Treating the b quark distribution function with reliable uncertainties

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 78, Issue 11, 2008, Pages

  Ligeti, Zoltan ^a   Stewart, Iain W ^b   Tackmann, Frank J ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 58149163137     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.78.114014     Document Type: Article

References (80)

1. M. Neubert, Phys. Rev. D 49, 3392 (1994); PRVDAQ 0556-2821 10.1103/PhysRevD.49.3392
2. M. Neubert Phys. Rev. D 49, 4623 (1994). PRVDAQ 0556-2821 10.1103/PhysRevD.49.4623
3. I.I.Y. Bigi, M.A. Shifman, N.G. Uraltsev, and A.I. Vainshtein, Int. J. Mod. Phys. A 9, 2467 (1994). IMPAEF 0217-751X 10.1142/S0217751X94000996
4. K.S.M. Lee, Z. Ligeti, I.W. Stewart, and F.J. Tackmann, Phys. Rev. D 74, 011501(R) (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.74.011501
5. K.S.M. Lee and I.W. Stewart, Phys. Rev. D 74, 014005 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.74.014005
6. M. Misiak, Phys. Rev. Lett. 98, 022002 (2007), and references therein. PRLTAO 0031-9007 10.1103/PhysRevLett.98.022002
7. S. Chen (CLEO Collaboration), Phys. Rev. Lett. 87, 251807 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.87.251807
8. K. Abe (Belle Collaboration), arXiv:0804.1580;
9. P. Koppenburg (Belle Collaboration), Phys. Rev. Lett. 93, 061803 (2004). PRLTAO 0031-9007 10.1103/PhysRevLett.93.061803
10. B. Aubert (BABAR Collaboration), Phys. Rev. D 77, 051103(R) (2008); PRVDAQ 0556-2821 10.1103/PhysRevD.77.051103
11. B. Aubert Phys. Rev. Lett. 97, 171803 (2006); PRLTAO 0031-9007 10.1103/PhysRevLett.97.171803
12. B. Aubert Phys. Rev. D 72, 052004 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.052004
13. B. Aubert (BABAR Collaboration), arXiv:hep-ex/0408068;
14. K. Tackmann (BABAR Collaboration), arXiv:0801.2985.
15. C.W. Bauer, Z. Ligeti, M. Luke, A.V. Manohar, and M. Trott, Phys. Rev. D 70, 094017 (2004); PRVDAQ 0556-2821 10.1103/PhysRevD.70.094017
16. C.W. Bauer, Z. Ligeti, M. Luke, and A.V. Manohar, Phys. Rev. D 67, 054012 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.054012
17. O. Buchmüller and H. Flächer, Phys. Rev. D 73, 073008 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.073008
18. E. Barberio (Heavy Flavor Averaging Group), arXiv:0704.3575, and updates at http://www.slac.stanford.edu/xorg/hfag/.
19. C. Balzereit, T. Mannel, and W. Kilian, Phys. Rev. D 58, 114029 (1998). PRVDAQ 0556-2821 10.1103/PhysRevD.58.114029
20. S.W. Bosch, B.O. Lange, M. Neubert, and G. Paz, Nucl. Phys. NUPBBO 0550-3213 B699, 335 (2004). 10.1016/j.nuclphysb.2004.07.041
21. A.K. Leibovich, I. Low, and I.Z. Rothstein, Phys. Rev. D 61, 053006 (2000). PRVDAQ 0556-2821 10.1103/PhysRevD.61.053006
22. A.K. Leibovich, I. Low, and I.Z. Rothstein, Phys. Lett. B 486, 86 (2000). PYLBAJ 0370-2693 10.1016/S0370-2693(00)00756-5
23. A.H. Hoang, Z. Ligeti, and M. Luke, Phys. Rev. D 71, 093007 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.093007
24. B.O. Lange, J. High Energy Phys. JHEPFG 1029-8479 01 (2006) 104. 10.1088/1126-6708/2006/01/104
25. C.W. Bauer, Z. Ligeti, and M.E. Luke, Phys. Lett. B 479, 395 (2000); PYLBAJ 0370-2693 10.1016/S0370-2693(00)00318-X
26. C.W. Bauer Z. Ligeti M.E. Luke Phys. Rev. D 64, 113004 (2001). PRVDAQ 0556-2821 10.1103/PhysRevD.64.113004
27. A.H. Hoang and I.W. Stewart, Phys. Lett. B 660, 483 (2008). PYLBAJ 0370-2693
28. C.W. Bauer and A.V. Manohar, Phys. Rev. D 70, 034024 (2004). PRVDAQ 0556-2821 10.1103/PhysRevD.70.034024
