- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review D

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

B- and D-meson decay constants from three-flavor lattice QCD

A. Bazavov1, C. Bernard2, C. M. Bouchard3,4,5, C. DeTar6, M. Di Pierro7, A. X. El-Khadra3, R. T. Evans3, E. D. Freeland3,8, E. Gámiz4,9 et al. (Fermilab Lattice and MILC Collaborations)

E. Gámiz4,9, Steven Gottlieb10, U. M. Heller11, J. E. Hetrick12, R. Jain3, A. S. Kronfeld4, J. Laiho13, L. Levkova6, P. B. Mackenzie4, E. T. Neil4, M. B. Oktay6, J. N. Simone4, R. Sugar14, D. Toussaint15, and R. S. Van de Water1,* (Fermilab Lattice and MILC Collaborations)

  • 1Physics Department, Brookhaven National Laboratory, Upton, New York, USA
  • 2Department of Physics, Washington University, St. Louis, Missouri, USA
  • 3Physics Department, University of Illinois, Urbana, Illinois, USA
  • 4Fermi National Accelerator Laboratory, Batavia, Illinois, USA
  • 5Department of Physics, The Ohio State University, Columbus, Ohio, USA
  • 6Physics Department, University of Utah, Salt Lake City, Utah, USA
  • 7School of Computing, DePaul University, Chicago, Illinois, USA
  • 8Department of Physics, Benedictine University, Lisle, Illinois, 60532, USA
  • 9CAFPE and Departamento de Física Teórica y del Cosmos, Universidad de Granada, Granada, Spain
  • 10Department of Physics, Indiana University, Bloomington, Indiana, USA
  • 11American Physical Society, Ridge, New York, USA
  • 12Physics Department, University of the Pacific, Stockton, California, USA
  • 13SUPA, School of Physics and Astronomy, University of Glasgow, Glasgow, United Kingdom
  • 14Department of Physics, University of California, Santa Barbara, California, USA
  • 15Department of Physics, University of Arizona, Tucson, Arizona, USA

  • *ruthv@bnl.gov
PDF

Phys. Rev. D 85, 114506 – Published 8 June, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.114506

Abstract

We calculate the leptonic decay constants of B(s) and D(s) mesons in lattice QCD using staggered light quarks and Fermilab bottom and charm quarks. We compute the heavy-light-meson correlation functions on the MILC Asqtad-improved staggered gauge configurations, which include the effects of three light dynamical sea quarks. We simulate with several values of the light valence- and sea-quark masses (down to ∼ms/10) and at three lattice spacings (a≈0.15, 0.12, and 0.09 fm) and extrapolate to the physical up and down quark masses and the continuum using expressions derived in heavy-light-meson staggered chiral perturbation theory. We renormalize the heavy-light axial current using a mostly nonperturbative method such that only a small correction to unity must be computed in lattice perturbation theory, and higher-order terms are expected to be small. We use the two finer lattice spacings for our central analysis, and we use the third to help estimate discretization errors. We obtain fB+=196.9(9.1)  MeV, fBs=242.0(10.0)  MeV, fD+=218.9(11.3)  MeV, fDs=260.1(10.8)  MeV, and the SU(3) flavor-breaking ratios fBs/fB=1.229(26) and fDs/fD=1.188(25), where the numbers in parentheses are the total statistical and systematic uncertainties added in quadrature.

View figure in article

Article Text

References (113)

