Finite-volume effects in long-distance processes with massless leptonic propagators
Abstract
A method was proposed recently [X. Feng and L. Jin, Phys. Rev. D 100, 094509 (2019)] to calculate QED corrections to hadronic self-energies from lattice QCD without power-law finite-volume errors. In this paper, we extend the method to processes which occur at second order in the weak interaction and in which there is a massless (or almost massless) leptonic propagator. We demonstrate that, in spite of the presence of the propagator of an almost massless electron, such an infinite-volume reconstruction procedure can be used to obtain the amplitude for the rare kaon decay K+→π+ν ν ¯ from a lattice quantum chromodynamics computation with only exponentially small finite-volume corrections.
- Publication:
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Physical Review D
- Pub Date:
- January 2021
- DOI:
- 10.1103/PhysRevD.103.014507
- arXiv:
- arXiv:2009.08287
- Bibcode:
- 2021PhRvD.103a4507C
- Keywords:
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- High Energy Physics - Lattice
- E-Print:
- 21 pages, 3 figures