Light and strange quark masses for $N_f = 2 + 1$ simulations with Wilson fermions

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

doi:10.22323/1.334.0220

Cited by 5 publications

(6 citation statements)

References 11 publications

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“…In turn, the precise scale setting result of [1] is entering almost all studies done with CLS gauge configurations: in particular it has enabled the precise result for the 3-flavour QCD Λ-parameter and thus α s (m Z ) by the ALPHA-collaboration [2,41,49,50]. Further applications of our Z A -results include the non-perturbative quark mass renormalization factor in [23] and the related determination of the light and strange quark masses [48]. Regarding the N f = 2 case, the potential improvement of the scale setting in ref.…”

Section: Discussionmentioning

confidence: 95%

High precision renormalization of the flavour non-singlet Noether currents in lattice QCD with Wilson quarks

et al. 2019

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We determine the non-perturbatively renormalized axial current for O(a) improved lattice QCD with Wilson quarks. Our strategy is based on the chirally rotated Schrödinger functional and can be generalized to other finite (ratios of) renormalization constants which are traditionally obtained by imposing continuum chiral Ward identities as normalization conditions. Compared to the latter we achieve an error reduction by up to one order of magnitude. Our results have already enabled the setting of the scale for the N f = 2 + 1 CLS ensembles [1] and are thus an essential ingredient for the recent α s determination by the ALPHA collaboration [2]. In this paper we shortly review the strategy and present our results for both N f = 2 and N f = 3 lattice QCD, where we match the β-values of the CLS gauge configurations. In addition to the axial current renormalization, we also present precise results for the renormalized local vector current.

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Section: Discussionmentioning

confidence: 95%

High precision renormalization of the flavour non-singlet Noether currents in lattice QCD with Wilson quarks

et al. 2019

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“…The determination of the mass-degenerate light and strange quark masses on (2 + 1)-flavour CLS ensembles, along the same renormalisation strategy and partly similar analysis methods, was presented in ref. [28].…”

Section: Jhep05(2021)288mentioning

confidence: 99%

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

Heitger

Joswig

Kuberski

2021

J. High Energ. Phys.

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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.

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“…On top of the expected cut-off effects, heavy quarks can also introduce numerical difficulties. When the iterative solution of the Dirac equation is based on a global residuum 4) and the mass m h is heavy, time slices far away from the source are exponentially suppressed, leading to incorrect solutions at late times [10]. Distance preconditioning [11] can be used to achieve numerically accurate results at all time slices.…”

Section: Pos(lattice2019)092mentioning

confidence: 99%

“…Since we expect the mass dependent cut-off effects to be rather large for this choice, we also consider the definition based on the light-heavy correlation functions, 4) and the analogous expression from the strange-heavy correlation functions, where the non-degenerate quark masses have been defined in eq. (2.2).…”

Section: Renormalized Quark Massesmentioning

confidence: 99%

“…Here we report the status of our ongoing computation to determine the mass of the charm quark in N f = 2 + 1 lattice QCD with Wilson fermions, which applies recent non-perturbative results for the (scale dependent) quark mass renormalization factor [2], as well as for some of the improvement coefficients (multiplying the quark mass dependent terms involved) [3]. A calculation of the light and strange quark masses for the same lattice discretization is also under way [4]. Figure 1: Status of the measurements.…”

Section: Introductionmentioning

confidence: 99%

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

Heitger¹,

Joswig²,

Kuberski³

2019

Proceedings of 37th International Symposium on Lattice Field Theory — PoS(LATTICE2019)

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Light and strange quark masses for $N_f = 2 + 1$ simulations with Wilson fermions

Cited by 5 publications

References 11 publications

High precision renormalization of the flavour non-singlet Noether currents in lattice QCD with Wilson quarks

High precision renormalization of the flavour non-singlet Noether currents in lattice QCD with Wilson quarks

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

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

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