Prospects for a lattice computation of rare kaon decay amplitudes. II. K →π ν ν ¯ decays

Norman H. Christ, Xu Feng, Antonin Portelli, Christopher T. Sachrajda

Research output: Contribution to journalArticlepeer-review

Abstract

The rare kaon decays K →π ν ν ¯ are strongly suppressed in the standard model and widely regarded as processes in which new phenomena, not predicted by the standard model, may be observed. Recognizing such new phenomena requires a precise standard model prediction for the branching ratio of K →π ν ν ¯ with controlled uncertainty for both short-distance and long-distance contributions. In this work we demonstrate the feasibility of lattice QCD calculation of the long-distance contribution to rare kaon decays with the emphasis on K+→π+ν ν ¯. Our methodology covers the calculation of both W -W and Z -exchange diagrams. We discuss the estimation of the power-law, finite-volume corrections and two methods to consistently combine the long-distance contribution determined by the lattice methods outlined here with the short-distance parts that can be reliably determined using perturbation theory. It is a subsequent work of our first methodology paper on K →π ℓ+ℓ-, where the focus was made on the γ -exchange diagrams.
Original languageEnglish
Pages (from-to)114517
JournalPhysical Review D, Particles and fields
Volume93
Issue number11
DOIs
Publication statusPublished - 30 Jun 2016

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