LHCb

  18. Ratio of fragmentation fractions fs/fd Novel Method • Find decay that is • Theoretically well understood • Experimentally clean Bs→Ds-π+andB0→D-K+ • U-spin related decays • Pure tree diagrams, factorization expected to work well • Factorization OK to ~10% (branching ratio level, estimated from data) • Non-factorizable U-spin breaking effects <2% (estimated from data) • Ratio of form factors can be improved • U-spin breaking effects: ~16-32% effect (branching ratio level) • Need to know to relative 20% ( lattice QCD? ) to match experiment R. Fleischer, N. Serra, N.T, Phys.Rev.D82:034038,2010 Blasi, et al Phys.Rev. D49 (1994) 238-246 b cross section and fs/fd at LHCb

  19. Ratio of fragmentation fractions fs/fd Novel Method • Find decay that is • Theoretically well understood • Experimentally clean Bs→Ds-π+andB0→D-K+ R. Fleischer, N. Serra, N.T, Phys.Rev.D82:034038,2010 • Na =1.00±0.02Non-factorizable U-spin breaking effects <2% (estimated from data) • NF=1.24±0.08 Need to know to relative 20% to match experiment ( lattice QCD?) Blasi, Colangelo, Nardulli, Paver Phys.Rev. D49 (1994) 238-246, hep-ph/9307290 b cross section and fs/fd at LHCb

  20. Ratio of fragmentation fractions fs/fd Novel Method (2) d • Find decay that is • Theoretically well understood • Experimentally clean Bs→Ds-π+andB0→D-π+ π R. Fleischer, N. Serra, N.T, Phys.Rev.D83:014017,2011 π π π • Na =1.00±0.02Non-factorizable U-spin breaking effects <2% (estimated from data) • NF=1.24±0.08 Need to know to relative 20% to match experiment • NE=0.966±0.075 Extra correction due to exchange diagram: R. Fleischer, N. Serra, N.T, Phys.Rev.D83:014017,2011 b cross section and fs/fd at LHCb

  21. Measurement of N(B0→D-K+) and N(Bs0→Ds-π+) • Data set: 35 pb-1 from 2010 • Multivariate selection • Likelihood fit to m(KKππ) • Special care for misidentified B0→D-(π→K+) background: B0→D-(π+→K) N(B0→D-K+)=253±21 Bd→Dπ b cross section and fs/fd at LHCb

  22. Measurement of N(B0→D-K+) and N(Bs0→Ds-π+) • Data set: 35 pb-1 from 2010 • Multivariate selection • Likelihood fit to m(KKππ) • Special care for misidentified B0→D-(π→K+) background N(Bs0→Ds-π+)=670±34 N(B0→D-K+)=253±21 b cross section and fs/fd at LHCb

  23. Measurement of N(B0→D-π+) and N(Bs0→Ds-π+) • Data set: 35 pb-1 from 2010 • Multivariate selection • Likelihood fit to m(Kπππ) N(Bs0→Ds-π+)=670±34 N(B0→D-π+)=4109±75 b cross section and fs/fd at LHCb

  24. Measurement of N(B0→D-π+) and N(Bs0→Ds-π+) • Data set: 35 pb-1 from 2010 • Multivariate selection • Likelihood fit to m(Kπππ) N(Bs0→Ds-π+)=670±34 N(B0→D-π+)=4109±75 • Extra: ratio BR(B0→D-K+)/BR(B0→D-π+)  world best BR(B0→D-K+) See also: Steve Blusk, Thursday 12:15 Bs →DsK and DK states at LHCb b cross section and fs/fd at LHCb

  25. Ratio of fragmentation fractions fs/fd • Uncertainties from • Fit • PID calibration • Reconstruction eff. difference K, π • Branching ratio BR(Ds) b cross section and fs/fd at LHCb

  26. Ratio of fragmentation fractions fs/fd B0→D-K+ B0→D-π+ N(B0→D-π+)=4109±75 N(B0→D-K+)=253±21 N(Bs0→Ds-π+)=670±34 b cross section and fs/fd at LHCb

  27. Ratio of fragmentation fractions fs/fd B0→D-K+ B0→D-π+ Combined: ( LHCb preliminary ) N(B0→D-π+)=4109±75 N(B0→D-K+)=253±21 N(Bs0→Ds-π+)=670±34 b cross section and fs/fd at LHCb

