scholarly journals A determination of the average up-down, strange and charm quark masses at $N_f=2+1+1$

2014 ◽  
Author(s):  
Paolo Lami ◽  
Nuria Carrasco Vela ◽  
Petros Dimopoulos ◽  
Roberto Frezzotti ◽  
Vittorio Lubicz ◽  
...  
Keyword(s):  
Charm Quark ◽  
Quark Masses

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 Charmed states and flavour symmetry breaking

2018 ◽  
Vol 175 ◽  
pp. 06017 ◽  
Author(s):  
R. Horsley ◽  
Z. Koumi ◽  
Y. Nakamura ◽  
H. Perlt ◽  
P. E. L. Rakow ◽  
...  
Keyword(s):  
Symmetry Breaking ◽  
Valence Quark ◽  
Charm Quark ◽  
Lhcb Collaboration ◽  
Charmed Baryon ◽  
Quark Masses ◽  
Charm Quark Mass ◽  
Flavour Symmetry ◽  
Hadron Masses

Extending the SU(3) flavour symmetry breaking expansion from up, down and strange sea quark masses to partially quenched valence quark masses allows an extrapolation to the charm quark mass. This approach leads to a determination of charmed quark hadron masses and decay constants. We describe our recent progress and give preliminary results in particular with regard to the recently discovered doubly charmed baryon (the [see formula in PDF]) by the LHCb Collaboration.

scholarly journals Simulating twisted mass fermions at physical light, strange, and charm quark masses

2018 ◽  
Vol 98 (5) ◽  
Author(s):  
Constantia Alexandrou ◽  
Simone Bacchio ◽  
Panagiotis Charalambous ◽  
Petros Dimopoulos ◽  
Jacob Finkenrath ◽  
...  
Keyword(s):  
Charm Quark ◽  
Quark Masses ◽  
Twisted Mass

scholarly journals DETERMINATION OF LIGHT QUARK MASSES IN QCD

2010 ◽  
Vol 25 (29) ◽  
pp. 5223-5234 ◽  
Author(s):  
C. A. DOMINGUEZ
Keyword(s):  
Strange Quark ◽  
Sum Rules ◽  
Standard Procedure ◽  
Light Quark ◽  
Qcd Sum Rules ◽  
Quark Masses ◽  
Systematic Uncertainties ◽  
Better Than ◽  
The Ideal

The standard procedure to determine (analytically) the values of the quark masses is to relate QCD two-point functions to experimental data in the framework of QCD sum rules. In the case of the light quark sector, the ideal Green function is the pseudoscalar correlator which involves the quark masses as an overall multiplicative factor. For the past thirty years this method has been affected by systematic uncertainties originating in the hadronic resonance sector, thus limiting the accuracy of the results. Recently, a major breakthrough has been made allowing for a considerable reduction of these systematic uncertainties and leading to light quark masses accurate to better than 8%. This procedure will be described in this talk for the up-, down-, strange-quark masses, after a general introduction to the method of QCD sum rules.

scholarly journals Determination of quark masses from nf=4 lattice QCD and the RI-SMOM intermediate scheme

2018 ◽  
Vol 98 (1) ◽  
Author(s):  
A. T. Lytle ◽  
C. T. H. Davies ◽  
D. Hatton ◽  
G. P. Lepage ◽  
C. Sturm ◽  
...  
Keyword(s):  
Lattice Qcd ◽  
Quark Masses

PRECISE HEAVY QUARK MASSES

2013 ◽  
Vol 28 (26) ◽  
pp. 1360019 ◽  
Author(s):  
JOHANN H. KÜHN
Keyword(s):  
Heavy Quark ◽  
Critical Analysis ◽  
Bottom Quark ◽  
Fundamental Parameters ◽  
Quark Masses

Recent theoretical and experimental improvements in the determination of charmed- and bottom-quark masses are discussed. The final results, mc(3 GeV ) = 986(13) MeV and mb(mb) = 4163(16) MeV , are among the most precise determinations of these two fundamental parameters. A critical analysis of the theoretical and experimental uncertainties is presented and possibilities for further improvements of the experimental input are discussed.

scholarly journals Non-perturbative determination of improvement coefficients $$b_\mathrm{m}$$ and $$b_\mathrm{A}-b_\mathrm{P}$$ and normalisation factor $$Z_\mathrm{m}Z_\mathrm{P}/Z_\mathrm{A}$$ with $$N_\mathrm{f}= 3$$ Wilson fermions

2019 ◽  
Vol 79 (9) ◽  
Author(s):  
Giulia Maria de Divitiis ◽  
Patrick Fritzsch ◽  
Jochen Heitger ◽  
Carl Christian Köster ◽  
Simon Kuberski ◽  
...  
Keyword(s):  
Large Volume ◽  
Quark Mass ◽  
Gauge Coupling ◽  
Perturbative Calculation ◽  
Quark Masses ◽  
Functional Scheme ◽  
Normalisation Factor ◽  
Mass Renormalisation ◽  
Wilson Fermions

Abstract We determine non-perturbatively the normalisation parameter $$Z_\mathrm{m}Z_\mathrm{P}/Z_\mathrm{A}$$ZmZP/ZA as well as the Symanzik coefficients $$b_\mathrm{m}$$bm and $$b_\mathrm{A}-b_\mathrm{P}$$bA-bP, required in $$\mathrm{O}(a)$$O(a) improved quark mass renormalisation with Wilson fermions. The strategy underlying their computation involves simulations in $$N_\mathrm{f}=3$$Nf=3 QCD with $$\mathrm{O}(a)$$O(a) improved massless sea and non-degenerate valence quarks in the finite-volume Schrödinger functional scheme. Our results, which cover the typical gauge coupling range of large-volume $$N_\mathrm{f}=2+1$$Nf=2+1 QCD simulations with Wilson fermions at lattice spacings below $$0.1\,\mathrm{fm}$$0.1fm, are of particular use for the non-perturbative calculation of $$\mathrm{O}(a)$$O(a) improved renormalised quark masses.

scholarly journals PHASE DIAGRAM OF THE STRONG INTERACTION SYSTEM FROM LATTICE QCD

2011 ◽  
Vol 01 ◽  
pp. 28-33
Author(s):  
SEYONG KIM
Keyword(s):  
Phase Diagram ◽  
Thermodynamic Properties ◽  
Lattice Qcd ◽  
Strong Interaction ◽  
Accurate Determination ◽  
Baryon Density ◽  
Quark Masses ◽  
Interaction System ◽  
Sign Problem

We briefly review recent progresses in studying QCD thermodynamics from lattice QCD. Investigation of QCD in zero baryon density shows a rapid cross-over with realistic (u, d, s) quark masses. Various improvements of lattice QCD action leads to more accurate determination of QCD thermodynamic properties. Although simulating QCD in non-zero baryon density is difficult due to "sign problem", steady progress is also achieved.

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