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A proposal for B-physics on current lattices

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  • Published: 12 April 2010
  • Volume 2010, article number 49, (2010)
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Journal of High Energy Physics Aims and scope Submit manuscript
A proposal for B-physics on current lattices
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  • ETM collaboration,
  • B. Blossier1,
  • P. Dimopoulos2,3,
  • R. Frezzotti2,3,
  • G. Herdoiza4,
  • K. Jansen4,
  • V. Lubicz5,6,
  • G. Martinelli7,
  • C. Michael8,
  • G. C. Rossi2,3,
  • A. Shindler8,
  • S. Simula6,
  • C. Tarantino5,6 &
  • …
  • C. Urbach8,9 

  • 571 Accesses

  • 46 Citations

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Abstract

A method to extract B-physics parameters (b-quark mass and f B , \( {f_{{B_s}}} \) decay constants) from currently available lattice data is presented and tested. The approach is based on the idea of constructing appropriate ratios of heavy-light meson masses and decay constants, respectively, possessing a precisely known static limit, and evaluating them at various pairs of heavy quark masses around the charm. Via a smooth interpolation in the heavy quark mass from the easily accessible charm region to the asymptotic point, B-physics parameters are computed with a few percent (statistical + systematic) error using recently produced N f = 2 maximally twisted Wilson fermions data.

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References

  1. Particle Data Group, C. Amsler et al., Review of particle physics, Phys. Lett. B 667 (2008) 1 [SPIRES].

    ADS  Google Scholar 

  2. http://www.utfit.org/.

  3. http://www.slac.stanford.edu/xorg/ckmfitter/.

  4. K. Jansen, Lattice QCD: a critical status report, PoS(LATTICE 2008)010 [arXiv:0810.5634] [SPIRES].

  5. A.S. Kronfeld, The weight of the world is quantum chromodynamics, Science 322 (2008) 1198 [SPIRES].

    Article  Google Scholar 

  6. S. Dürr et al., Ab-initio determination of light hadron masses, Science 322 (2008) 1224 [arXiv:0906.3599] [SPIRES].

    Article  ADS  Google Scholar 

  7. E. Eichten and B.R. Hill, An effective field theory for the calculation of matrix elements involving heavy quarks, Phys. Lett. B 234 (1990) 511 [SPIRES].

    ADS  Google Scholar 

  8. H. Georgi, An effective field theory for heavy quarks at low-energies, Phys. Lett. B 240 (1990) 447 [SPIRES].

    ADS  Google Scholar 

  9. N. Isgur and M.B. Wise, Weak decays of heavy mesons in the static quark approximation, Phys. Lett. B 232 (1989) 113 [SPIRES].

    ADS  Google Scholar 

  10. N. Isgur and M.B. Wise, Weak transition form-factors between heavy mesons, Phys. Lett. B 237 (1990) 527 [SPIRES].

    ADS  Google Scholar 

  11. G.S. Bali, QCD forces and heavy quark bound states, Phys. Rept. 343 (2001) 1 [hep-ph/0001312] [SPIRES].

    Article  MATH  ADS  Google Scholar 

  12. M. Neubert, Heavy quark symmetry, Phys. Rept. 245 (1994) 259 [hep-ph/9306320] [SPIRES].

    Article  ADS  Google Scholar 

  13. ALPHA collaboration, J. Heitger and R. Sommer, Non-perturbative heavy quark effective theory, JHEP 02 (2004) 022 [hep-lat/0310035] [SPIRES].

    Article  ADS  Google Scholar 

  14. ALPHA collaboration, J. Heitger et al., Non-perturbative tests of heavy quark effective theory, JHEP 11 (2004) 048 [hep-ph/0407227] [SPIRES].

    Article  ADS  Google Scholar 

  15. R. Sommer, Non-perturbative QCD: renormalization, O(a)-improvement and matching to heavy quark effective theory, hep-lat/0611020 [SPIRES].

  16. ALPHA collaboration, M. Della Morte et al., Lattice HQET with exponentially improved statistical precision, Phys. Lett. B 581 (2004) 93 [Erratum ibid. B 612 (2005) 313] [hep-lat/0307021] [SPIRES].

