Abstract
In Ref. [1] we have presented the results of an exploratory lattice QCD computation of the long-distance contribution to the decay amplitude. In the present paper we describe the details of this calculation, which includes the implementation of a number of novel techniques. The decay amplitude is dominated by short-distance contributions which can be computed in perturbation theory with the only required nonperturbative input being the relatively well-known form factors of semileptonic kaon decays. The long-distance contributions, which are the target of this work, are expected to be of in the branching ratio. Our study demonstrates the feasibility of lattice QCD computations of the decay amplitude, and in particular of the long-distance component. Though this calculation is performed on a small lattice () and at unphysical pion, kaon and charm quark masses, , and , the techniques presented in this work can readily be applied to a future realistic calculation.
5 More- Received 10 July 2018
DOI:https://doi.org/10.1103/PhysRevD.98.074509
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.
Published by the American Physical Society