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Chiral extrapolation of matrix elements of BSM kaon operators

2012/10/29 by Jon A. Bailey, Hyung-Jin Kim, Bailey, Jon A. +6
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.48550/arxiv.1210.7754

v1: 7 pages, no figures. Contribution to proceedings of 30th International Symposium on Lattice Field Theory (Lattice 2012), June 24-29, 2012; Cairns, Australia; v2: References updated, acknowledgement updated, no change to main text. Now 8 pages

openalex publication_date 2012/10/29 · arxiv created 2012/11/08 · arxiv updated 2012/11/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Models of new physics induce K0-K0bar mixing through operators having Dirac structures other than the "left-left" form of the Standard Model. To carry out the chiral-continuum extrapolation of results from numerical simulations, one needs to know the quark mass and lattice spacing dependence of the corresponding B-parameters in the partially quenched theory at least at next-to-leading order. For simulations using staggered fermions (such as that we are doing with HYP-smeared valence fermions on the MILC asqtad lattices) one must determine this dependence using staggered chiral perturbation theory (SChPT). We have calculated the required dependence in both SU(3) and SU(2) SChPT, working at next-to-leading order, and we give here an overview of the methodology and results. The SU(3) SChPT result turns out to be much simpler than that for the Standard Model BK operator, due to the absence of chiral suppression for the new operators. The SU(2) SChPT result turns out to be closely related to that for BK: the chiral logarithms are identical, up to an operator-dependent sign. Our results are also useful for fermions with chiral symmetry as they provide, in the continuum limit, the partially quenched generalization of existing continuum results.

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