Finite-volume effects in the evaluation of the K_L - K_S mass difference
Abstract
The RBC and UKQCD collaborations have recently proposed a procedure for computing the K_L-K_S mass difference. A necessary ingredient of this procedure is the calculation of the (non-exponential) finite-volume corrections relating the results obtained on a finite lattice to the physical values. This requires a significant extension of the techniques which were used to obtain the Lellouch-Luscher factor, which contains the finite-volume corrections in the evaluation of non-leptonic kaon decay amplitudes. We review the status of our study of this issue and, although a complete proof is still being developed, suggest the form of these corrections for general volumes and a strategy for taking the infinite-volume limit. The general result reduces to the known corrections in the special case when the volume is tuned so that there is a two-pion state degenerate with the kaon.
Keywords
Cite
@article{arxiv.1401.1362,
title = {Finite-volume effects in the evaluation of the K_L - K_S mass difference},
author = {N. H. Christ and G. Martinelli and C. T. Sachrajda},
journal= {arXiv preprint arXiv:1401.1362},
year = {2014}
}
Comments
Presented at the 31st International Symposium on Lattice Field Theory (Lattice 2013), July 29 - August 3 2013, Mainz Germany. To be published in the proceedings PoS(LATTICE 2013) 399