  1. M. Bona M. Ciuchini, E. Franco, V. Lubicz, G. Martinelli, F. Parodi, M. Pierini, C. Schiavi, L. Silvestrini, V. Sordini, A. Stocchi, C. Tarantino, and V. Vagnoni (UTfit Collaboration), Phys. Lett. B 687, 61 (2010).
  2. A. Lenz, U. Nierste, J. Charles, S. Descotes-Genon, A. Jantsch, C. Kaufhold, H. Lacker, S. Monteil, V. Niess, and S. T’Jampens (CKMfitter Group), Phys. Rev. D 83, 036004 (2011).
  3. E. Lunghi and A. Soni, Phys. Lett. B 697, 323 (2011).
  4. J. Laiho, E. Lunghi, and R. Van de Water, Proc. Sci., FPCP2010 (2010) 040 [arXiv:1102.3917].
  5. K. Hara et al. (Belle Collaboration), Phys. Rev. D 82, 071101 (2010).
  6. P. del Amo Sanchez et al. (BABAR Collaboration), in Proceedings of the 35th International Conference on High Energy Physics, ICHEP, Paris, 2010 [arXiv:1008.0104].
  7. M. Masuzawa, in Proceedings of IPAC, Kyoto, 2010, edited by K. Oide, http://accelconf.web.cern.ch/accelconf/IPAC10/papers/frxbmh01.pdf.
  8. T. Iijima, Search for Charged Higgs in B→τν and D→τν Decays, http://kds.kek.jp/materialDisplay.py?contribId=5&sessionId=2&materialId=slides&confId=2865 (2009).
  9. B. O’Leary et al. (SuperB Collaboration), arXiv:1008.1541.
  10. M. E. Biagini et al. (SuperB Collaboration), arXiv:1009.6178.
  11. E. Lunghi and A. Soni, Phys. Rev. Lett. 104, 251802 (2010).
  12. C. T. H. Davies et al. (HPQCD, UKQCD, MILC, and Fermilab Lattice Collaborations), Phys. Rev. Lett. 92, 022001 (2004).
  13. L. Susskind, Phys. Rev. D 16, 3031 (1977).
  14. H. S. Sharatchandra, H. J. Thun, and P. Weisz, Nucl. Phys. B192, 205 (1981).
  15. C. Aubin, C. Bernard, C. DeTar, J. Osborn, S. Gottlieb, E. B. Gregory, D. Toussaint, U. M. Heller, J. E. Hetrick, and R. Sugar (MILC Collaboration), Phys. Rev. D 70, 114501 (2004).
  16. I. F. Allison C. T. H. Davies, A. Gray, A. S. Kronfeld, P. B. Mackenzie, and J. N. Simone (HPQCD, Fermilab Lattice, and UKQCD Collaborations), Phys. Rev. Lett. 94, 172001 (2005).
  17. S. Prelovšek, Phys. Rev. D 73, 014506 (2006).
  18. C. Bernard, Phys. Rev. D 73, 114503 (2006).
  19. C. Bernard, C. E. DeTar, Z. Fu, and S. Prelovšek, Phys. Rev. D 76, 094504 (2007).
  20. C. Aubin, J. Laiho, and R. S. Van de Water, Phys. Rev. D 77, 114501 (2008).
  21. C. Bernard, M. Golterman, and Y. Shamir, Phys. Rev. D 73, 114511 (2006).
  22. Y. Shamir, Phys. Rev. D 71, 034509 (2005).
  23. Y. Shamir, Phys. Rev. D 75, 054503 (2007).
  24. C. Bernard, M. Golterman, and Y. Shamir, Phys. Rev. D 77, 074505 (2008).
  25. W.-J. Lee and S. R. Sharpe, Phys. Rev. D 60, 114503 (1999).
  26. C. Aubin and C. Bernard, Phys. Rev. D 68, 034014 (2003).
  27. S. R. Sharpe and R. S. Van de Water, Phys. Rev. D 71, 114505 (2005).
  28. S. R. Sharpe, Proc. Sci., LAT2006 (2006) 022 [arXiv:hep-lat/0610094].
  29. A. S. Kronfeld, Proc. Sci., LAT2007 (2007) 016 [arXiv:0711.0699].
