scholarly journals Charm quark mass and D-meson decay constants from two-flavour lattice QCD

Author(s):  
Jochen Heitger ◽  
Georg von Hippel ◽  
Stefan Schaefer ◽  
Francesco Virotta
2018 ◽  
Vol 175 ◽  
pp. 13013
Author(s):  
Peter A Boyle ◽  
Luigi Del Debbio ◽  
Andreas Jüttner ◽  
Ava Khamseh ◽  
Justus Tobias Tsang ◽  
...  

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


2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Jochen Heitger ◽  
Fabian Joswig ◽  
Simon Kuberski

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.


2020 ◽  
Vol 102 (5) ◽  
Author(s):  
D. Hatton ◽  
C. T. H. Davies ◽  
B. Galloway ◽  
J. Koponen ◽  
G. P. Lepage ◽  
...  

2011 ◽  
Vol 701 (1) ◽  
pp. 82-88 ◽  
Author(s):  
Wolfgang Lucha ◽  
Dmitri Melikhov ◽  
Silvano Simula

2007 ◽  
Vol 22 (02n03) ◽  
pp. 424-431 ◽  
Author(s):  
A. KRASSNIGG ◽  
C. D. ROBERTS ◽  
S. V. WRIGHT

We study pseudoscalar and scalar mesons using a practical and symmetry preserving truncation of QCD's Dyson-Schwinger equations. We investigate and compare properties of ground and radially excited meson states. In addition to exact results for radial meson excitations we also present results for meson masses and decay constants from the chiral limit up to the charm-quark mass, e.g., the mass of the χc0(2P) meson.


2018 ◽  
Vol 98 (7) ◽  
Author(s):  
A. Bazavov ◽  
C. Bernard ◽  
N. Brown ◽  
C. DeTar ◽  
A. X. El-Khadra ◽  
...  

2007 ◽  
Vol 22 (07n10) ◽  
pp. 515-528
Author(s):  
LIUMING LIU ◽  
SHIQUAN SU ◽  
XIN LI ◽  
CHUAN LIU

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.


2000 ◽  
Vol 492 (1-2) ◽  
pp. 56-62 ◽  
Author(s):  
Jochen Bartels ◽  
Carlo Ewerz ◽  
René Staritzbichler

2006 ◽  
Vol 21 (05) ◽  
pp. 1015-1032 ◽  
Author(s):  
SHIQUAN SU ◽  
LIUMING LIU ◽  
XIN LI ◽  
CHUAN LIU

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.


1994 ◽  
Vol 432 (1-2) ◽  
pp. 3-38 ◽  
Author(s):  
E. Bagan ◽  
Patricia Ball ◽  
V.M. Braun ◽  
P. Gosdzinsky

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