  28. fs/fd compilation Disclaimer: private compilation LHCb B0→DK: fs/fd = 0.242 ± 0.034 LHCb B0→Dπ: fs/fd = 0.249 ± 0.035 LHCb hadronic: fs/fd = 0.245 ± 0.031 . LHCb semi-leptonic: fs/fd = 0.260 ± 0.027 CDF (La Thuile 2011): fs/fd = 0.269 ± 0.033 (updated semi-lep [PRD77] with BR(Ds→φπ)) HFAG (CDF): fs/fd = 0.327 ± 0.039 (updated Mar 2011, semi-lep + avg.mix.χ) (NB: avg.mix.χ to be updated) HFAG (LEP): fs/fd = 0.256 ± 0.026 HFAG (ALL): fs/fd = 0.270 ± 0.034 LHCb 2010 Preliminary (NB: old avg.mix χ) See : Robert Harr, Monday 12:15 CDF Measurement of Time-Integrated Mixing: χold = 0.147 ± 0.011 χnew = 0.126 ± 0.008 χLEP = 0.1259± 0.0042 b cross section and fs/fd at LHCb

  29. fs/fd compilation Disclaimer: private compilation LHCb B0→DK: fs/fd = 0.242 ± 0.034 LHCb B0→Dπ: fs/fd = 0.249 ± 0.035 LHCb hadronic: fs/fd = 0.245 ± 0.031 . LHCb semi-leptonic: fs/fd = 0.260 ± 0.027 CDF (La Thuile 2011): fs/fd = 0.269 ± 0.033 (updated semi-lep [PRD77] with BR(Ds→φπ)) HFAG (CDF): fs/fd = 0.327 ± 0.039 (updated Mar 2011, semi-lep + avg.mix.χ) (NB: avg.mix.χ to be updated) HFAG (LEP): fs/fd = 0.256 ± 0.026 HFAG (ALL): fs/fd = 0.270 ± 0.034 LHCb 2010 Preliminary (NB: old avg.mix χ) →σ(fs/fd)~13% Outlook: 5σNP discovery potential of BR(B0s→μμ) (with σ(fs/fd)~7% ) down to 2x BRSM →σ(fs/fd)~7% R. Fleischer, N. Serra, N.T, Phys.Rev.D82:034038,2010 See also: Matteo Palutan, Thuesday 9:00 Bs→μμ, B →K*μ and B →sγ at LHCb b cross section and fs/fd at LHCb

  30. Summary Wealth of results from LHCb 2010 running: • b cross section: • σ(pp→bbX) = 284±20±49 μb • σ(pp→bbX) = 288± 4±48 μb • extra's: • First observation BR(Bs0→Ds2*-Xμ+ν) • World best BR(B0→D-K+) • fragmentation fractions, fs/fd: • fs/fd = 0.242 ± 0.024 ± 0.018 ± 0.016 • fs/fd = 0.249 ± 0.013 ± 0.020 ± 0.025 • fs/fd = 0.245 ± 0.017 ± 0.018 ± 0.018 • fs/fd = 0.260 ± 0.008 ± 0.026 (stat) (sys) (theo) b→D0Xμ+ ν b→J/X Bs0→Ds2*-Xμ+ν B0→D-K+ B0→D-K+ B0→D-π+ B0→D-h+ B0→D-Xμ+ ν b cross section and fs/fd at LHCb

  31. Backups b cross section and fs/fd at LHCb

  32. LHCb Papers LHCb Collaboration, R.Aaij et al., Phys.Lett.B698:14-20,2011, arXiv:1102.0348 LHCb Collaboration, R.Aaij et al., Submitted to EPJ C, arXiv:1103.0423 LHCb Collaboration, R.Aaij et al., Phys.Lett.B694:209-216,2010, arXiv:1009.2731 b cross section and fs/fd at LHCb

  33. fs/fd compilation Disclaimer: private compilation LHCb B0→DK: fs/fd = 0.242 ± 0.034 LHCb B0→Dπ: fs/fd = 0.249 ± 0.035 LHCb hadronic: fs/fd = 0.245 ± 0.031 . LHCb semi-leptonic: fs/fd = 0.260 ± 0.027 CDF (La Thuile 2011): fs/fd = 0.269 ± 0.033 (updated semi-lep [PRD77] with BR(Ds→φπ)) HFAG (CDF): fs/fd = 0.327 ± 0.039 (updated Mar 2011, semi-lep + avg.mix.χ) (NB: avg.mix.χ to be updated) HFAG (LEP): fs/fd = 0.256 ± 0.026 HFAG (ALL): fs/fd = 0.270 ± 0.034 LHCb 2010 Preliminary (NB: old avg.mix χ) HFAG March 2011: b cross section and fs/fd at LHCb

  34. Factorization R. Fleischer, N. Serra, N.T, Phys.Rev.D83:014017,2011 • Factorization works to better then 5% • Deviation from semileptonic rate is small • Na under control b cross section and fs/fd at LHCb

  35. fd/fs from CDF Factorization and SU(3) symmetry OK Deviation from semi-leptonic rate is small d↔s symmetry OK (compare B→DK and B→Dπ) Can even use B0→D+π-instead of B0→D+K- CDF (PDG) CDF, Phys. Rev. Lett. 98 (2007) 061802 CDF (FST) R. Fleischer, N. Serra, N.T, Phys.Rev.D83:014017,2011 b cross section and fs/fd at LHCb

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