Finite-volume effects in long-distance processes with massless leptonic propagators

Abstract

In Ref. [1], a method was proposed 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 $K^{+}\to {\pi }^{+}\nu \bar{\nu }$ from a lattice quantum chromodynamics computation with only exponentially small finite-volume corrections.

21 pages, 3 figures

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Cited by in corpus (8)

• Lattice QCD calculation of the electroweak box diagrams for the kaon semileptonic decays
• The path from lattice QCD to the short-distance contribution to $0\nu \beta \beta$ decay with a light Majorana neutrino
• Lattice QCD Calculation of the Pion Mass Splitting
• On the Extraction of Low-energy Constants of Single- and Double-$\beta$ Decays from Lattice QCD: A Sensitivity Analysis
• First-principle calculation of ${\eta }_c\to 2\gamma$ decay width from lattice QCD
• Lattice QCD calculation of $K\to \ell {\nu }_{\ell }{\ell }^{\prime +}{\ell }^{\prime -}$ decay width
• Lattice QCD calculation of light sterile neutrino contribution in $0\nu 2\beta$ decay
• Radiative corrections to leptonic decays using infinite-volume reconstruction