    ADS  Google Scholar 

  17. M. Della Morte, N. Garron, M. Papinutto and R. Sommer, Heavy quark effective theory computation of the mass of the bottom quark, JHEP 01 (2007) 007 [hep-ph/0609294] [SPIRES].

    Article  ADS  Google Scholar 

  18. M. Della Morte et al., Heavy-strange meson decay constants in the continuum limit of quenched QCD, JHEP 02 (2008) 078 [arXiv:0710.2201] [SPIRES].

    Google Scholar 

  19. M. Guagnelli, F. Palombi, R. Petronzio and N. Tantalo, f B and two scales problems in lattice QCD, Phys. Lett. B 546 (2002) 237 [hep-lat/0206023] [SPIRES].

    ADS  Google Scholar 

  20. G.M. de Divitiis, M. Guagnelli, R. Petronzio, N. Tantalo and F. Palombi, Heavy quark masses in the continuum limit of quenched Lattice QCD, Nucl. Phys. B 675 (2003) 309 [hep-lat/0305018] [SPIRES].

    Article  ADS  Google Scholar 

  21. G.M. de Divitiis, M. Guagnelli, F. Palombi, R. Petronzio and N. Tantalo, Heavy-light decay constants in the continuum limit of lattice QCD, Nucl. Phys. B 672 (2003) 372 [hep-lat/0307005] [SPIRES].

    Article  ADS  Google Scholar 

  22. D. Guazzini, R. Sommer and N. Tantalo, Precision for B-meson matrix elements, JHEP 01 (2008) 076 [arXiv:0710.2229] [SPIRES].

    Article  ADS  Google Scholar 

  23. A.X. El-Khadra, A.S. Kronfeld and P.B. Mackenzie, Massive fermions in lattice gauge theory, Phys. Rev. D 55 (1997) 3933 [hep-lat/9604004] [SPIRES].

    ADS  Google Scholar 

  24. S. Aoki, Y. Kuramashi and S.-i. Tominaga, Relativistic heavy quarks on the lattice, Prog. Theor. Phys. 109 (2003) 383 [hep-lat/0107009] [SPIRES].

    Article  MATH  ADS  Google Scholar 

  25. N.H. Christ, M. Li and H.-W. Lin, Relativistic heavy quark effective action, Phys. Rev. D 76 (2007) 074505 [hep-lat/0608006] [SPIRES].

    ADS  Google Scholar 

  26. M.B. Oktay and A.S. Kronfeld, New lattice action for heavy quarks, Phys. Rev. D 78 (2008) 014504 [arXiv:0803.0523] [SPIRES].

    ADS  Google Scholar 

  27. E. Gamiz, Heavy flavour phenomenology from lattice QCD, PoS(LATTICE 2008)014 [arXiv:0811.4146] [SPIRES].

  28. ETM collaboration, P. Boucaud et al., Dynamical twisted mass fermions with light quarks, Phys. Lett. B 650 (2007) 304 [hep-lat/0701012] [SPIRES].

    ADS  Google Scholar 

  29. ETM collaboration, P. Boucaud et al., Dynamical twisted mass fermions with light quarks: simulation and analysis details, Comput. Phys. Commun. 179 (2008) 695 [arXiv:0803.0224] [SPIRES].

    Article  ADS  Google Scholar 

  30. European Twisted Mass collaboration, B. Blossier et al., Light quark masses and pseudoscalar decay constants from N f = 2 lattice QCD with twisted mass fermions, JHEP 04 (2008) 020 [arXiv:0709.4574] [SPIRES].

    Google Scholar 

  31. B. Blossier et al., Pseudoscalar decay constants of kaon and D-mesons from Nf=2 twisted mass Lattice QCD, JHEP 07 (2009) 043 [arXiv:0904.0954] [SPIRES].

    Google Scholar 

  32. Alpha collaboration, R. Frezzotti, P.A. Grassi, S. Sint and P. Weisz, Lattice QCD with a chirally twisted mass term, JHEP 08 (2001) 058 [hep-lat/0101001] [SPIRES].

