Non-perturbative tests of heavy quark effective theory

Journal of High Energy Physics

Volumn 8, Issue 11, 2004, Pages 1273-1300

  Heitger, Jochen ^a   Jüttner, Andreas ^b   Sommer, Rainer ^c,d   Wennekers, Jan ^d  

^a UNIVERSITY OF MÜNSTER   (Germany)

^b HUMBOLDT UNIVERSITY   (Germany)

^c CERN   (Switzerland)

^d DESY   (Germany)

Author keywords

B Physics; Heavy Quarks Physics; Lattice QCD; Phenomenological Models

Indexed keywords

EID: 23044454933     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/11/048     Document Type: Article

References (69)

1. E. Eichten and B. Hill, An effective field theory for the calculation of matrix elements involving heavy quarks, Phys. Lett. B 234 (1990) 511.
2. H.D. Politzer and M.B. Wise, Effective field theory approach to processes involving both light and heavy fields, Phys. Lett. B 208 (1988) 504.
3. H. Georgi, An effective field theory for heavy quarks at low-energies, Phys. Lett. B 240 (1990) 447.
4. M. Neubert, Heavy quark symmetry, Phys. Kept. 245 (1994) 259 [hep-ph/9306320].
5. T. Mannel, Effective theory for heavy quarks, lectures at 35th Internationale Universitätswochen für Kern- und Teilchenphysik, Schladming, Austria, 2-9 March 1996 [hep-ph/9606299].
6. B. Grinstein, The static quark effective theory, Nucl. Phys. B 339 (1990) 253.
7. W. Kilian and T. Mannel, On the renormalization of heavy quark effective field theory, Phys. Rev. D 49 (1994) 1534 [hep-ph/9307307].
8. A.G. Grozin, Lectures on perturbative HQET, I, hep-ph/0008300.
9. 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].
10. PARTICLE DATA GROUP collaboration, K. Hagiwara et al., Review of particle physics, Phys. Rev. D 66 (2002) 010001.
11. S. Stone, Experimental results in heavy flavor physics, plenary talk at International Europhysics Conference on High-Energy Physics (HEP 2003), Aachen, Germany, 17 - 23 July 2003,
12. Eur. Phys. J. C 33 (2004) S129 [hep-ph/0310153].
13. M. Battaglia et al., The CKM matrix and the unitarity triangle, Proceedings of the CKM Unitarity Triangle Workshop, Geneva, Switzerland, 13 - 16 February 2002 [hep-ph/0304132].
14. cb| from hadronic mass and lepton energy moments, Phys. Rev. Lett. 93 (2004) 011803 [hep-ex/0404017].
15. ALPHA collaboration, M. Kurth and R. Sommer, Heavy quark effective theory at one-loop order: an explicit example, Nucl. Phys. B 623 (2002) 271 [hep-lat/0108018].
16. C. Bernard et al., Lattice results for the decay constant of heavy-light vector mesons, Phys. Rev. D 65 (2002) 014510 [hep-lat/0109015].
17. ALPHA collaboration, J. Rolf and S. Sint, A precise determination of the charm quark's mass in quenched QCD, J. High Energy Phys. 12 (2002) 007 [hep-ph/0209255].
18. s-meson in quenched QCD, Phys. Lett. B 560 (2003) 59 [hep-lat/0302016].
19. s, in quenched QCD, Nucl. Phys. 129 (Proc. Suppl.) (2004) 322 [hep-lat/0309072].
20. C. Alexandrou et al., The leptonic decay constants of Q̄q mesons and the lattice resolution, Z. Physik C 62 (1994) 659 [hep-lat/9312051].
21. R. Sommer, Beauty physics in lattice gauge theory, Phys. Rept. 275 (1996) 1 [hep-lat/9401037].
22. H. Wittig, Leptonic decays of heavy quarks on the lattice, Int. J. Mod. Phys. A 12 (1997) 4477 [hep-lat/9705034].
