• Open Access

K+π+νν¯ decay amplitude from lattice QCD

Ziyuan Bai, Norman H. Christ, Xu Feng, Andrew Lawson, Antonin Portelli, and Christopher T. Sachrajda (RBC and UKQCD collaborations)
Phys. Rev. D 98, 074509 – Published 15 October 2018

Abstract

In Ref. [1] we have presented the results of an exploratory lattice QCD computation of the long-distance contribution to the K+π+νν¯ decay amplitude. In the present paper we describe the details of this calculation, which includes the implementation of a number of novel techniques. The K+π+νν¯ 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 O(5%) in the branching ratio. Our study demonstrates the feasibility of lattice QCD computations of the K+π+νν¯ decay amplitude, and in particular of the long-distance component. Though this calculation is performed on a small lattice (163×32) and at unphysical pion, kaon and charm quark masses, mπ=420MeV, mK=563MeV and mcMS¯(2GeV)=863MeV, the techniques presented in this work can readily be applied to a future realistic calculation.

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  • 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

Physics Subject Headings (PhySH)

  1. Physical Systems
  1. Techniques
Particles & Fields

Authors & Affiliations

Ziyuan Bai1, Norman H. Christ1, Xu Feng2,*, Andrew Lawson3, Antonin Portelli4, and Christopher T. Sachrajda3 (RBC and UKQCD collaborations)

  • 1Physics Department, Columbia University, New York, New York 10027, USA
  • 2School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China, Collaborative Innovation Center of Quantum Matter, Beijing 100871, China, and Center for High Energy Physics, Peking University, Beijing 100871, China
  • 3Department of Physics and Astronomy, University of Southampton, Southampton SO17 1BJ, United Kingdom
  • 4School of Physics and Astronomy, University of Edinburgh, Edinburgh EH9 3JZ, United Kingdom

  • *xu.feng@pku.edu.cn

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Issue

Vol. 98, Iss. 7 — 1 October 2018

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