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Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses

  • Regular Article - Theoretical Physics
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  • Published: 27 February 2023
  • Volume 2023, article number 242, (2023)
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Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses
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  • Peter Boyle1,2,
  • Matteo Di Carlo2,
  • Felix Erben2,
  • Vera Gülpers2,
  • Maxwell T. Hansen2,
  • Tim Harris2,
  • Nils Hermansson-Truedsson3,4,
  • Raoul Hodgson2,
  • Andreas Jüttner5,6,
  • Fionn Ó hÓgáin2,
  • Antonin Portelli2,
  • James Richings2,5,7 &
  • …
  • Andrew Zhen Ning Yong2 

  • 431 Accesses

  • 6 Citations

  • 1 Altmetric

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A preprint version of the article is available at arXiv.

Abstract

The decreasing uncertainties in theoretical predictions and experimental measurements of several hadronic observables related to weak processes, which in many cases are now smaller than O(1%), require theoretical calculations to include subleading corrections that were neglected so far. Precise determinations of leptonic and semi-leptonic decay rates, including QED and strong isospin-breaking effects, can play a central role in solving the current tensions in the first-row unitarity of the CKM matrix. In this work we present the first RBC/UKQCD lattice calculation of the isospin-breaking corrections to the ratio of leptonic decay rates of kaons and pions into muons and neutrinos. The calculation is performed at fixed lattice spacing (a−1 ≃ 1.730 GeV) on a 483 × 96 volume with Nf = 2 + 1 dynamical quarks close to the physical point and domain wall fermions in the Möbius formulation are employed. Long-distance QED interactions are included according to the QEDL prescription and the crucial role of finite-volume electromagnetic corrections in the determination of leptonic decay rates, which produce a large systematic uncertainty, is extensively discussed. Finally, we study the different sources of uncertainty on |Vus|/|Vud| and observe that, if finite-volume systematics can be reduced, the error from isospin-breaking corrections is potentially sub-dominant in the final precision of the ratio of the CKM matrix elements.

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Authors and Affiliations

  1. Physics Department, Brookhaven National Laboratory, Upton, NY, 11973, U.S.A.

    Peter Boyle

  2. School of Physics and Astronomy, University of Edinburgh, Edinburgh, EH9 3FD, United Kingdom

    Peter Boyle, Matteo Di Carlo, Felix Erben, Vera Gülpers, Maxwell T. Hansen, Tim Harris, Raoul Hodgson, Fionn Ó hÓgáin, Antonin Portelli, James Richings & Andrew Zhen Ning Yong

  3. Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics, Universität Bern, Sidlerstrasse 5, CH-3012, Bern, Switzerland

    Nils Hermansson-Truedsson

  4. Department of Astronomy and Theoretical Physics, Lund University, Sölvegatan 14A, 223 62, Lund, Sweden

    Nils Hermansson-Truedsson

  5. Physics and Astronomy, University of Southampton, Southampton, SO17 1BJ, United Kingdom

    Andreas Jüttner & James Richings

  6. CERN, Theoretical Physics Department, CH-1211, Geneva, Switzerland

    Andreas Jüttner

  7. EPCC, University of Edinburgh, EH8 9BT, Edinburgh, United Kingdom

    James Richings

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Boyle, P., Di Carlo, M., Erben, F. et al. Isospin-breaking corrections to light-meson leptonic decays from lattice simulations at physical quark masses. J. High Energ. Phys. 2023, 242 (2023). https://doi.org/10.1007/JHEP02(2023)242

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  • Received: 23 December 2022

  • Accepted: 14 February 2023

  • Published: 27 February 2023

  • DOI: https://doi.org/10.1007/JHEP02(2023)242

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Keywords

  • CKM Parameters
  • Hadronic Matrix Elements and Weak Decays
  • Lattice QCD
  • Standard Model Parameters
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