  30. M. Golterman, Proc. Sci., CONFINEMENT8 (2008) 014 [arXiv:0812.3110].
  31. A. Bazavov, D. Toussaint, C. Bernard, J. Laiho, C. DeTar, L. Levkova, M. B. Oktay, S. Gottlieb, U. M. Heller, J. E. Hetrick, P. B. Mackenzie, R. Sugar, and R. S. Van de Water, Rev. Mod. Phys. 82, 1349 (2010).
  32. G. C. Donald, C. T. H. Davies, E. Follana, and A. S. Kronfeld, Phys. Rev. D 84, 054504 (2011).
  33. J. Laiho, E. Lunghi, and R. S. Van de Water, Phys. Rev. D 81, 034503 (2010).
  34. C. W. Bernard, T. Burch, K. Orginos, D. Toussaint, T. A. DeGrand, C. DeTar, S. Datta, S. Gottlieb, U. M. Heller, and R. Sugar, Phys. Rev. D 64, 054506 (2001).
  35. B. Sheikholeslami and R. Wohlert, Nucl. Phys. B259, 572 (1985).
  36. A. X. El-Khadra, A. S. Kronfeld, and P. B. Mackenzie, Phys. Rev. D 55, 3933 (1997).
  37. K. Symanzik, Nucl. Phys. B226, 187 (1983).
  38. K. Symanzik, Nucl. Phys. B226, 205 (1983).
  39. A. S. Kronfeld, Phys. Rev. D 62, 014505 (2000).
  40. J. Harada, S. Hashimoto, K.-I. Ishikawa, A. S. Kronfeld, T. Onogi, and N. Yamada, Phys. Rev. D 65, 094513 (2002); 71, 019903(E) (2005).
  41. J. Harada, S. Hashimoto, A. S. Kronfeld, and T. Onogi, Phys. Rev. D 65, 094514 (2002).
  42. C. Aubin and C. Bernard, Phys. Rev. D 73, 014515 (2006).
  43. J. Laiho and R. S. Van de Water, Phys. Rev. D 73, 054501 (2006).
  44. C. Aubin and C. Bernard, Phys. Rev. D 76, 014002 (2007).
  45. A. X. El-Khadra, A. S. Kronfeld, P. B. Mackenzie, S. M. Ryan, and J. N. Simone, Phys. Rev. D 64, 014502 (2001).
  46. A. X. El-Khadra, E. Gámiz, A. S. Kronfeld, and M. A. Nobes, Proc. Sci., LAT2007 (2007) 242 [arXiv:0710.1437].
  47. C. Aubin et al. (Fermilab Lattice, MILC, and HPQCD Collaborations), Phys. Rev. Lett. 95, 122002 (2005).
  48. C. Bernard et al. (Fermilab Lattice and MILC Collaborations), Proc. Sci., LAT2006 (2006) 094.
  49. C. Bernard, B. Billeter, C. DeTar, L. Levkova, S. Gottlieb, U. M. Heller, J. E. Hetrick, J. Osborn, D. B. Renner, D. Toussaint, and R. Sugar (Fermilab Lattice and MILC Collaborations), Proc. Sci., LAT2007 (2007) 310.
  50. C. Bernard, C. DeTar, M. Di Pierro, A. X. El-Khadra, R. T. Evans, E. D. Freeland, E. Gamiz, S. Gottlieb, U. M. Heller, J. E. Hetrick, A. S. Kronfeld, J. Laiho, L. Levkova, P. B. Mackenzie, J. Simone, R. Sugar, D. Toussaint, and R. S. Van de Water (Fermilab Lattice and MILC Collaborations), Proc. Sci., LATTICE2008 (2008) 278 [arXiv:0904.1895].
  51. A. Bazavov, C. Bernard, C. DeTar, E. D. Freeland, E. Gamiz, S. Gottlieb, U. M. Heller, J. E. Hetrick, A. X. El-Khadra, A. S. Kronfeld, J. Laiho, L. Levkova, P. B. Mackenzie, M. B. Oktay, M. Di Pierro, J. N. Simone, R. Sugar, D. Toussaint, and R. S. Van de Water (Fermilab Lattice and MILC Collaborations), Proc. Sci., LAT2009 (2009) 249 [arXiv:0912.5221].
