Ratio of kaon and pion leptonic decay constants with N f = 2 + 1 + 1 Wilson-clover twisted-mass fermions

Alexandrou, C.; Bacchio, S.; Bergner, G.; Dimopoulos, P.; Finkenrath, J.; Frezzotti, R.; Garofalo, M.; Kostrzewa, B.; Koutsou, G.; Labus, P.; Sanfilippo, F.; Simula, S.; Ueding, M.; Urbach, C.; Wenger, Urs (2021). Ratio of kaon and pion leptonic decay constants with N f = 2 + 1 + 1 Wilson-clover twisted-mass fermions. Physical review. D - particles, fields, gravitation, and cosmology, 104(7), 074520. American Physical Society 10.1103/PhysRevD.104.074520

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We present a determination of the ratio of kaon and pion leptonic decay constants in isosymmetric QCD (ISOQCD), fK/fπ, making use of the gauge ensembles produced by the Extended Twisted Mass Collaboration with Nf = 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 ∼0.068 to ∼0.092 fm with linear lattice size up to L ∼ 5.5 fm. The scale is set by the particle data group (PDG) value of the pion decay constant, fISOQCD π = 130.4(2) MeV, at the ISOQCD pion point, MISOQCD π = 135.0(2) MeV, obtaining for the gradient-flow scales the values w0 = 0.17383(63) fm, .....t0 = 0.14436(61) fm and t0/w0 =
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 MISOQCD K = 494.2(4) MeV we get (fK/fπ)ISOQCD = 1.1995(44), where the error includes both statistical and systematic uncertainties. Implications for the Cabibbo-Kobayashi-Maskawa matrix element jVusj and for the first-row Cabibbo-Kobayashi-Maskawa unitarity are discussed.

Item Type:

Journal Article (Original Article)

Division/Institute:

08 Faculty of Science > Institute of Theoretical Physics
10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)

UniBE Contributor:

Wenger, Urs

Subjects:

500 Science > 530 Physics

ISSN:

1550-7998

Publisher:

American Physical Society

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

29 Dec 2021 14:24

Last Modified:

05 Dec 2022 15:55

Publisher DOI:

10.1103/PhysRevD.104.074520

ArXiv ID:

2104.06747

BORIS DOI:

10.48350/161992

URI:

https://boris.unibe.ch/id/eprint/161992

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