    Google Scholar 

  33. ALPHA collaboration, R. Frezzotti, S. Sint and P. Weisz, O(a) improved twisted mass lattice QCD, JHEP 07 (2001) 048 [hep-lat/0104014] [SPIRES].

    Article  ADS  Google Scholar 

  34. ALPHA collaboration, M. Della Morte, R. Frezzotti, J. Heitger and S. Sint, Cutoff effects in twisted mass lattice QCD, JHEP 10 (2001) 041 [hep-lat/0108019] [SPIRES].

    Google Scholar 

  35. A. Shindler, Twisted mass lattice QCD, Phys. Rept. 461 (2008) 37 [arXiv:0707.4093] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  36. V. Giménez, L. Giusti, G. Martinelli and F. Rapuano, NNLO unquenched calculation of the b quark mass, JHEP 03 (2000) 018 [hep-lat/0002007] [SPIRES].

    Article  ADS  Google Scholar 

  37. F. Di Renzo and L. Scorzato, The N f = 2 residual mass in perturbative lattice-HQET for an improved determination of the m b (MS − bar)(m b (MS − bar)), JHEP 11 (2004) 036 [hep-lat/0408015] [SPIRES].

    Article  Google Scholar 

  38. UKQCD collaboration, C. McNeile, C. Michael and G. Thompson, An unquenched lattice QCD calculation of the mass of the bottom quark, Phys. Lett. B 600 (2004) 77 [hep-lat/0408025] [SPIRES].

    ADS  Google Scholar 

  39. A. Gray et al., The Upsilon spectrum and m b from full lattice QCD, Phys. Rev. D 72 (2005) 094507 [hep-lat/0507013] [SPIRES].

    ADS  Google Scholar 

  40. HPQCD collaboration, A. Gray et al., The B meson decay constant from unquenched lattice QCD, Phys. Rev. Lett. 95 (2005) 212001 [hep-lat/0507015] [SPIRES].

    Article  ADS  Google Scholar 

  41. HPQCD collaboration, E. Gamiz, C.T.H. Davies, G.P. Lepage, J. Shigemitsu and M. Wingate, Neutral B meson mixing in unquenched lattice QCD, Phys. Rev. D 80 (2009) 014503 [arXiv:0902.1815] [SPIRES].

    ADS  Google Scholar 

  42. C. Bernard et al., B and D meson decay constants, PoS(LATTICE2008)278 [arXiv:0904.1895] [SPIRES].

  43. R. Frezzotti and G.C. Rossi, Chirally improving Wilson fermions. II: four-quark operators, JHEP 10 (2004) 070 [hep-lat/0407002] [SPIRES].

    Article  ADS  Google Scholar 

  44. K.G. Chetyrkin, Quark mass anomalous dimension to O(α s 4), Phys. Lett. B 404 (1997) 161 [hep-ph/9703278] [SPIRES].

    ADS  Google Scholar 

  45. J.A.M. Vermaseren, S.A. Larin and T. van Ritbergen, The 4-loop quark mass anomalous dimension and the invariant quark mass, Phys. Lett. B 405 (1997) 327 [hep-ph/9703284] [SPIRES].

    ADS  Google Scholar 

  46. K.G. Chetyrkin and A. Retey, Renormalization and running of quark mass and field in the regularization invariant and MS-bar schemes at three and four loops, Nucl. Phys. B 583 (2000) 3 [hep-ph/9910332] [SPIRES].

    Article  ADS  Google Scholar 

  47. N. Gray, D.J. Broadhurst, W. Grafe and K. Schilcher, Three loop relation of quark (modified) MS and pole masses, Z. Phys. C 48 (1990) 673 [SPIRES].

    ADS  Google Scholar 

  48. D.J. Broadhurst, N. Gray and K. Schilcher, Gauge invariant on-shell Z 2 in QED, QCD and the effective field theory of a static quark, Z. Phys. C 52 (1991) 111 [SPIRES].

    MathSciNet  ADS  Google Scholar 

  49. K.G. Chetyrkin and M. Steinhauser, Short distance mass of a heavy quark at order α s 3, Phys. Rev. Lett. 83 (1999) 4001 [hep-ph/9907509] [SPIRES].

