K^0-\bar K^0 mixing beyond the standard model and CP-violating electroweak penguins in quenched QCD with exact chiral symmetry

TL;DR

This paper computes kaon mixing and CP violation matrix elements using quenched lattice QCD with exact chiral symmetry, providing insights into standard and beyond standard model physics.

Contribution

It presents new lattice QCD calculations of =2 matrix elements and electroweak penguin operators with non-perturbative renormalization, including ratios larger than previous studies.

Findings

Ratios of non-SM to SM matrix elements are about twice previous estimates.

Electroweak penguin matrix elements agree with recent domain-wall fermion results.

No significant scaling violations observed within statistical errors.

Abstract

We present results for the \Delta S=2 matrix elements which are required to study neutral kaon mixing in the standard model (SM) and beyond (BSM). We also provide leading chiral order results for the matrix elements of the electroweak penguin operators which give the dominant \Delta I=3/2 contribution to direct CP violation in K->\pi\pi decays. Our calculations were performed with Neuberger fermions on two sets of quenched Wilson gauge configurations at inverse lattice spacings of approximately 2.2 GeV and 1.5 GeV. All renormalizations were implemented non-perturbatively in the RI/MOM scheme, where we accounted for sub-leading operator product expansion corrections and discretization errors. We find ratios of non-SM to SM matrix elements which are roughly twice as large as in the only other dedicated lattice study of these amplitudes. On the other hand, our results for the electroweak penguin matrix elements are in good agreement with two recent domain-wall fermion calculations. As a by-product of our study, we determine the strange quark mass. Our main results are summarized and discussed in Sec. VII. Within our statistics, we find no evidence for scaling violations.