Second order QCD corrections to inclusive semileptonic b→X clv̄ l decays with massless and massive lepton

Journal of High Energy Physics

Volumn 2010, Issue 2, 2010, Pages

  Biswas, Sandip ^a   Melnikov, Kirill ^a  

^a JOHNS HOPKINS UNIVERSITY   (United States)

Author keywords

B physics; Heavy quark physics; Quark masses and SM parameters

Indexed keywords

EID: 84856382956     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP02(2010)089     Document Type: Article

References (73)

1. BABAR collaboration, B. Aubert et al., Determination of the branching fraction for B → Xcℓν decays and of |Vcb| from hadronic mass and lepton energy moments, Phys. Rev. Lett. 93 (2004) 011803 [hep-ex/0404017] [SPIRES].
2. BABAR collaboration, B. Aubert et al., Measurements of moments of the hadronic massdistribution in semileptonic B decays, Phys. Rev. D 69 (2004) 111103 [hep-ex/0403031] [SPIRES].
3. BABAR collaboration, B. Aubert et al., Measurement of the electron energy spectrum and its moments in inclusive B → Xeν decays, Phys. Rev. D 69 (2004) 111104 [hep-ex/0403030] [SPIRES].
4. BABAR collaboration, B. Aubert et al., Measurements of the B → Xsγ branching fraction and photon spectrum from a sum of exclusive final states, Phys. Rev. D 72 (2005) 052004 [hep-ex/0508004] [SPIRES].
5. Belle collaboration, P. Koppenburg et al., An inclusive measurement of the photon energy spectrum in b → sγ decays, Phys. Rev. Lett. 93 (2004) 061803 [hep-ex/0403004] [SPIRES].
6. DELPHI collaboration, J. Abdallah et al., Determination of heavy quark non-perturbative parameters from spectral moments in semileptonic B decays, Eur. Phys. J. C 45 (2006) 35 [hep-ex/0510024] [SPIRES].
7. CLEO collaboration, S.E. Csorna et al., Moments of the B meson inclusive semileptonic decay rate using neutrino reconstruction, Phys. Rev. D 70 (2004) 032002 [hep-ex/0403052] [SPIRES].
8. CLEO collaboration, S. Chen et al., Branching fraction and photon energy spectrum for b → sγ, Phys. Rev. Lett. 87 (2001) 251807 [hep-ex/0108032] [SPIRES].
9. CDF collaboration, D.E. Acosta et al., Measurement of the moments of the hadronic invariant mass distribution in semileptonic B decays, Phys. Rev. D 71 (2005) 051103 [hep-ex/0502003] [SPIRES].
10. BABAR collaboration, B. Aubert et al., Measurement and interpretation of moments in inclusive semileptonic decays B̄ → Xcl̄̄ν, arXiv:0908.0415 [SPIRES].
11. τ ) and BR(b → sν̄ν), Eur. Phys. J. C 19 (2001) 213 [hep-ex/0010022] [SPIRES].
12. - ν̄τX, Phys. Lett. B 520 (2001) 1 [hep-ex/0108031] [SPIRES].
13. - ν̄τ, Phys. Rev. D 79 (2009) 092002 [arXiv:0902.2660] [SPIRES].
14. M.A. Shifman and M.B. Voloshin, Preasymptotic effects in inclusive weak decays of charmed particles, Sov. J. Nucl. Phys. 41 (1985) 120
15. [Yad. Fiz. 41 (1985) 187] [SPIRES].
16. J. Chay, H. Georgi and B. Grinstein, Lepton energy distributions in heavy meson decays from QCD, Phys. Lett. B 247 (1990) 399 [SPIRES].
17. I.I. Bigi, N. Uraltsev and A. Vainshtein, Nonperturbative corrections to inclusive beauty and charm decays: QCD versus phenomenological models, Phys. Lett. B 293 (1992) 430 [Erratum ibid. B 297 (1992) 477] [hep-ph/9207214] [SPIRES].
18. I.I.Y. Bigi, M.A. Shifman, N.G. Uraltsev and A.I. Vainshtein, QCD predictions for lepton spectra in inclusive heavy flavor decays, Phys. Rev. Lett. 71 (1993) 496 [hep-ph/9304225] [SPIRES].
19. cb| and mb, Phys. Rev. D 67 (2003) 054012 [hep-ph/0210027] [SPIRES].
20. C.W. Bauer, Z. Ligeti, M. Luke, A.V. Manohar and M. Trott, Global analysis of inclusive B decays, Phys. Rev. D 70 (2004) 094017 [hep-ph/0408002] [SPIRES].
21. O. Buchmuller and H. Flacher, Fits to moment measurements from B → Xclν and B → Xsγ decays using heavy quark expansions in the kinetic scheme, Phys. Rev. D 73 (2006) 073008 [hep-ph/0507253] [SPIRES].