    Article  ADS  Google Scholar 

  50. K. Melnikov and T.v. Ritbergen, The three-loop relation between the MS-bar and the pole quark masses, Phys. Lett. B 482 (2000) 99 [hep-ph/9912391] [SPIRES].

    ADS  Google Scholar 

  51. ETM collaboration, P. Dimopoulos et al., Scaling and low energy constants in lattice QCD with N f = 2 maximally twisted Wilson quarks, PoS(LATTICE 2007)102.

  52. ETM collaboration, R. Baron et al., Light meson physics from maximally twisted mass lattice QCD, arXiv:0911.5061 [SPIRES].

  53. ETM collaboration, P. Dimopoulos et al., Scaling and chiral extrapolation of pion mass and decay constant with maximally twisted mass QCD, PoS(LATTICE 2008)103 [arXiv:0810.2873] [SPIRES].

  54. ETM collaboration, P. Dimopoulos et al., Light meson physics in the continuum limit N f = 2 Mtm lattice QCD, in preparation.

  55. ETM collaboration, B-physics on current lattices: analysis details and physical results from N f = 2 Mtm QCD, in preparation.

  56. J. Gasser and H. Leutwyler, Quark masses, Phys. Rept. 87 (1982) 77 [SPIRES].

    Article  ADS  Google Scholar 

  57. J. Gasser and H. Leutwyler, Chiral perturbation theory to one loop, Ann. Phys. 158 (1984) 142 [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  58. J. Gasser and H. Leutwyler, Chiral perturbation theory: expansions in the mass of the strange quark, Nucl. Phys. B 250 (1985) 465 [SPIRES].

    Article  ADS  Google Scholar 

  59. ALPHA collaboration, S. Capitani, M. Lüscher, R. Sommer and H. Wittig, Non-perturbative quark mass renormalization in quenched lattice QCD, Nucl. Phys. B 544 (1999) 669 [hep-lat/9810063] [SPIRES].

    Article  ADS  Google Scholar 

  60. G. Martinelli and C.T. Sachrajda, On the difficulty of computing higher-twist corrections, Nucl. Phys. B 478 (1996) 660 [hep-ph/9605336] [SPIRES].

    Article  ADS  Google Scholar 

  61. ALPHA collaboration, J. Rolf and S. Sint, A precise determination of the charm quark’s mass in quenched QCD, JHEP 12 (2002) 007 [hep-ph/0209255] [SPIRES].

    Article  ADS  Google Scholar 

  62. M. Della Morte, N. Garron, M. Papinutto and R. Sommer, Heavy quark effective theory computation of the mass of the bottom quark, JHEP 01 (2007) 007 [hep-ph/0609294] [SPIRES].

    Article  ADS  Google Scholar 

  63. K.G. Chetyrkin et al., Charm and bottom quark masses: an update, Phys. Rev. D 80 (2009) 074010 [arXiv:0907.2110] [SPIRES].

    ADS  Google Scholar 

  64. K.G. Chetyrkin and A.G. Grozin, Three-loop anomalous dimension of the heavy-light quark current in HQET, Nucl. Phys. B 666 (2003) 289 [hep-ph/0303113] [SPIRES].

    Article  ADS  Google Scholar 

  65. ETM collaboration, Quark mass from N f = 2 Mtm lattice QCD, in preparation.

  66. CLEO collaboration, J.P. Alexander et al., Measurement of BD s + → ℓ + ν and the decay constant fD s + from 600/pb −1 of e ± annihilation data near 4170 MeV, Phys. Rev. D 79 (2009) 052001 [arXiv:0901.1216] [SPIRES].

    ADS  Google Scholar 

  67. D. Becirevic et al., Non-perturbatively improved heavy-light mesons: masses and decay constants, Phys. Rev. D 60 (1999) 074501 [hep-lat/9811003] [SPIRES].

    ADS  Google Scholar 

  68. R. Frezzotti and G.C. Rossi, Chirally improving Wilson fermions. I: o(a) improvement, JHEP 08 (2004) 007 [hep-lat/0306014] [SPIRES].