  52. J. Simone et al. (Fermilab Lattice and MILC Collaborations), Proc. Sci., LATTICE2010 (2010) 317.
  53. J. L. Rosner and S. Stone, in Ref. [54], arXiv:1002.1655.
  54. K. Nakamura et al. (Particle Data Group), J. Phys. G 37, 075021 (2010), and 2011 partial update for the 2012 edition.
  55. C. Aubin, C. Bernard, C. DeTar, M. DiPierro, A. El-Khadra, S. Gottlieb, E. B. Gregory, U. M. Heller, J. Hetrick, A. S. Kronfeld, P. B. Mackenzie, D. Menscher, M. Nobes, M. Okamoto, M. B. Oktay, J. Osborn, J. Simone, R. Sugar, D. Toussaint, and H. D. Trottier (Fermilab Lattice, MILC, and HPQCD Collaborations), Phys. Rev. Lett. 94, 011601 (2005).
  56. C. Bernard, C. DeTar, M. Di Pierro, A. X. El-Khadra, R. T. Evans, E. D. Freeland, E. Gamiz, S. Gottlieb, U. M. Heller, J. E. Hetrick, A. S. Kronfeld, J. Laiho, L. Levkova, P. B. Mackenzie, M. Okamoto, J. Simone, R. Sugar, D. Toussaint, and R. S. Van de Water (Fermilab Lattice and MILC Collaborations), Phys. Rev. D 79, 014506 (2009).
  57. J. A. Bailey, C. Bernard, C. DeTar, M. Di Pierro, A. X. El-Khadra, R. T. Evans, E. D. Freeland, E. Gamiz, S. Gottlieb, U. M. Heller, J. E. Hetrick, A. S. Kronfeld, J. Laiho, L. Levkova, P. B. Mackenzie, M. Okamoto, J. N. Simone, R. Sugar, D. Toussaint, and R. S. Van de Water (Fermilab Lattice and MILC Collaborations), Phys. Rev. D 79, 054507 (2009).
  58. C. Bernard, C. DeTar, M. Di Pierro, A. X. El-Khadra, R. T. Evans, E. D. Freeland, E. Gámiz, S. Gottlieb, U. M. Heller, J. E. Hetrick, A. S. Kronfeld, J. Laiho, L. Levkova, P. B. Mackenzie, J. N. Simone, R. Sugar, D. Toussaint, and R. S. Van de Water (Fermilab Lattice and MILC Collaborations), Phys. Rev. D 83, 034503 (2011).
  59. G. P. Lepage, Phys. Rev. D 59, 074502 (1999).
  60. M. Lüscher and P. Weisz, Phys. Lett. 158B, 250 (1985).
  61. Z. Hao, G. M. von Hippel, R. R. Horgan, Q. J. Mason, and H. D. Trottier, Phys. Rev. D 76, 034507 (2007).
  62. K. G. Wilson, in Quarks and Strings on a Lattice, edited by A. Zichichi (Plenum, New York, 1975), p. 69.
  63. M. B. Oktay and A. S. Kronfeld, Phys. Rev. D 78, 014504 (2008).
  64. H.-W. Lin and N. Christ, Phys. Rev. D 76, 074506 (2007).
  65. G. P. Lepage, L. Magnea, C. Nakhleh, U. Magnea, and K. Hornbostel, Phys. Rev. D 46, 4052 (1992).
  66. R. Sommer, Nucl. Phys. B411, 839 (1994).
  67. C. W. Bernard, T. Burch, K. Orginos, D. Toussaint, T. A. DeGrand, C. DeTar, S. Gottlieb, U. M. Heller, J. E. Hetrick, and R. Sugar, Phys. Rev. D 62, 034503 (2000).
  68. C. R. Allton, arXiv:hep-lat/9610016.
  69. A. Bazavov, W. Freeman, D. Touissaint, C. Bernard, X. Du, J. Laiho, C. DeTar, L. Levkova, M. B. Oktay, S. Gottlieb, U. M. Heller, J. E. Hetrick, J. Osborn, R. Sugar, and R. S. Van de Water (MILC Collaboration), Proc. Sci., CD09 (2009) 007 [arXiv:0910.2966].
