A NUMERICAL STUDY OF IMPROVED WILSON QUARK ACTIONS ON ANISOTROPIC LATTICES

2007 ◽  
Vol 22 (07n10) ◽  
pp. 515-528
Author(s):  
LIUMING LIU ◽  
SHIQUAN SU ◽  
XIN LI ◽  
CHUAN LIU
Keyword(s):  
Quark Mass ◽  
Numerical Study ◽  
Charm Quark ◽  
Gauge Coupling ◽  
Speed Of Light ◽  
Lattice Action ◽  
Charm Quark Mass ◽  
Anisotropic Lattices ◽  
Optimal Value ◽  
Pseudo Scalar

Tadpole improved Wilson quark actions with clover terms on anisotropic lattices are studied numerically. Using asymmetric lattice volumes, the pseudo-scalar meson dispersion relations are measured for 8 lowest lattice momentum modes with quark mass values ranging from the strange to the charm quark with various values of the gauge coupling β and 3 different values of the bare speed of light parameter ν. These results can be utilized to extrapolate or interpolate to obtain the optimal value for the bare speed of light parameter νopt(m) at a given gauge coupling for all bare quark mass values m. In particular, the optimal values of ν at the physical strange and charm quark mass are given for various gauge couplings. The lattice action with these optimized parameters can then be used to study physical properties of hadrons involving either light or heavy quarks.

scholarly journals A NUMERICAL STUDY OF IMPROVED QUARK ACTIONS ON ANISOTROPIC LATTICES

2006 ◽  
Vol 21 (05) ◽  
pp. 1015-1032 ◽  
Author(s):  
SHIQUAN SU ◽  
LIUMING LIU ◽  
XIN LI ◽  
CHUAN LIU
Keyword(s):  
Quark Mass ◽  
Numerical Study ◽  
Charm Quark ◽  
Gauge Coupling ◽  
Speed Of Light ◽  
Lattice Action ◽  
Charm Quark Mass ◽  
Anisotropic Lattices ◽  
Optimal Value ◽  
Optimal Values

Tadpole improved Wilson quark actions with clover terms on anisotropic lattices are studied numerically. Using asymmetric lattice volumes, the pseudoscalar meson dispersion relations are measured for eight lowest lattice momentum modes with quark mass values ranging from the strange to the charm quark with various values of the gauge coupling β and three different values of the bare speed of light parameter ν. These results can be utilized to extrapolate or interpolate to obtain the optimal value for the bare speed of light parameter ν opt (m) at a given gauge coupling for all bare quark mass values m. In particular, the optimal values of ν at the physical strange and charm quark mass are given for various gauge couplings. The lattice action with these optimized parameters can then be used to study physical properties of hadrons involving either light or heavy quarks.

scholarly journals Determination of the charm quark mass in lattice QCD with 2 + 1 flavours on fine lattices

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Jochen Heitger ◽  
Fabian Joswig ◽  
Simon Kuberski
Keyword(s):  
Lattice Qcd ◽  
Quark Mass ◽  
Charm Quark ◽  
Renormalisation Group ◽  
Tree Level ◽  
Lattice Action ◽  
Group Invariant ◽  
Quark Masses ◽  
Charm Quark Mass

Abstract We present a determination of the charm quark mass in lattice QCD with three active quark flavours. The calculation is based on PCAC masses extracted from Nf = 2 + 1 flavour gauge field ensembles at five different lattice spacings in a range from 0.087 fm down to 0.039 fm. The lattice action consists of the O(a) improved Wilson-clover action and a tree-level improved Symanzik gauge action. Quark masses are non-perturbatively O(a) improved employing the Symanzik-counterterms available for this discretisation of QCD. To relate the bare mass at a specified low-energy scale with the renormalisation group invariant mass in the continuum limit, we use the non-pertubatively known factors that account for the running of the quark masses as well as for their renormalisation at hadronic scales. We obtain the renormalisation group invariant charm quark mass at the physical point of the three-flavour theory to be Mc = 1486(21) MeV. Combining this result with five-loop perturbation theory and the corresponding decoupling relations in the $$ \overline{\mathrm{MS}} $$ MS ¯ scheme, one arrives at a result for the renormalisation group invariant charm quark mass in the four-flavour theory of Mc(Nf = 4) = 1548(23) MeV, where effects associated with the absence of a charmed, sea quark in the non-perturbative evaluation of the QCD path integral are not accounted for. In the $$ \overline{\mathrm{MS}} $$ MS ¯ scheme, and at finite energy scales conventional in phenomenology, we quote $$ {m}_{\mathrm{c}}^{\overline{\mathrm{MS}}} $$ m c MS ¯ ($$ {m}_{\mathrm{c}}^{\overline{\mathrm{MS}}} $$ m c MS ¯ ; Nf = 4) = 1296(19) MeV and $$ {m}_{\mathrm{c}}^{\overline{\mathrm{MS}}} $$ m c MS ¯ (3 GeV; Nf = 4) = 1007(16) MeV for the renormalised charm quark mass.

