scholarly journals Determination of the charm-quark mass in the MS¯ scheme using charm production data from deep-inelastic scattering at HERA

2012 ◽  
Vol 718 (2) ◽  
pp. 550-557 ◽  
Author(s):  
S. Alekhin ◽  
K. Daum ◽  
K. Lipka ◽  
S. Moch
2013 ◽  
Vol 28 (26) ◽  
pp. 1360017 ◽  
Author(s):  
AMANDA COOPER-SARKAR

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.


2013 ◽  
Vol 28 (26) ◽  
pp. 1360018 ◽  
Author(s):  
SERGEY ALEKHIN ◽  
JOHANNES BLÜMLEIN ◽  
SVEN-OLAF MOCH

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.


2017 ◽  
Vol 775 ◽  
pp. 233-238 ◽  
Author(s):  
A. Gizhko ◽  
A. Geiser ◽  
S. Moch ◽  
I. Abt ◽  
O. Behnke ◽  
...  

2013 ◽  
Vol 720 (1-3) ◽  
pp. 172-176 ◽  
Author(s):  
S. Alekhin ◽  
J. Blümlein ◽  
K. Daum ◽  
K. Lipka ◽  
S. Moch

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.


2016 ◽  
Vol 31 (37) ◽  
pp. 1630041 ◽  
Author(s):  
Jens Erler ◽  
Pere Masjuan ◽  
Hubert Spiesberger

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.


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