  70. C. T. H. Davies, E. Follana, I. D. Kendall, G. P. Lepage, and C. McNeile (HPQCD Collaboration), Phys. Rev. D 81, 034506 (2010).
  71. G. P. Lepage, B. Clark, C. T. H. Davies, K. Hornbostel, P. B. Mackenzie, C. Morningstar, and H. Trottier, Nucl. Phys. B, Proc. Suppl. 106-107, 12 (2002).
  72. C. Morningstar, Nucl. Phys. B, Proc. Suppl. 109, 185 (2002).
  73. A. S. Kronfeld, Nucl. Phys. B, Proc. Suppl. 53, 401 (1997).
  74. N. Kawamoto and J. Smit, Nucl. Phys. B 192, 100 (1981).
  75. J. L. Richardson, Phys. Lett. 82B, 272 (1979).
  76. D. P. Menscher, Ph.D. thesis, 2005.
  77. M. Wingate, J. Shigemitsu, C. T. H. Davies, G. P. Lepage, and H. D. Trottier, Phys. Rev. D 67, 054505 (2003).
  78. M. D. Pierro and E. Eichten, Phys. Rev. D 64, 114004 (2001).
  79. G. P. Lepage and P. B. Mackenzie, Phys. Rev. D 48, 2250 (1993).
  80. Q. Mason, H. D. Trottier, C. T. H. Davies, K. Foley, A. Gray, G. P. Lepage, M. Nobes, and J. Shigemitsu (HPQCD Collaboration), Phys. Rev. Lett. 95, 052002 (2005).
  81. K. Hornbostel, G. P. Lepage, and C. Morningstar, Phys. Rev. D 67, 034023 (2003).
  82. D. Arndt and C. J. D. Lin, Phys. Rev. D 70, 014503 (2004).
  83. C. Bernard (MILC Collaboration), Phys. Rev. D 65, 054031 (2002).
  84. A. S. Kronfeld and S. M. Ryan, Phys. Lett. B 543, 59 (2002).
  85. C. G. Boyd and B. Grinstein, Nucl. Phys. B442, 205 (1995).
  86. I. W. Stewart, Nucl. Phys. B529, 62 (1998).
  87. D. Bećirević, S. Prelovšek, and J. Zupan, Phys. Rev. D 68, 074003 (2003).
  88. C. Bernard, C. DeTar, S. Gottlieb, U. M. Heller, J. E. Hetrick, L. Levkova, J. Osborn, D. Renner, R. Sugar, and D. Toussaint (MILC Collaboration), Proc. Sci., LATTICE2007 (2007) 090 [arXiv:0710.1118].
  89. R. Casalbuoni, A. Deandrea, N. Di Bartolomeo, R. Gatto, F. Feruglio, and G. Nardulli, Phys. Rep. 281, 145 (1997).
  90. A. Anastassov et al. (CLEO Collaboration), Phys. Rev. D 65, 032003 (2002).
  91. A. Abada, D. Bećirević, Ph. Boucaud, G. Herdoiza, J. P. Leroy, A. Le Yaouanc, O. Pène, and J. Rodriguez-Quintero, Nucl. Phys. B, Proc. Suppl. 119, 641 (2003).
  92. M. C. Arnesen, B. Grinstein, I. Z. Rothstein, and I. W. Stewart, Phys. Rev. Lett. 95, 071802 (2005).
  93. H. Ohki, H. Matsufuru, and T. Onogi, Phys. Rev. D 77, 094509 (2008).
  94. J. Bulava, M. A. Donnellan, and R. Sommer (ALPHA Collaboration), Proc. Sci., LATTICE2010 (2010) 303 [arXiv:1011.4393].
  95. C. Aubin, C. Bernard, C. T. H. Davies, C. DeTar, S. A. Gottlieb, A. Gray, E. B. Gregory, J. Hein, U. M. Heller, J. E. Hetrick, G. P. Lepage, Q. Mason, J. Osborn, J. Shigemitsu, R. Sugar, D. Toussaint, H. Trottier, and M. Wingate (HPQCD Collaboration), Phys. Rev. D 70, 031504 (2004).
  96. C. Bernard, S. Datta, T. DeGrand, C. DeTar, S. Gottlieb, U. M. Heller, C. McNeile, K. Orginos, R. Sugar, and D. Toussaint (MILC Collaboration), Phys. Rev. D 66, 094501 (2002).
