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Article
Report number arXiv:2202.08795 ; CERN-TH-2022-037
Title Simulating rare kaon decays $K^{+}\to\pi^{+}\ell^{+}\ell^{-}$ using domain wall lattice QCD with physical light quark masses
Author(s) Boyle, P.A. (Edinburgh U. ; Brookhaven) ; Erben, F. (Edinburgh U.) ; Flynn, J.M. (Southampton U. ; U. Southampton (main)) ; Gülpers, V. (Edinburgh U.) ; Hill, R.C. (Edinburgh U. ; Southampton U.) ; Hodgson, R. (Edinburgh U.) ; Jüttner, A. (Southampton U. ; U. Southampton (main) ; CERN) ; hÓgáin, F.Ó. (Edinburgh U.) ; Portelli, A. (Edinburgh U.) ; Sachrajda, C.T. (Southampton U.)
Collaboration RBC Collaboration ; UKQCD Collaboration
Publication 2023-01-01
Imprint 2022-02-17
Number of pages 11
Note 11 pages, 8 figures
In: Phys. Rev. D 107, 1 (2023) pp.L011503
DOI 10.1103/PhysRevD.107.L011503 (publication)
10.1103/PhysRevD.107.L011503 (publication)
Subject category hep-ph ; Particle Physics - Phenomenology ; hep-lat ; Particle Physics - Lattice
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 $K^+\to\pi^+\ell^+\ell^-$ 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.
Copyright/License preprint: (License: arXiv nonexclusive-distrib 1.0)
publication: Published by the American Physical Society (License: CC BY 4.0), sponsored by SCOAP³



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 Journalen skapades 2022-02-18, och modifierades senast 2024-09-21


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