29. M. Neubert, Eur. Phys. J. C 40, 165 (2005). EPCFFB 1434-6044 10.1140/epjc/s2005-02141-1
30. T. Becher and M. Neubert, Phys. Rev. Lett. 98, 022003 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.022003
31. G.P. Korchemsky and G. Sterman, Phys. Lett. B 340, 96 (1994). PYLBAJ 0370-2693 10.1016/0370-2693(94)91304-8
32. C.W. Bauer, D. Pirjol, and I.W. Stewart, Phys. Rev. D 65, 054022 (2002). PRVDAQ 0556-2821 10.1103/PhysRevD.65.054022
33. T. Mannel and F.J. Tackmann, Phys. Rev. D 71, 034017 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.034017
34. F.J. Tackmann, Phys. Rev. D 72, 034036 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.034036
35. B.O. Lange, M. Neubert, and G. Paz, Phys. Rev. D 72, 073006 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.073006
36. W.M. Yao (Particle Data Group), J. Phys. G JPGPED 0954-3899 33, 1 (2006), and 2007 partial update for the 2008 edition. 10.1088/0954-3899/33/1/001
37. A.H. Hoang, Z. Ligeti, and A.V. Manohar, Phys. Rev. Lett. 82, 277 (1999); PRLTAO 0031-9007 10.1103/PhysRevLett.82.277
38. A.H. Hoang Z. Ligeti A.V. Manohar Phys. Rev. D 59, 074017 (1999); PRVDAQ 0556-2821 10.1103/PhysRevD.59.074017
39. A.H. Hoang and T. Teubner, Phys. Rev. D 60, 114027 (1999). PRVDAQ 0556-2821 10.1103/PhysRevD.60.114027
40. A. Czarnecki, K. Melnikov, and N. Uraltsev, Phys. Rev. Lett. 80, 3189 (1998); PRLTAO 0031-9007 10.1103/PhysRevLett.80.3189
41. A. Czarnecki K. Melnikov N. Uraltsev Phys. Rev. D 57, 1769 (1998); PRVDAQ 0556-2821 10.1103/PhysRevD.57.1769
42. the αs2β0 part of what later became λ1kin was first obtained in: A. Kapustin, Z. Ligeti, M.B. Wise, and B. Grinstein, Phys. Lett. B 375, 327 (1996). PYLBAJ 0370-2693 10.1016/0370-2693(96)00279-1
43. S. Fleming, A.H. Hoang, S. Mantry, and I.W. Stewart, Phys. Rev. D 77, 114003 (2008). PRVDAQ 0556-2821 10.1103/PhysRevD.77.114003
44. F. De Fazio and M. Neubert, J. High Energy Phys. JHEPFG 1029-8479 06 (1999) 017. 10.1088/1126-6708/1999/06/017
45. P. Gambino, P. Giordano, G. Ossola, and N. Uraltsev, J. High Energy Phys. JHEPFG 1029-8479 10 (2007) 058. 10.1088/1126-6708/2007/10/058
46. M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1964);
47. for other proposed expansions, see, e.g.: A.H. Hoang and R. Hofmann, Phys. Rev. D 67, 054024 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.054024
48. C.W. Bauer, M.E. Luke, and T. Mannel, Phys. Rev. D 68, 094001 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.68.094001
49. A.K. Leibovich, Z. Ligeti, and M.B. Wise, Phys. Lett. B 539, 242 (2002). PYLBAJ 0370-2693 10.1016/S0370-2693(02)02097-X
50. C.W. Bauer, M. Luke, and T. Mannel, Phys. Lett. B 543, 261 (2002). PYLBAJ 0370-2693 10.1016/S0370-2693(02)02444-9
51. K.S.M. Lee and I.W. Stewart, Nucl. Phys. NUPBBO 0550-3213 B721, 325 (2005). 10.1016/j.nuclphysb.2005.05.004
52. A. Kapustin, Z. Ligeti, and H.D. Politzer, Phys. Lett. B 357, 653 (1995). PYLBAJ 0370-2693 10.1016/0370-2693(95)00962-K
53. S.J. Lee, M. Neubert, and G. Paz, Phys. Rev. D 75, 114005 (2007). PRVDAQ 0556-2821 10.1103/PhysRevD.75.114005
54. K.S.M. Lee, Phys. Rev. D 78, 013002 (2008). PRVDAQ 0556-2821 10.1103/PhysRevD.78.013002
55. M. Beneke, F. Campanario, T. Mannel, and B.D. Pecjak, J. High Energy Phys. JHEPFG 1029-8479 06 (2005) 071. 10.1088/1126-6708/2005/06/071
56. M. Trott and A.R. Williamson, Phys. Rev. D 74, 034011 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.74.034011