scholarly journals TUNING THE TADPOLE IMPROVED CLOVER WILSON ACTION ON COARSE ANISOTROPIC LATTICES

2001 ◽  
Vol 16 (28) ◽  
pp. 1841-1847 ◽  
Author(s):  
JUNHUA ZHANG ◽  
CHUAN LIU
Keyword(s):  
Vector Meson ◽  
Quark Mass ◽  
Mass Parameter ◽  
Gauge Coupling ◽  
Dispersion Relations ◽  
Velocity Of Light ◽  
Anisotropic Lattices ◽  
Pseudo Scalar

Wilson quark action, with tadpole improved clover term added, is studied on coarse anisotropic lattices. The bare velocity of light parameter in this action is determined nonperturbatively using the pseudo-scalar and vector meson dispersion relations for various values of the gauge coupling β and bare quark mass parameter κ.

scholarly journals Effect of the charm quark mass on the BFKL total cross section at LEP

2000 ◽  
Vol 492 (1-2) ◽  
pp. 56-62 ◽  
Author(s):  
Jochen Bartels ◽  
Carlo Ewerz ◽  
René Staritzbichler
Keyword(s):  
Total Cross Section ◽  
Cross Section ◽  
Quark Mass ◽  
Charm Quark ◽  
Charm Quark Mass

scholarly journals Heavy Domain Wall Fermions: The RBC and UKQCD charm physics program

2018 ◽  
Vol 175 ◽  
pp. 13013
Author(s):  
Peter A Boyle ◽  
Luigi Del Debbio ◽  
Andreas Jüttner ◽  
Ava Khamseh ◽  
Justus Tobias Tsang ◽  
...  
Keyword(s):  
Domain Wall ◽  
Quark Mass ◽  
Pion Mass ◽  
Charm Quark ◽  
Charm Physics ◽  
Decay Constants ◽  
Domain Wall Fermions ◽  
Charm Quark Mass ◽  
Physics Program ◽  
Set Up

We review the domain wall charm physics program of the RBC and UKQCD collaborations based on simulations including ensembles with physical pion mass. We summarise our current set-up and present a status update on the decay constants fD, fDs, the charm quark mass, heavy-light and heavy-strange bag parameters and the ratio ξ

scholarly journals Charm quark mass dependence of QCD corrections to nonleptonic inclusive B decays

1994 ◽  
Vol 432 (1-2) ◽  
pp. 3-38 ◽  
Author(s):  
E. Bagan ◽  
Patricia Ball ◽  
V.M. Braun ◽  
P. Gosdzinsky
Keyword(s):  
Quark Mass ◽  
Charm Quark ◽  
Mass Dependence ◽  
B Decays ◽  
Charm Quark Mass ◽  
Inclusive B Decays ◽  
Quark Mass Dependence

scholarly journals Running of the charm-quark mass from HERA deep-inelastic scattering data

2017 ◽  
Vol 775 ◽  
pp. 233-238 ◽  
Author(s):  
A. Gizhko ◽  
A. Geiser ◽  
S. Moch ◽  
I. Abt ◽  
O. Behnke ◽  
...  
Keyword(s):  
Inelastic Scattering ◽  
Deep Inelastic Scattering ◽  
Quark Mass ◽  
Charm Quark ◽  
Scattering Data ◽  
Charm Quark Mass ◽  
Deep Inelastic Scattering Data

scholarly journals Charm quark mass

2002 ◽  
Vol 524 (1-2) ◽  
pp. 115-122 ◽  
Author(s):  
D. Bećirević ◽  
V. Lubicz ◽  
G. Martinelli
Keyword(s):  
Quark Mass ◽  
Charm Quark ◽  
Charm Quark Mass

scholarly journals Charm-quark mass effects in NRQCD matching coefficients and the leptonic decay of the ϒ(1S) meson

2021 ◽  
Vol 104 (5) ◽  
Author(s):  
Manuel Egner ◽  
Matteo Fael ◽  
Jan Piclum ◽  
Kay Schönwald ◽  
Matthias Steinhauser
Keyword(s):  
Quark Mass ◽  
Charm Quark ◽  
Leptonic Decay ◽  
Mass Effects ◽  
Charm Quark Mass

scholarly journals Decoupling of charm beyond leading order

2018 ◽  
Vol 175 ◽  
pp. 10001 ◽  
Author(s):  
Francesco Knechtli ◽  
Tomasz Korzec ◽  
Björn Leder ◽  
Graham Moir
Keyword(s):  
Quark Mass ◽  
Charm Quark ◽  
Direct Access ◽  
Effective Theory ◽  
Leading Order ◽  
Charm Quarks ◽  
Charm Quark Mass ◽  
Power Corrections ◽  
Low Energies ◽  
Pure Gauge Theory

We study the effective theory of decoupling of a charm quark at low energies. We do this by simulating a model, QCD with two mass-degenerate charm quarks. At leading order the effective theory is a pure gauge theory. By computing ratios of hadronic scales we have direct access to the power corrections in the effective theory. We show that these corrections follow the expected leading behavior, which is quadratic in the inverse charm quark mass.

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