22. sl(B), Mod. Phys. Lett. A 17 (2002) 2317 [hep-ph/0210413] [SPIRES].
23. b in semileptonic B decays, Phys. Lett. B 221 (1989) 184 [SPIRES].
24. A. Ali and E. Pietarinen, Semileptonic decays of heavy quarks in quantum chromodynamics, Nucl. Phys. B 154 (1979) 519 [SPIRES].
25. G. Altarelli, N. Cabibbo, G. Corbo, L. Maiani and G. Martinelli, Leptonic decay of heavy flavors: a theoretical update, Nucl. Phys. B 208 (1982) 365 [SPIRES].
26. M. Jezabek and J.H. Kuhn, QCD corrections to semileptonic decays of heavy quarks, Nucl. Phys. B 314 (1989) 1 [SPIRES].
27. M. Jezabek and J.H. Kuhn, Lepton spectra from heavy quark decay, Nucl. Phys. B 320 (1989) 20 [SPIRES].
28. A. Czarnecki, M. Jezabek and J.H. Kühn, Hadron spectra from semileptonic decays of heavy quarks, Acta Phys. Polon. B 20 (1989) 961 [SPIRES].
29. A. Czarnecki and M. Jezabek, Distributions of leptons in decays of polarized heavy quarks, Nucl. Phys. B 427 (1994) 3 [hep-ph/9402326] [SPIRES].
30. A. Falk, M.E. Luke and M.J. Savage, Hadron spectra for semileptonic heavy quark decay, Phys. Rev. D 53 (1996) 2491 [hep-ph/9507284] [SPIRES].
31. C. W. Bauer and B. Grinstein, Detector resolution effects on hadronic mass moments in B → Xlν, Phys. Rev. D 68 (2003) 054002 [hep-ph/0212164] [SPIRES].
32. c quark mass difference, Phys. Rev. D 51 (1995) 4934 [hep-ph/9411296] [SPIRES].
33. A.F. Falk and M.E. Luke, Hadronic spectral moments in semileptonic B decays with a lepton energy cut, Phys. Rev. D 57 (1998) 424 [hep-ph/9708327] [SPIRES].
34. b from the hadronic invariant mass moments of semileptonic inclusive B decay, Phys. Rev. D 70 (2004) 073003 [hep-ph/0402120] [SPIRES].
35. N. Uraltsev, Perturbative corrections to the semileptonic b-decay moments: eℓ cut dependence and running-αs effects in the OPE approach, Int. J. Mod. Phys. A 20 (2005) 2099 [hep-ph/0403166] [SPIRES].
36. V. Aquila, P. Gambino, G. Ridolfi and N. Uraltsev, Perturbative corrections to semileptonic b decay distributions, Nucl. Phys. B 719 (2005) 77 [hep-ph/0503083] [SPIRES].
37. A. Czarnecki and K. Melnikov, Two-loop QCD corrections to semileptonic b decays at an intermediate recoil, Phys. Rev. D 59 (1999) 014036 [hep-ph/9804215] [SPIRES].
38. A. Czarnecki and K. Melnikov, Two-loop QCD corrections to semileptonic b decays at maximal recoil, Phys. Rev. Lett. 78 (1997) 3630 [hep-ph/9703291] [SPIRES].
39. A. Czarnecki, Two-loop QCD corrections to b → c transitions at zero recoil, Phys. Rev. Lett. 76 (1996) 4124 [hep-ph/9603261] [SPIRES].
40. A. Czarnecki and K. Melnikov, Two-loop QCD corrections to b → c transitions at zero recoil: analytical results, Nucl. Phys. B 505 (1997) 65 [hep-ph/9703277] [SPIRES].
41. J. Franzkowski and J.B. Tausk, O(αs2) corrections to b → c decay at zero recoil, Eur. Phys. J. C 5 (1998) 517 [hep-ph/9712205] [SPIRES].
42. 2 ) corrections to semileptonic decay b → clν̄l, Phys. Lett. B 666 (2008) 336 [arXiv:0803.0951] [SPIRES].
43. C. Anastasiou, K. Melnikov and F. Petriello, A new method for real radiation at NNLO, Phys. Rev. D 69 (2004) 076010 [hep-ph/0311311] [SPIRES].
44. C. Anastasiou, K. Melnikov and F. Petriello, Real radiation at NNLO: e+e- → 2 jets through O(αs2 ), Phys. Rev. Lett. 93 (2004) 032002 [hep-ph/0402280] [SPIRES].
45. C. Anastasiou, K. Melnikov and F. Petriello, Higgs boson production at hadron colliders: differential cross sections through Next-to-Next-to-Leading Order, Phys. Rev. Lett. 93 (2004) 262002 [hep-ph/0409088] [SPIRES].
46. C. Anastasiou, K. Melnikov and F. Petriello, Fully differential Higgs boson production and the di-photon signal through Next-to-Next-to-Leading Order, Nucl. Phys. B 724 (2005) 197 [hep-ph/0501130] [SPIRES].