57. J.R. Andersen and E. Gardi, J. High Energy Phys. JHEPFG 1029-8479 01 (2006) 097. 10.1088/1126-6708/2006/01/097
58. U. Aglietti, F. Di Lodovico, G. Ferrera, and G. Ricciardi, arXiv:0711.0860.
59. M. Neubert, Phys. Rev. D 72, 074025 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.074025
60. K.S.M. Lee, Z. Ligeti, I.W. Stewart, and F.J. Tackmann, Phys. Rev. D 75, 034016 (2007). PRVDAQ 0556-2821 10.1103/PhysRevD.75.034016
61. K.G. Chetyrkin, M. Misiak, and M. Münz, Phys. Lett. B 400, 206 (1997); PYLBAJ 0370-2693 10.1016/S0370-2693(97)00324-9
62. K.G. Chetyrkin M. Misiak M. Münz Phys. Lett. B 425, 414 (1998). PYLBAJ 0370-2693 10.1016/S0370-2693(98)00225-1
63. C.W. Bauer, S. Fleming, D. Pirjol, and I.W. Stewart, Phys. Rev. D 63, 114020 (2001). PRVDAQ 0556-2821 10.1103/PhysRevD.63.114020
64. I.R. Blokland, A. Czarnecki, M. Misiak, M. Slusarczyk, and F. Tkachov, Phys. Rev. D 72, 033014 (2005); PRVDAQ 0556-2821 10.1103/PhysRevD.72.033014
65. K. Melnikov and A. Mitov, Phys. Lett. B 620, 69 (2005). PYLBAJ 0370-2693 10.1016/j.physletb.2005.06.015
66. A. Ali, B.D. Pecjak, and C. Greub, Eur. Phys. J. C 55, 577 (2008). EPCFFB 1434-6044 10.1140/epjc/s10052-008-0623-5
67. T. Becher and M. Neubert, Phys. Lett. B 637, 251 (2006). PYLBAJ 0370-2693 10.1016/j.physletb.2006.04.046
68. T. Becher and M. Neubert, Phys. Lett. B 633, 739 (2006). PYLBAJ 0370-2693 10.1016/j.physletb.2006.01.006
69. G.P. Korchemsky and A.V. Radyushkin, Nucl. Phys. NUPBBO 0550-3213 B283, 342 (1987). 10.1016/0550-3213(87)90277-X
70. S. Moch, J.A.M. Vermaseren, and A. Vogt, Nucl. Phys. NUPBBO 0550-3213 B688, 101 (2004). 10.1016/j.nuclphysb.2004.03.030
71. G.P. Korchemsky and G. Marchesini, Nucl. Phys. NUPBBO 0550-3213 B406, 225 (1993). 10.1016/0550-3213(93)90167-N
72. E. Gardi, J. High Energy Phys. JHEPFG 1029-8479 02 (2005) 053. 10.1088/1126-6708/2005/02/053
73. A. Jain, I. Scimemi, and I.W. Stewart, Phys. Rev. D 77, 094008 (2008). PRVDAQ 0556-2821 10.1103/PhysRevD.77.094008
74. G. Martinelli, M. Neubert, and C.T. Sachrajda, Nucl. Phys. NUPBBO 0550-3213 B461, 238 (1996). 10.1016/0550-3213(95)00613-3
75. M. Neubert, Phys. Lett. B 393, 110 (1997). PYLBAJ 0370-2693 10.1016/S0370-2693(96)01600-0
76. M.E. Luke and A.V. Manohar, Phys. Lett. B 286, 348 (1992). PYLBAJ 0370-2693 10.1016/0370-2693(92)91786-9
77. M. Beneke, V.M. Braun, and V.I. Zakharov, Phys. Rev. Lett. 73, 3058 (1994); PRLTAO 0031-9007 10.1103/PhysRevLett.73.3058
78. M.E. Luke, A.V. Manohar, and M.J. Savage, Phys. Rev. D 51, 4924 (1995); PRVDAQ 0556-2821 10.1103/PhysRevD.51.4924
79. M. Neubert and C.T. Sachrajda, Nucl. Phys. NUPBBO 0550-3213 B438, 235 (1995). 10.1016/0550-3213(95)00032-N
80. I.I.Y. Bigi, M.A. Shifman, N.G. Uraltsev, and A.I. Vainshtein, Phys. Rev. D 52, 196 (1995). PRVDAQ 0556-2821 10.1103/PhysRevD.52.196