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Light-meson leptonic decay rates in lattice QCD+QED

M. Di Carlo, G. Martinelli, D. Giusti, V. Lubicz, C. T. Sachrajda, F. Sanfilippo, S. Simula, and N. Tantalo
Phys. Rev. D 100, 034514 – Published 21 August 2019

Abstract

The leading electromagnetic (e.m.) and strong isospin-breaking corrections to the π+μ+ν[γ] and K+μ+ν[γ] leptonic decay rates are evaluated for the first time on the lattice. The results are obtained using gauge ensembles produced by the European Twisted Mass Collaboration with Nf=2+1+1 dynamical quarks. The relative leading-order e.m. and strong isospin-breaking corrections to the decay rates are 1.53(19)% for πμ2 decays and 0.24(10)% for Kμ2 decays. Using the experimental values of the πμ2 and Kμ2 decay rates and updated lattice QCD results for the pion and kaon decay constants in isosymmetric QCD, we find that the Cabibbo-Kobayashi-Maskawa matrix element |Vus|=0.22538(46), reducing by a factor of about 1.8 the corresponding uncertainty in the particle data group review. Our calculation of |Vus| allows also an accurate determination of the first-row Cabibbo-Kobayashi-Maskawa unitarity relation |Vud|2+|Vus|2+|Vub|2=0.99988(46). Theoretical developments in this paper include a detailed discussion of how QCD can be defined in the full QCD+QED theory and an improved renormalization procedure in which the bare lattice operators are renormalized nonperturbatively into the regularization independent momentum subtraction (RI’-MOM) scheme and subsequently matched perturbatively at O(αemαs(MW)) into the W-regularization scheme appropriate for these calculations.

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  • Received 28 April 2019

DOI:https://doi.org/10.1103/PhysRevD.100.034514

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

M. Di Carlo and G. Martinelli

  • Dipartimento di Fisica and INFN Sezione di Roma La Sapienza, Piazzale Aldo Moro 5, 00185 Roma, Italy

D. Giusti and V. Lubicz

  • Dip. di Matematica e Fisica, Università Roma Tre and INFN, Sezione di Roma Tre, Via della Vasca Navale 84, I-00146 Rome, Italy

C. T. Sachrajda

  • Department of Physics and Astronomy, University of Southampton, Southampton SO17 1BJ, United Kingdom

F. Sanfilippo and S. Simula

  • Istituto Nazionale di Fisica Nucleare, Sezione di Roma Tre, Via della Vasca Navale 84, I-00146 Rome, Italy

N. Tantalo

  • Dipartimento di Fisica and INFN, Università di Roma “Tor Vergata,” Via della Ricerca Scientifica 1, I-00133 Roma, Italy

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Issue

Vol. 100, Iss. 3 — 1 August 2019

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