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Title: Effects of finite volume on the K L – K S mass difference

Phenomena that involve two or more on-shell particles are particularly sensitive to the effects of finite volume and require special treatment when computed using lattice QCD. In this paper we generalize the results of Lüscher and Lellouch and Lüscher, which determine the leading-order effects of finite volume on the two-particle spectrum and two-particle decay amplitudes to determine the finite-volume effects in the second-order mixing of the K⁰ and K⁰⁻ states. We extend the methods of Kim, Sachrajda, and Sharpe to provide a direct, uniform treatment of these three, related, finite-volume corrections. In particular, the leading, finite-volume corrections to the K L – K S mass difference ΔM K and the CP-violating parameter εK are determined, including the potentially large effects which can arise from the near degeneracy of the kaon mass and the energy of a finite-volume, two-pion state.
 [1] ;  [1] ;  [2] ;  [3]
  1. Columbia Univ., New York, NY (United States)
  2. Trieste and INFN Sezione di Roma La Sapienza, Roma (Italy)
  3. Univ. of Southampton (United Kingdom)
Publication Date:
Grant/Contract Number:
Publisher's Accepted Manuscript
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 91; Journal Issue: 11; Related Information: CHORUS Timestamp: 2017-04-06 02:46:55; Journal ID: ISSN 1550-7998
American Physical Society
Sponsoring Org:
Country of Publication:
United States
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