23. A.X. El-Khadra, A.S. Kronfeld, P.B. Mackenzie, S.M. Ryan and J.N. Simone, B and D meson decay constants in lattice QCD, Phys. Rev. D 58 (1998) 014506 [hep-ph/9711426].
24. JLQCD collaboration, S. Aoki et al., Heavy meson decay constants from quenched lattice QCD, Phys. Rev. Lett. 80 (1998) 5711.
25. C.W. Bernard et al., Lattice determination of heavy-light decay constants, Phys. Rev. Lett. 81 (1998) 4812 [hep-ph/9806412].
26. D. Becirevic et al., Non-perturbatively improved heavy-light mesons: masses and decay constants, Phys. Rev. D 60 (1999) 074501 [hep-lat/9811003].
27. UKQCD collaboration, K.C. Bowler et al., Decay constants of B and D mesons from non-perturbatively improved lattice QCD, Nucl. Phys. B 619 (2001) 507 [hep-lat/0007020].
28. CP-PACS collaboration, A. Ali Khan et al., Decay constants of B and D mesons from improved relativistic lattice QCD with two flavours of sea quarks, Phys. Rev. D 64 (2001) 034505 [hep-lat/0010009].
29. UKQCD collaboration, L. Lellouch and C.J.D. Lin, Standard Model matrix elements for neutral B meson mixing and associated decay constants, Phys. Rev. D 64 (2001) 094501 [hep-ph/0011086].
30. S.M. Ryan, Heavy quark physics from lattice QCD, Nucl. Phys. 106 (Proc. Suppl.) (2002) 86 [hep-lat/0111010].
31. G.M. de Divitiis, M. Guagnelli, R. Petronzio, N. Tantalo and F. Palombi, Heavy quark masses in the continuum limit of lattice QCD, Nucl. Phys. B 675 (2003) 309 [hep-lat/0305018].
32. 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].
33. M. Lüscher, R. Narayanan, P. Weisz and U. Wolff, The Schrödinger functional: a renormalizable probe for non-abelian gauge theories, Nucl. Phys. B 384 (1992) 168 [hep-lat/9207009].
34. S. Sint, On the Schrödinger functional in QCD, Nucl. Phys. B 421 (1994) 135 [hep-lat/9312079].
35. ALPHA collaboration, J. Heitger and R. Sommer, A strategy to compute the B quark mass with non-perturbative accuracy, Nucl. Phys. 106 (Proc. Suppl.) (2002) 358 [hep-lat/0110016].
36. ALPHA collaboration, J. Heitger and J. Wennekers, Effective heavy-light meson energies in small-volume quenched QCD, J. High Energy Phys. 02 (2004) 064 [hep-lat/0312016].
37. ALPHA collaboration, J. Heitger and R. Sommer, Non-perturbative heavy quark effective theory, J. High Energy Phys. 02 (2004) 022 [hep-lat/0310035].
38. ALPHA collaboration, M. Kurth and R. Sommer, Renormalization and O(a) improvement of the static axial current, Nucl. Phys. B 597 (2001) 488 [hep-lat/0007002].
39. S. Sint, One-loop renormalization of the QCD Schrödinger functional, Nucl. Phys. B 451 (1995) 416 [hep-lat/9504005].
40. ALPHA collaboration, J. Heitger, M. Kurth and R. Sommer, Non-perturbative renormalization of the static axial current in quenched QCD, Nucl. Phys. B 669 (2003) 173 [hep-lat/0302019].
41. ALPHA collaboration, M. Lüscher, S. Sint, R. Sommer, P. Weisz and U. Wolff, Non-perturbative O(a) improvement of lattice QCD, Nucl. Phys. B 491 (1997) 323 [hep-lat/9609035].
42. 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].
43. P in O(a) improved lattice QCD, Nucl. Phys. B 595 (2001) 44 [hep-lat/0009021].
44. T. van Ritbergen, J.A.M. Vermaseren and S.A. Larin, The four-loop beta function in Quantum Chromodynamics, Phys. Lett. B 400 (1997) 379 [hep-ph/9701390].
