Abstract
We calculate in three-flavor lattice QCD the short-distance hadronic matrix elements of all five four-fermion operators that contribute to neutral -meson mixing both in and beyond the Standard Model. We use the MILC Collaboration’s lattice gauge-field configurations generated with asqtad-improved staggered sea quarks. We also employ the asqtad action for the valence light quarks and use the clover action with the Fermilab interpretation for the charm quark. We analyze a large set of ensembles with pions as light as and lattice spacings as fine as , thereby enabling good control over the extrapolation to the physical pion mass and continuum limit. We obtain for the matrix elements in the scheme using the choice of evanescent operators proposed by Beneke et al., evaluated at 3 GeV, (). The errors shown are from statistics and lattice systematics, and the omission of charmed sea quarks, respectively. To illustrate the utility of our matrix-element results, we place bounds on the scale of -violating new physics in mixing, finding lower limits of about for couplings of . To enable our results to be employed in more sophisticated or model-specific phenomenological studies, we provide the correlations among our matrix-element results. For convenience, we also present numerical results in the other commonly used scheme of Buras, Misiak, and Urban.
11 More- Received 21 July 2017
DOI:https://doi.org/10.1103/PhysRevD.97.034513
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