Light quark masses in $${N_\mathrm{f}=2+1}$$ lattice QCD with Wilson fermions

Bruno, Mattia; Plasencia, Isabel Campos; Fritzsch, Patrick; Koponen, Jonna; Peña, Carlos; Preti, David; Ramos, Alberto; Vladikas, A.

doi:10.1140/epjc/s10052-020-7698-z

Cited by 13 publications

(29 citation statements)

References 68 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, when they are to be used away from the chiral limit at low-energy scales (see Refs. [22,28]), this difference must be taken into account properly. We shall elaborate further on this point when summarising our work in Sect.…”

Section: Wilson Quark Massesmentioning

confidence: 99%

See 1 more Smart Citation

Ratio of flavour non-singlet and singlet scalar density renormalisation parameters in $$N_\mathrm {f}=3$$ QCD with Wilson quarks

et al. 2021

Self Cite

View full text Add to dashboard Cite

We determine non-perturbatively the normalisation factor $$r_{\mathrm{m}}\equiv Z_{\mathrm{S}}/Z_{\mathrm{S}}^{0}$$ r m ≡ Z S / Z S 0 , where $$Z_{\mathrm{S}}$$ Z S and $$Z_{\mathrm{S}}^{0}$$ Z S 0 are the renormalisation parameters of the flavour non-singlet and singlet scalar densities, respectively. This quantity is required in the computation of quark masses with Wilson fermions and for instance the renormalisation of nucleon matrix elements of scalar densities. Our calculation involves simulations of finite-volume lattice QCD with the tree-level Symanzik-improved gauge action, $$N_{\mathrm{f}}= 3$$ N f = 3 mass-degenerate $${\mathrm{O}}(a)$$ O ( a ) improved Wilson fermions and Schrödinger functional boundary conditions. The slope of the current quark mass, as a function of the subtracted Wilson quark mass is extracted both in a unitary setup (where nearly chiral valence and sea quark masses are degenerate) and in a non-unitary setup (where all valence flavours are chiral and the sea quark masses are small). These slopes are then combined with $$Z \equiv Z_{\mathrm{P}}/(Z_{\mathrm{S}}Z_{\mathrm{A}})$$ Z ≡ Z P / ( Z S Z A ) in order to obtain $$r_{\mathrm{m}}$$ r m . A novel chiral Ward identity is employed for the calculation of the normalisation factor Z. Our results cover the range of gauge couplings corresponding to lattice spacings below $$0.1\,$$ 0.1 fm, for which $$N_{\mathrm{f}}= 2+1$$ N f = 2 + 1 QCD simulations in large volumes with the same lattice action are typically performed.

show abstract

Section: Wilson Quark Massesmentioning

confidence: 99%

“…Ref. [28]. In practical computations, however, r m can be relevant at O(a), especially when dealing with heavy flavours, and should be taken into account in order to achieve full O(a) improvement; see, for example, Eq.…”

Section: Introductionmentioning

confidence: 99%

Ratio of flavour non-singlet and singlet scalar density renormalisation parameters in $$N_\mathrm {f}=3$$ QCD with Wilson quarks

et al. 2021

Self Cite

View full text Add to dashboard Cite

show abstract

“…Furthermore, while the joint extrapolations of the charm quark mass to the physical point exhibit, in line with O(a) improvement, no corrections linearly, but quadratically and of higher order in the lattice spacing, they are not able to resolve any dependence on the sea pion mass; this stands in distinct contrast to the calculation of light quark masses on a subset of the gauge configuration ensembles at hand, reported in ref. [49], for which a decent decrease of errors can be expected from accommodating more chiral ensembles (especially with fine lattice spacings) and more statistics at light quark masses.…”

Section: Summary and Discussionmentioning

confidence: 99%

“…CLS ensembles and its exact specification are explained in great detail in refs. [26,49]. Since a fixed value of the bare trace of the quark mass matrix does not imply a constant renormalized trace of the quark mass matrix, the generated gauge field configuration ensembles do not lie strictly on an LCP.…”

Section: Jhep05(2021)288mentioning

confidence: 99%

See 1 more Smart Citation

Determination of the charm quark mass in lattice QCD with 2 + 1 flavours on fine lattices

Heitger

Joswig

Kuberski

2021

J. High Energ. Phys.

View full text Add to dashboard Cite

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.

show abstract

D and Ds decay constants in Nf = 2 + 1 QCD with Wilson fermions

Kuberski,

Joswig,

Collins

et al. 2024

J. High Energ. Phys.

View full text Add to dashboard Cite

We present results for the leptonic decay constants of the D and Ds mesons from Nf = 2 + 1 lattice QCD. We employ a set of 49 high statistics gauge ensembles generated by the Coordinated Lattice Simulations (CLS) effort utilising non-perturbatively improved Wilson fermions and the tree-level Symanzik improved gauge action at six values of the lattice spacing in the range a = 0.098 fm down to a = 0.039 fm, with pion masses varying from around 420 MeV down to below the physical point. The ensembles lie on three trajectories in the quark mass plane, two trajectories intersecting close to the physical quark mass point and the third one approaching the SU(3) chiral limit, enabling tight control of the light and strange quark mass dependence. We obtain $$ {f}_{{\textrm{D}}_{\textrm{s}}} $$ f D s = 246.8(1.3) MeV, fD = 208.4(1.5) MeV and $$ {f}_{{\textrm{D}}_{\textrm{s}}} $$ f D s /fD = 1.1842(36), where the precision of our results is mostly limited by the determination of the scale.

show abstract

Light quark masses in $${N_\mathrm{f}=2+1}$$ lattice QCD with Wilson fermions

Cited by 13 publications

References 68 publications

Ratio of flavour non-singlet and singlet scalar density renormalisation parameters in $$N_\mathrm {f}=3$$ QCD with Wilson quarks

Ratio of flavour non-singlet and singlet scalar density renormalisation parameters in $$N_\mathrm {f}=3$$ QCD with Wilson quarks

Determination of the charm quark mass in lattice QCD with 2 + 1 flavours on fine lattices

D and Ds decay constants in Nf = 2 + 1 QCD with Wilson fermions

Contact Info

Product

Resources

About