47. K. Melnikov and F. Petriello, The W boson production cross section at the LHC through O(αs2), Phys. Rev. Lett. 96 (2006) 231803 [hep-ph/0603182] [SPIRES].
48. 2), Phys. Rev. D 74 (2006) 114017 [hep-ph/0609070] [SPIRES].
49. C. Anastasiou, K. Melnikov and F. Petriello, The electron energy spectrum in muon decay through O(α2), JHEP 09 (2007) 014 [hep-ph/0505069] [SPIRES].
50. A. Pak and A. Czarnecki, Mass effects in muon and semileptonic b → c decays, Phys. Rev. Lett. 100 (2008) 241807 [arXiv:0803.0960] [SPIRES].
51. A. Pak and A. Czarnecki, Heavy-to-heavy quark decays at NNLO, Phys. Rev. D 78 (2008) 114015 [arXiv:0808.3509] [SPIRES].
52. cℓ̄ν at one loop, JHEP 12 (2007) 062 [arXiv:0708.0855] [SPIRES].
53. b → τ anti-neutrino X, Phys. Rev. D 49 (1994) 3379 [hep-ph/9311215] [SPIRES].
54. A.F. Falk, Z. Ligeti, M. Neubert and Y. Nir, Heavy quark expansion for the inclusive decay B̄ → τ anti-neutrino X, Phys. Lett. B 326 (1994) 145 [hep-ph/9401226] [SPIRES].
55. S. Balk, J.G. Korner, D. Pirjol and K. Schilcher, Inclusive semileptonic B decays in QCD including lepton mass effects, Z. Phys. C 64 (1994) 37 [hep-ph/9312220] [SPIRES].
56. T. Binoth and G. Heinrich, An automatized algorithm to compute infrared divergent multi-loop integrals, Nucl. Phys. B 585 (2000) 741 [hep-ph/0004013] [SPIRES].
57. M. Roth and A. Denner, High-energy approximation of one-loop Feynman integrals, Nucl. Phys. B 479 (1996) 495 [hep-ph/9605420] [SPIRES].
58. A. Lazopoulos, K. Melnikov and F. Petriello, QCD corrections to tri-boson production, Phys. Rev. D 76 (2007) 014001 [hep-ph/0703273] [SPIRES].
59. C. Anastasiou, S. Beerli and A. Daleo, Evaluating multi-loop Feynman diagrams with infrared and threshold singularities numerically, JHEP 05 (2007) 071 [hep-ph/0703282] [SPIRES].
60. J.A.M. Vermaseren, New features of FORM, math-ph/0010025 [SPIRES].
61. Maple12, Maplesoft Inc., Waterloo Canada.
62. B.H. Smith and M.B. Voloshin, Normalization of QCD corrections in top quark decay, Phys. Lett. B 340 (1994) 176 [hep-ph/9405204] [SPIRES].
63. G. Pas sarino and M.J.G. Veltman, One loop corrections for e+e- annihilation into μ+μ- in the Weinberg model, Nucl. Phys. B 160 (1979) 151 [SPIRES].
64. F.V. Tkachov, A theorem on analytical calculability of four loop renormalization group functions, Phys. Lett. B 100 (1981) 65 [SPIRES].
65. K.G. Chetyrkin and F.V. Tkachov, Integration by parts: the algorithm to calculate beta functions in 4 loops, Nucl. Phys. B 192 (1981) 159 [SPIRES].
66. G.P. Lepage, Vegas: an adaptive multidimensional integration program, Cornell preprint CLNS-80/447 (1980).
67. T. Hahn, CUBA: a library for multidimensional numerical integration, Comput. Phys. Commun. 168 (2005) 78 [hep-ph/0404043] [SPIRES].
68. S.A. Larin, The renormalization of the axial anomaly in dimensional regularization, Phys. Lett. B 303 (1993) 113 [hep-ph/9302240] [SPIRES].
69. S.J. Brodsky, G.P. Lepage and P.B. Mackenzie, On the elimination of scale ambiguities in perturbative quantum chromodynamics, Phys. Rev. D 28 (1983) 228 [SPIRES].
70. I.I.Y. Bigi, M.A. Shifman, N. Uraltsev and A.I. Vainshtein, High power n of mb in beauty widths and N = 5 → infinity limit, Phys. Rev. D 56 (1997) 4017 [hep-ph/9704245] [SPIRES].
71. N. Uraltsev, BLM-resummation and OPE in heavy flavor transitions, Nucl. Phys. B 491 (1997) 303 [hep-ph/9610425] [SPIRES].
72. A. Czarnecki, K. Melnikov and N. Uraltsev, Non-abelian dipole radiation and the heavy quark expansion, Phys. Rev. Lett. 80 (1998) 3189 [hep-ph/9708372] [SPIRES].
73. D. Benson, I.I. Bigi, T. Mannel and N. Uraltsev, Imprecated, yet impeccable: on the theoretical evaluation of lesil;(B → Xclν), Nucl. Phys. B 665 (2003) 367 [hep-ph/0302262] [SPIRES].