  97. G. P. Lepage, in From Actions to Answers. Proceedings, Theoretical Advanced Study Institute in Elementary Particle Physics, edited by T. A. DeGrand and D. Toussaint (World Scientific, Singapore, 1989).
  98. A. Bazavov, C. Bernard, C. DeTar, X. Du, W. Freeman, S. Gottlieb, U. M. Heller, J. E. Hetrick, J. Laiho, L. Levkova, M. B. Oktay, J. Osborn, R. Sugar, D. Toussaint, and R. S. Van de Water (MILC Collaboration), Proc. Sci., LATTICE2010 (2010) 074 [arXiv:1012.0868].
  99. C. T. H. Davies, C. McNeile, E. Follana, G. P. Lepage, H. Na, and J. Shigemitsu (HPQCD Collaboration), Phys. Rev. D 82, 114504 (2010).
  100. P. Dimopoulos, R. Frezzotti, G. Herdoiza, V. Lubicz, C. Michael, D. Palao, G. C. Rossi, F. Sanfilippo, A. Shindler, S. Simula, C. Tarantino, and M. Wagner (ETM Collaboration), J. High Energy Phys. 01 (2012) 046.
  101. B. I. Eisenstein et al. (CLEO Collaboration), Phys. Rev. D 78, 052003 (2008).
  102. J. P. Alexander et al. (CLEO Collaboration), Phys. Rev. D 79, 052001 (2009).
  103. L. Widhalm et al. (Belle Collaboration), Phys. Rev. Lett. 100, 241801 (2008).
  104. P. Naik et al. (CLEO Collaboration), Phys. Rev. D 80, 112004 (2009).
  105. P. U. E. Onyisi et al. (CLEO Collaboration), Phys. Rev. D 79, 052002 (2009).
  106. J. P. Lees et al. (BABAR Collaboration), Phys. Rev. D 82, 091103 (2010).
  107. D. Asner et al. (Heavy Flavor Averaging Group), Averages of b-hadron, c-hadron, and τ-lepton Properties, arXiv:1010.1589, http://www.slac.stanford.edu/xorg/hfag/charm/CHARM10/f_ds/results_20jan11.html, with future updates at http://www.slac.stanford.edu/xorg/hfag/charm/.
  108. E. Gámiz, C. T. H. Davies, G. P. Lepage, J. Shigemitsu, and M. Wingate (HPQCD Collaboration), Phys. Rev. D 80, 014503 (2009).
  109. C. McNeile, C. T. H. Davies, E. Follana, K. Hornbostel, and G. P. Lepage (HPQCD Collaboration), Phys. Rev. D 85, 031503 (2012).
  110. C. Albertus, Y. Aoki, P. A. Boyle, N. H. Christ, T. T. Dumitrescu, J. M. Flynn, T. Ishikawa, T. Izubuchi, O. Loktik, C. T. Sachrajda, A. Soni, R. S. Van de Water, J. Wennekers, and O. Witzel (RBC Collaboration and UKQCD Collaboration), Phys. Rev. D 82, 014505 (2010).
  111. A. Bazavov, C. Bernard, C. DeTar, W. Freeman, S. Gottlieb, U. M. Heller, J. E. Hetrick, J. Laiho, L. Levkova, M. Oktay, J. Osborn, R. L. Sugar, D. Toussaint, and R. S. Van de Water (MILC Collaboration), Proc. Sci., LATTICE2010 (2010) 320 [arXiv:1012.1265].
  112. E. Follana, C. T. H. Davies, G. P. Lepage, and J. Shigemitsu (HPQCD Collaboration), Phys. Rev. Lett. 100, 062002 (2008).
  113. B. P. G. Mertens, A. S. Kronfeld, and A. X. El-Khadra, Phys. Rev. D 58, 034505 (1998).

Outline

Information

Phys. Rev. D 85, 114506– Published 8 June, 2012
  • Received 18 January 2012
Article part of CHORUS

© 2012 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation