Abstract
We report on a non-perturbative determination of the parameters of the lattice Heavy Quark Effective Theory (HQET) Lagrangian and of the time component of the heavy-light axial-vector current with N f = 2 flavors of massless dynamical quarks. The effective theory is considered at the 1/m h order, and the heavy mass m h covers a range from slightly above the charm to beyond the beauty region. These HQET parameters are needed to compute, for example, the b-quark mass, the heavy-light spectrum and decay constants in the static approximation and to order 1/m h in HQET. The determination of the parameters is done non-perturbatively. The computation reported in this paper uses the plaquette gauge action and two different static actions for the heavy quark described by HQET. For the light-quark action we choose non-perturbatively O(a)-improved Wilson fermions.
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References
V. Niess, Global fit to CKM data, PoS(EPS-HEP2011)184 [INSPIRE].
B. Thacker and G.P. Lepage, Heavy quark bound states in lattice QCD, Phys. Rev. D 43 (1991) 196 [INSPIRE].
G.P. Lepage, L. Magnea, C. Nakhleh, U. Magnea and K. Hornbostel, Improved nonrelativistic QCD for heavy quark physics, Phys. Rev. D 46 (1992) 4052 [hep-lat/9205007] [INSPIRE].
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] [INSPIRE].
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] [INSPIRE].
S. Aoki, Y. Kuramashi and S.-I. Tominaga, Relativistic heavy quarks on the lattice, Prog. Theor. Phys. 109 (2003) 383 [hep-lat/0107009] [INSPIRE].
N.H. Christ, M. Li and H.-W. Lin, Relativistic heavy quark effective action, Phys. Rev. D 76 (2007) 074505 [hep-lat/0608006] [INSPIRE].
ETM collaboration, B. Blossier et al., A proposal for B-physics on current lattices, JHEP 04 (2010) 049 [arXiv:0909.3187] [INSPIRE].
C. Davies, Standard model heavy flavor physics on the lattice, PoS(LATTICE 2011)019 [arXiv:1203.3862] [INSPIRE].
E. Eichten, Heavy quarks on the lattice, Nucl. Phys. Proc. Suppl. 4 (1988) 170 [INSPIRE].
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 [INSPIRE].
ALPHA collaboration, J. Heitger and R. Sommer, Nonperturbative heavy quark effective theory, JHEP 02 (2004) 022 [hep-lat/0310035] [INSPIRE].
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] [INSPIRE].
B. Blossier, M. della Morte, N. Garron and R. Sommer, HQET at order 1/m: I. Non-perturbative parameters in the quenched approximation, JHEP 06 (2010) 002 [arXiv:1001.4783] [INSPIRE].
B. Blossier, M. della Morte, N. Garron and R. Sommer, HQET at order 1/m: I. Non-perturbative parameters in the quenched approximation, JHEP 06 (2010) 002 [arXiv:1001.4783] [INSPIRE].
Alpha collaboration, B. Blossier et al., HQET at order 1/m: II. Spectroscopy in the quenched approximation, JHEP 05 (2010) 074 [arXiv:1004.2661] [INSPIRE].
ALPHA collaboration, B. Blossier et al., HQET at order 1/m: III. Decay constants in the quenched approximation, JHEP 12 (2010) 039 [arXiv:1006.5816] [INSPIRE].
R. Sommer, Introduction to non-perturbative heavy quark effective theory, arXiv:1008.0710 [INSPIRE].
B. Blossier et al., M b and f B from non-perturbatively renormalized HQET with N f = 2 light quarks, PoS(LATTICE 2011)280 [arXiv:1112.6175] [INSPIRE].
ALPHA collaboration, K. Jansen and R. Sommer, O(α) improvement of lattice QCD with two flavors of Wilson quarks, Nucl. Phys. B 530 (1998) 185 [Erratum ibid. B 643 (2002) 517] [hep-lat/9803017] [INSPIRE].
ALPHA collaboration, J. Heitger and J. Wennekers, Effective heavy light meson energies in small volume quenched QCD, JHEP 02 (2004) 064 [hep-lat/0312016] [INSPIRE].
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] [INSPIRE].
M. Della Morte, A. Shindler and R. Sommer, On lattice actions for static quarks, JHEP 08 (2005) 051 [hep-lat/0506008] [INSPIRE].
A. Grimbach, D. Guazzini, F. Knechtli and F. Palombi, O(a) improvement of the HYP static axial and vector currents at one-loop order of perturbation theory, JHEP 03 (2008) 039 [arXiv:0802.0862] [INSPIRE].
ALPHA collaboration, B. Blossier et al., B meson spectrum and decay constant from N f = 2 simulations, PoS(LATTICE 2010)308 [arXiv:1012.1357] [INSPIRE].
S. Bekavac et al., Matching QCD and HQET heavy-light currents at three loops, Nucl. Phys. B 833 (2010) 46 [arXiv:0911.3356] [INSPIRE].
ALPHA collaboration, N. Garron, B-meson physics from non-perturbative lattice heavy quark effective theory, PoS(ICHEP 2010)201 [arXiv:1102.0090] [INSPIRE].
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] [INSPIRE].
S. Sint, On the Schrödinger functional in QCD, Nucl. Phys. B 421 (1994) 135 [hep-lat/9312079] [INSPIRE].
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] [INSPIRE].
ALPHA collaboration, M. Della Morte et al., Computation of the strong coupling in QCD with two dynamical flavors, Nucl. Phys. B 713 (2005) 378 [hep-lat/0411025] [INSPIRE].
M. Marinkovic, S. Schaefer, R. Sommer and F. Virotta, Strange quark mass and Λ parameter by the ALPHA collaboration, PoS(LATTICE 2011)232 [arXiv:1112.4163] [INSPIRE].
M. Lüscher and P. Weisz, O(a) improvement of the axial current in lattice QCD to one loop order of perturbation theory, Nucl. Phys. B 479 (1996) 429 [hep-lat/9606016] [INSPIRE].
M. Della Morte, R. Hoffmann and R. Sommer, Non-perturbative improvement of the axial current for dynamical Wilson fermions, JHEP 03 (2005) 029 [hep-lat/0503003] [INSPIRE].
P. Fritzsch, J. Heitger and N. Tantalo, Non-perturbative improvement of quark mass renormalization in two-flavour lattice QCD, JHEP 08 (2010) 074 [arXiv:1004.3978] [INSPIRE].
M. Della Morte, R. Sommer and S. Takeda, On cutoff effects in lattice QCD from short to long distances, Phys. Lett. B 672 (2009) 407 [arXiv:0807.1120] [INSPIRE].
ALPHA collaboration, M. Della Morte et al., Non-perturbative quark mass renormalization in two-flavor QCD, Nucl. Phys. B 729 (2005) 117 [hep-lat/0507035] [INSPIRE].
ALPHA collaboration, A. Bode, P. Weisz and U. Wolff, Two loop computation of the Schrödinger functional in lattice QCD, Nucl. Phys. B 576 (2000) 517 [Erratum ibid. B 600 (2001) 453] [Erratum ibid. B 608 (2001) 481] [hep-lat/9911018] [INSPIRE].
ALPHA collaboration, M. Della Morte et al., Scaling test of two-flavor O(a)-improved lattice QCD, JHEP 07 (2008) 037 [arXiv:0804.3383] [INSPIRE].
H.B. Meyer et al., Exploring the HMC trajectory-length dependence of autocorrelation times in lattice QCD, Comput. Phys. Commun. 176 (2007) 91 [hep-lat/0606004] [INSPIRE].
J. Sexton and D. Weingarten, Hamiltonian evolution for the hybrid Monte Carlo algorithm, Nucl. Phys. B 380 (1992) 665 [INSPIRE].
M. Hasenbusch, Speeding up the hybrid Monte Carlo algorithm for dynamical fermions, Phys. Lett. B 519 (2001) 177 [hep-lat/0107019] [INSPIRE].
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ArXiv ePrint: 1203.6516
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Blossier, B., Della Morte, M., Fritzsch, P. et al. Parameters of heavy quark effective theory from N f = 2 lattice QCD. J. High Energ. Phys. 2012, 132 (2012). https://doi.org/10.1007/JHEP09(2012)132
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DOI: https://doi.org/10.1007/JHEP09(2012)132