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Simulating rare kaon decays $K^{+} \to π^{+} ℓ^{+} ℓ^{-}$ using domain wall lattice QCD with physical light quark masses

P. A. Boyle^1,2, F. Erben¹, J. M. Flynn^3,4, V. Gülpers ¹, R. C. Hill ^1,3, R. Hodgson ¹, A. Jüttner^3,4,5, F. Ó hÓgáin¹, A. Portelli ^1,* et al. (RBC and UKQCD Collaborations)

A. Portelli ^1,* and C. T. Sachrajda³ (RBC and UKQCD Collaborations)

¹School of Physics and Astronomy, University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom
²Physics Department, Brookhaven National Laboratory, Upton, New York 11973, USA
³School of Physics and Astronomy, University of Southampton, Southampton SO17 1BJ, United Kingdom
⁴STAG Research Centre, University of Southampton, Southampton SO17 1BJ, United Kingdom
⁵CERN, Theoretical Physics Department, 1211 Geneva 23, Switzerland

^*antonin.portelli@ed.ac.uk

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Phys. Rev. D 107, L011503 – Published 13 January, 2023

DOI: https://doi.org/10.1103/PhysRevD.107.L011503

Abstract

We report the first calculation using physical light-quark masses of the electromagnetic form factor $V (z)$ describing the long-distance contributions to the $K^{+} \to π^{+} ℓ^{+} ℓ^{-}$ decay amplitude. The calculation is performed on a $2 + 1$ flavor domain wall fermion ensemble with inverse lattice spacing $a^{- 1} = 1.730 (4) GeV$ . We implement a Glashow-Iliopoulos-Maiani cancellation by extrapolating to the physical charm-quark mass from three below-charm masses. We obtain $V (z = 0.013 (2)) = - 0.87 (4.44)$ , achieving a bound for the value. The large statistical error arises from stochastically estimated quark loops.

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References (37)

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Phys. Rev. D 107, L011503– Published 13 January, 2023

Vol. 107, Iss. 1 — 1 January 2023

Received 15 April 2022
Accepted 22 November 2022

DOI: https://doi.org/10.1103/PhysRevD.107.L011503

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.

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Simulating rare kaon decays $K^{+} \to π^{+} ℓ^{+} ℓ^{-}$ using domain wall lattice QCD with physical light quark masses

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Simulating rare kaon decays K+→π+ℓ+ℓ− using domain wall lattice QCD with physical light quark masses

Abstract

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (37)

Simulating rare kaon decays $K^{+} \to π^{+} ℓ^{+} ℓ^{-}$ using domain wall lattice QCD with physical light quark masses