scholarly journals QCD sum rule determination of the charm-quark mass

2011 ◽  
Vol 83 (7) ◽  
Author(s):  
S. Bodenstein ◽  
J. Bordes ◽  
C. A. Dominguez ◽  
J. Peñarrocha ◽  
K. Schilcher
Keyword(s):  
Quark Mass ◽  
Charm Quark ◽  
Sum Rule ◽  
Charm Quark Mass

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 DETERMINATION OF CHARM QUARK MASS AND αs(MZ) FROM HERA DATA

2013 ◽  
Vol 28 (26) ◽  
pp. 1360017 ◽  
Author(s):  
AMANDA COOPER-SARKAR
Keyword(s):  
Quark Mass ◽  
Charm Quark ◽  
Charm Production ◽  
Production Data ◽  
Hera Data ◽  
Jet Production ◽  
Charm Quark Mass

Charm production data from HERA may be used to determine the charm quark mass and jet production data from HERA may be used to determine αs(MZ). Recent results are summarised.

scholarly journals Charm quark mass determined from a pair of sum rules

2016 ◽  
Vol 31 (37) ◽  
pp. 1630041 ◽  
Author(s):  
Jens Erler ◽  
Pere Masjuan ◽  
Hubert Spiesberger
Keyword(s):  
Quark Mass ◽  
Sum Rules ◽  
Charm Quark ◽  
Vector Current ◽  
Continuum Threshold ◽  
Charm Quark Mass ◽  
Continuum Region ◽  
Continuum Contribution ◽  
The Continuum

In this paper, we present preliminary results of the determination of the charm quark mass [Formula: see text] from QCD sum rules of moments of the vector current correlator calculated in perturbative QCD at [Formula: see text]. Self-consistency between two different sum rules allow to determine the continuum contribution to the moments without requiring experimental input, except for the charm resonances below the continuum threshold. The existing experimental data from the continuum region is used, then, to confront the theoretical determination and reassess the theoretic uncertainty.

scholarly journals DETERMINATION OF αs AND mc IN DEEP-INELASTIC SCATTERING

2013 ◽  
Vol 28 (26) ◽  
pp. 1360018 ◽  
Author(s):  
SERGEY ALEKHIN ◽  
JOHANNES BLÜMLEIN ◽  
SVEN-OLAF MOCH
Keyword(s):  
Inelastic Scattering ◽  
Deep Inelastic Scattering ◽  
Quark Mass ◽  
Charm Quark ◽  
Scattering Data ◽  
Coupling Constant ◽  
Charm Quark Mass ◽  
Deep Inelastic Scattering Data ◽  
Qcd Analysis

We describe the determination of the strong coupling constant [Formula: see text] and of the charm-quark mass mc(mc) in the [Formula: see text]-scheme, based on the QCD analysis of the unpolarized World deep-inelastic scattering data. At NNLO the values of [Formula: see text] and [Formula: see text] are obtained and are compared with other determinations, and also clarifying discrepancies.

scholarly journals Towards the determination of the charm quark mass on $N_\mathrm{f}=2+1$ CLS ensembles

2019 ◽  
Author(s):  
Simon Kuberski ◽  
Jochen Heitger ◽  
Fabian Joswig ◽  
Keyword(s):  
Quark Mass ◽  
Charm Quark ◽  
Charm Quark Mass

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.

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