45. A.F. Falk and M. Neubert, Second-order power corrections in the heavy quark effective theory, 1. Formalism and meson form-factors, Phys. Rev. D 47 (1993) 2965 [hep-ph/9209268].
46. 4), Phys. Lett. B 404 (1997) 161 [hep-ph/9703278].
47. J.A.M. Vermaseren, S.A. Larin and T. van Ritbergen, The four-loop quark mass anomalous dimension and the invariant quark mass, Phys. Lett. B 405 (1997) 327 [hep-ph/9703284].
48. N. Gray, D.J. Broadhurst, W. Grafe and K. Schilcher, Three-loop relation of quark (modified) MS̄ and pole masses, Z. Physik C 48 (1990) 673.
49. M.E. Luke and A.V. Manohar, Reparametrization invariance constraints on heavy particle effective field theories, Phys. Lett. B 286 (1992) 348 [hep-ph/9205228].
50. W. Kilian and T. Ohl, Renormalization of heavy quark effective field theory: quantum action principles and equations of motion, Phys. Rev. D 50 (1994) 4649 [hep-ph/9404305].
51. R. Sundrum, Reparameterization invariance to all orders in heavy quark effective theory, Phys. Rev. D 57 (1998) 331 [hep-ph/9704256].
52. G. Amoros, M. Beneke and M. Neubert, Two-loop anomalous dimension of the chromomagnetic moment of a heavy quark, Phys. Lett. B 401 (1997) 81 [hep-ph/9701375].
53. A. Czarnecki and A.G. Grozin, HQET chromomagnetic interaction at two loops, Phys. Lett. B 405 (1997) 142 [hep-ph/9701415].
54. M. Lüscher, R. Sommer, P. Weisz and U. Wolff, A precise determination of the running coupling in the SU(3) Yang-Mills theory, Nucl. Phys. B 413 (1994) 481 [hep-lat/9309005].
55. N. Isgur and M.B. Wise, Weak decays of heavy mesons in the static quark approximation, Phys. Lett. B 232 (1989) 113.
56. N. Isgur and M.B. Wise, Weak transition form-factors between heavy mesons, Phys. Lett. B 237 (1990) 527.
57. ALPHA collaboration, M. Della Morte et al., Lattice HQET with exponentially improved statistical precision, Phys. Lett. B 581 (2004) 93 [hep-lat/0307021].
58. A. Hasenfratz and F. Knechtli, Flavor symmetry and the static potential with hypercubic blocking, Phys. Rev. D 64 (2001) 034504 [hep-lat/0103029].
59. D.J. Broadhurst and A.G. Grozin, Matching QCD and HQET heavy-light currents at two loops and beyond, Phys. Rev. D 52 (1995) 4082 [hep-ph/9410240].
60. http://www.physics.indiana.edu/~sg/milc.html.
61. 0 oscillations, Sov. J. Nucl. Phys. 45 (1987) 292.
62. H.D. Politzer and M.B. Wise, Leading logarithms of heavy quark masses in processes with light and heavy quarks, Phys. Lett. B 206 (1988) 681.
63. X.-D. Ji and M.J. Musolf, Subleading logarithmic mass dependence in heavy meson form-factors, Phys. Lett. B 257 (1991) 409.
64. D.J. Broadhurst and A.G. Grozin, Two-loop renormalization of the effective field theory of a static quark, Phys. Lett. B 267 (1991) 105 [hep-ph/9908362].
65. V. Gimenez, Two-loop calculation of the anomalous dimension of the axial current with static heavy quarks, Nucl. Phys. B 375 (1992) 582.
66. B for Wilson fermions, Phys. Lett. B 240 (1990) 193.
67. R. Tarrach, The pole mass in perturbative QCD, Nucl. Phys. B 183 (1981) 384.
68. E. Eichten and B. Hill, Static effective field theory: 1/m corrections, Phys. Lett. B 243 (1990) 427.
69. A.F. Falk, B. Grinstein and M.E. Luke, Leading mass corrections to the heavy quark effective theory, Nucl. Phys. B 357 (1991) 185.