Gradient Flow Renormalisation for Meson Mixing and Lifetimes
Abstract
Fermionic gradient flow in combination with the short-flow-time expansion provides a computational method where the renormalisation of hadronic matrix elements on the lattice can be simplified to address e.g. the issue that operators with different mass dimension can mix. We demonstrate our gradient flow renormalisation procedure by determining matrix elements of four-quark operators describing neutral meson mixing or meson lifetimes. While meson mixing calculations are well-established on the lattice and serve to validate our procedure, a lattice calculation of matrix elements for heavy meson lifetimes is still outstanding. Preliminary results for mesons formed of a charm and strange quark are presented.
Cite
@article{arxiv.2409.18891,
title = {Gradient Flow Renormalisation for Meson Mixing and Lifetimes},
author = {Matthew Black and Robert Harlander and Fabian Lange and Antonio Rago and Andrea Shindler and Oliver Witzel},
journal= {arXiv preprint arXiv:2409.18891},
year = {2024}
}
Comments
11 pages, 7 figures, 1 table, Contribution to the 41st International Symposium on Lattice Field Theory, July 28th - August 3rd 2024, Liverpool, UK. V2: A mistake in the analysis has been corrected leading to updated figures and final values for the DeltaQ=0 bag parameters