Abstract
e report on the status of an ongoing effort by the RQCD and ALPHA Collaborations, aimed at determining leptonic decay constants of charmed mesons. Our analysis is based on large-volume ensembles generated within the CLS effort, employing Nf = 2 + 1 non-perturbatively O(a) improved Wilson quarks, tree-level Symanzik-improved gauge action and open boundary conditions. The ensembles cover lattice spac-ings from a ≈ 0.09 fm to a ≈ 0.05 fm, with pion masses varied from 420 to 200 MeV. To extrapolate to the physical masses, we follow both the (2ml + ms) = const. and the ms = const. lines in parameter space.
Highlights
Introduction and computational setupThe pseudoscalar decay constants fD and fDs encode the QCD contributions in leptonic decays of Dand Ds-mesons, respectively
We report on the status of an ongoing effort by the RQCD and ALPHA Collaborations, aimed at determining leptonic decay constants of charmed mesons
Our analysis is based on large-volume ensembles generated within the Coordinated Lattice Simulations (CLS) effort, employing Nf = 2 + 1 non-perturbatively O(a) improved Wilson quarks, tree-level Symanzikimproved gauge action and open boundary conditions
Summary
The pseudoscalar decay constants fD and fDs encode the QCD contributions in leptonic decays of Dand Ds-mesons, respectively. We follow two lines in the light and strange quark mass plane: (i) The average lattice quark mass (m = (2ml + ms) /3) is kept fixed such that the sum of the renormalized quark masses is constant up to O(a) effects (ensembles available for all β values). (ii) The renormalized strange quark mass is kept constant, again up to O(a) effects (ensembles available for β = 3.4 and β = 3.55). For details on how an almost constant renormalized strange quark mass was achieved, see Ref. Where κcrit is the critical hopping parameter value at which the axial Ward identity (i.e., PCAC) quark mass in the symmetric limit, ml = ms, vanishes. Having two lines in the quark mass plane available enables us to tightly constrain the chiral extrapolation, by enforcing extrapolations along both lines to intersect at the physical point. For further details concerning the computational setup see Refs. [2, 7, 8, 10]
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