scholarly journals Determination of light and strange quark masses from two-flavour dynamical lattice QCD

2006 ◽  
Vol 639 (3-4) ◽  
pp. 307-311 ◽  
Author(s):  
M. Göckeler ◽  
R. Horsley ◽  
A.C. Irving ◽  
D. Pleiter ◽  
P.E.L. Rakow ◽  
...  
Keyword(s):  
Lattice Qcd ◽  
Strange Quark ◽  
Quark Masses ◽  
Dynamical Lattice

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

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.

scholarly journals Recent highlights with baryons from lattice QCD

2020 ◽  
Vol 241 ◽  
pp. 02004
Author(s):  
Colin Morningstar
Keyword(s):  
Lattice Qcd ◽  
Percent Level ◽  
Form Factors ◽  
Distribution Functions ◽  
Electromagnetic Form Factors ◽  
Parton Distribution Functions ◽  
Quark Masses ◽  
Proton Mass ◽  
Key Points

Highlights from recent computations in lattice QCD involving baryons are presented. Calcula tions of the proton mass and spin decompositions are discussed, a percent level determination of the nucleon axial coupling is described, and determinations of the proton and neutron electromagnetic form factors and light-cone parton distribution functions are outlined. Recent results applying the so-called Luscher method to meson-baryon systems are presented. Key points emphasized are that much better precision with disconnected diagrams is being achieved, incorporating multi-hadron operators is now feasible, and more and more studies are being done with physical quark masses.

scholarly journals Ward identity determination of $$Z_{\mathrm {S}}/Z_{\mathrm {P}}$$ for $$N_{\mathrm {f}}=3$$ lattice QCD in a Schrödinger functional setup

2020 ◽  
Vol 80 (8) ◽  
Author(s):  
Jochen Heitger ◽  
Fabian Joswig ◽  
Anastassios Vladikas
Keyword(s):  
Lattice Qcd ◽  
Large Volume ◽  
Ward Identity ◽  
Tree Level ◽  
Quark Masses ◽  
Axial Variation ◽  
Functional Boundary ◽  
Functional Boundary Conditions ◽  
Typical Range

Abstract We derive chiral Ward identities for lattice QCD with Wilson quarks and $$N_{\mathrm{f}}\ge 3$$Nf≥3 flavours, on small lattices with Schrödinger functional boundary conditions and vanishingly small quark masses. These identities relate the axial variation of the non-singlet pseudoscalar density to the scalar one, thus enabling the non-perturbative determination of the scale-independent ratio $$Z_{\mathrm {S}}/Z_{\mathrm {P}}$$ZS/ZP of the renormalisation parameters of these operators. We obtain results for $$N_{\mathrm{f}}=3$$Nf=3 QCD with tree-level Symanzik-improved gluons and Wilson-Clover quarks, for bare gauge couplings which cover the typical range of large-volume $$N_{\mathrm{f}}= 2+1$$Nf=2+1 simulations with Wilson fermions at lattice spacings below $$0.1\,$$0.1fm. The precision of our results varies from 0.3 to 1%, except for the coarsest lattice, where it is 2%. We discuss how the $$Z_{\mathrm {S}}/Z_{\mathrm {P}}$$ZS/ZP ratio can be used in the non-perturbative calculations of $${\mathrm {O}}(a)$$O(a) improved renormalised 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 TESTING FLAVOR SYMMETRIES BY B-FACTORY

2009 ◽  
Vol 24 (31) ◽  
pp. 5831-5844 ◽  
Author(s):  
TAKESHI ARAKI ◽  
JISUKE KUBO
Keyword(s):  
Predictive Models ◽  
Quark Mass ◽  
Strange Quark ◽  
Low Energy ◽  
Quark Masses ◽  
Strange Quark Mass ◽  
Flavor Symmetries ◽  
B Factory ◽  
Discrete Family

The Cabibbo–Kobayashi–Maskawa (CKM) parameters are investigated in detail in recent predictive models which are based on low-energy non-Abelian discrete family symmetries. Some of the models can already be excluded at the present precision of the determination of the CKM parameters, while some of them seem to survive. We find that to make the uncertainties of the theoretical values comparable with the assumed uncertainties of ~1° and ~2° in ϕ2(α) and ϕ3(γ), respectively, at about 50 inverse atto barn achieved at a future B factory, it is necessary to reduce the uncertainties in the quark masses, especially that of the strange quark mass by more than 60%.

scholarly journals Lattice QCD determination of neutron-antineutron matrix elements with physical quark masses

2019 ◽  
Vol 99 (7) ◽  
Author(s):  
Enrico Rinaldi ◽  
Sergey Syritsyn ◽  
Michael L. Wagman ◽  
Michael I. Buchoff ◽  
Chris Schroeder ◽  
...  
Keyword(s):  
Lattice Qcd ◽  
Matrix Elements ◽  
Quark Masses

scholarly journals High-precision determination of the light-quark masses from realistic lattice QCD

2006 ◽  
Vol 73 (11) ◽  
Author(s):  
Quentin Mason ◽  
Howard D. Trottier ◽  
Ron Horgan ◽  
Christine T. H. Davies ◽  
G. Peter Lepage
Keyword(s):  
Lattice Qcd ◽  
High Precision ◽  
Light Quark ◽  
Quark Masses ◽  
Precision Determination ◽  
High Precision Determination

scholarly journals Determination of the non-degenerate light quark masses from electromagnetic mass splittings in 2+1 flavour lattice QCD+QED

2014 ◽  
Author(s):  
Shane Drury ◽  
Tom Blum ◽  
Masashi Hayakawa ◽  
Taku Izubuchi ◽  
Christopher Sachrajda ◽  
...  
Keyword(s):  
Lattice Qcd ◽  
Light Quark ◽  
Electromagnetic Mass ◽  
Quark Masses
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