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arXiv · 2409.18891

Gradient Flow Renormalisation for Meson Mixing and Lifetimes

Matthew Black·Robert Harlander·Fabian Lange·Antonio Rago·Andrea Shindler·Oliver Witzel
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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.

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Matthew Black, Robert Harlander, Fabian Lange, Antonio Rago, Andrea Shindler, Oliver Witzel. 2024-09-27. Gradient Flow Renormalisation for Meson Mixing and Lifetimes. https://arxiv.org/abs/2409.18891

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