Ratio of kaon and pion leptonic decay constants withNf=2+1+1Wilson-clover twisted-mass fermions,Physical Review D

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Ratio of kaon and pion leptonic decay constants withNf=2+1+1Wilson-clover twisted-mass fermions
Physical Review D ( IF 4.6 ) Pub Date : 2021-10-26 , DOI: 10.1103/physrevd.104.074520
C. Alexandrou _{1,

2} , S. Bacchio ₂ , G. Bergner ₃ , P. Dimopoulos ₄ , J. Finkenrath ₂ , R. Frezzotti ₅ , M. Garofalo _{6,

7} , B. Kostrzewa ₈ , G. Koutsou ₂ , P. Labus ₉ , F. Sanfilippo ₁₀ , S. Simula ₁₀ , M. Ueding ₇ , C. Urbach ₇ , U. Wenger ₁₁

Affiliation

Department of Physics, University of Cyprus, 20537 Nicosia, Cyprus
Computation-based Science and Technology Research Center, The Cyprus Institute, 20 Konstantinou Kavafi Street, 2121 Nicosia, Cyprus
University of Jena, Institute for Theoretical Physics, Max-Wien-Platz 1, D-07743 Jena, Germany
Dipartimento di Scienze Matematiche, Fisiche e Informatiche, Università di Parma and INFN, Gruppo Collegato di Parma, Parco Area delle Scienze 7/a (Campus), I-43124 Parma Italy
Dipartimento di Fisica, Università di Roma “Tor Vergata” and INFN, Sezione di Tor Vergata, Via della Ricerca Scientifica 1, I-00133 Roma, Italy
Dipartimento di Fisica, Università Roma Tre and INFN, Sezione di Roma Tre, Via della Vasca Navale 84, I-00146 Rome, Italy
HISKP (Theory), Rheinische Friedrich-Wilhelms-Universität Bonn, Nussallee 14-16, 53115 Bonn, Germany
High Performance Computing and Analytics Lab, Rheinische Friedrich-Wilhelms-Universität Bonn, Friedrich-Hirzebruch-Allee 8, 53115 Bonn, Germany
Fraunhofer Institute for Industrial Mathematics (ITWM), Fraunhofer-Platz 1, 67663 Kaiserslautern, Germany
Istituto Nazionale di Fisica Nucleare, Sezione di Roma Tre, Via della Vasca Navale 84, I-00146 Rome, Italy
Institute for Theoretical Physics, Albert Einstein Center for Fundamental Physics, University of Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland

We present a determination of the ratio of kaon and pion leptonic decay constants in isosymmetric QCD (ISOQCD),

f_{K} / f_{π}

, making use of the gauge ensembles produced by the Extended Twisted Mass Collaboration with

N_{f} = 2 + 1 + 1

flavors of Wilson-clover twisted-mass quarks, including configurations close to the physical point for all dynamical flavors. The simulations are carried out at three values of the lattice spacing ranging from

\sim 0.068

\sim 0.092 fm

with linear lattice size up to

L \sim 5.5 fm

. The scale is set by the particle data group (PDG) value of the pion decay constant,

f_{π}^{ISO QCD} = 130.4 (2) MeV

, at the ISOQCD pion point,

M_{π}^{ISO QCD} = 135.0 (2) MeV

, obtaining for the gradient-flow scales the values

w_{0} = 0.17383 (63) fm

\sqrt{t_{0}} = 0.14436 (61) fm

and

t_{0} / w_{0} = 0.11969 (62) fm

. The data are analyzed within the framework of SU(2) chiral perturbation theory without resorting to the use of renormalized quark masses. At the ISOQCD kaon point