    Article  ADS  Google Scholar 

  69. J.L. Goity, Chiral perturbation theory for SU(3) breaking in heavy meson systems, Phys. Rev. D 46 (1992) 3929 [hep-ph/9206230] [SPIRES].

    ADS  Google Scholar 

  70. B. Grinstein, E.E. Jenkins, A.V. Manohar, M.J. Savage and M.B. Wise, Chiral perturbation theory for \( {{{f_{{D_s}}}} \mathord{\left/{\vphantom {{{f_{{D_s}}}} {{f_D}}}} \right.} {{f_D}}} \) and \( {{{B_{{B_s}}}} \mathord{\left/{\vphantom {{{B_{{B_s}}}} {{B_B}}}} \right.} {{B_B}}} \), Nucl. Phys. B 380 (1992) 369 [hep-ph/9204207] [SPIRES].

    Article  ADS  Google Scholar 

  71. S.R. Sharpe and Y. Zhang, Quenched chiral perturbation theory for heavy-light mesons, Phys. Rev. D 53 (1996) 5125 [hep-lat/9510037] [SPIRES].

    ADS  Google Scholar 

  72. A. Roessl, Pion kaon scattering near the threshold in chiral SU(2) perturbation theory, Nucl. Phys. B 555 (1999) 507 [hep-ph/9904230] [SPIRES].

    Article  ADS  Google Scholar 

  73. RBC-UKQCD collaboration, C. Allton et al., Physical results from 2 + 1 flavor domain wall QCD and SU(2) chiral perturbation theory, Phys. Rev. D 78 (2008) 114509 [arXiv:0804.0473] [SPIRES].

    ADS  Google Scholar 

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Authors and Affiliations

  1. Laboratoire de Physique Théorique (Bât. 210), Université de Paris XI, Centre d’Orsay, 91405, Orsay-Cedex, France

    B. Blossier

  2. Dip. di Fisica, Università di Roma Tor Vergata, Via della Ricerca Scientifica, I-00133, Roma, Italy

    P. Dimopoulos, R. Frezzotti & G. C. Rossi

  3. INFN, Sezione di Roma Tor Vergata, Via della Ricerca Scientifica, I-00133, Roma, Italy

    P. Dimopoulos, R. Frezzotti & G. C. Rossi

  4. NIC, DESY, Platanenallee 6, D-15738, Zeuthen, Germany

    G. Herdoiza & K. Jansen

  5. Dip. di Fisica, Università di Roma Tre, Via della Vasca Navale 84, I-00146, Roma, Italy

    V. Lubicz & C. Tarantino

  6. INFN, Sezione di Roma III, Via della Vasca Navale 84, I-00146, Roma, Italy

    V. Lubicz, S. Simula & C. Tarantino

  7. Dip. di Fisica, Università di Roma La Sapienza and INFN, Sez. di Roma La Sapienza, P.le A. Moro 5, I-00185, Roma, Italy

    G. Martinelli

  8. Theoretical Physics Division, Dept. of Mathematical Sciences, University of Liverpool, Liverpool, L69 7ZL, U.K.

    C. Michael, A. Shindler & C. Urbach

  9. Institut für Elementarteilchenphysik, Fachbereich Physik, Humbolt Universität zu Berlin, D-12489, Berlin, Germany

    C. Urbach

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ETM collaboration

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Correspondence to P. Dimopoulos.

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ArXiv ePrint: 0909.3187

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ETM collaboration., Blossier, B., Dimopoulos, P. et al. A proposal for B-physics on current lattices. J. High Energ. Phys. 2010, 49 (2010). https://doi.org/10.1007/JHEP04(2010)049

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  • Received: 02 October 2009

  • Revised: 05 March 2010

  • Accepted: 18 March 2010

  • Published: 12 April 2010

  • DOI: https://doi.org/10.1007/JHEP04(2010)049

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Keywords

  • Lattice QCD
  • Quark Masses and SM Parameters
  • B-Physics
  • Heavy Quark Physics
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