English

Split-even approach to the rare kaon decay $K \to \pi \ell^+ \ell^-$

High Energy Physics - Lattice 2025-01-31 v1 High Energy Physics - Phenomenology

Abstract

In recent years the rare kaon decay has been computed directly at the physical point. However, this calculation is currently limited by stochastic noise stemming from a light and charm quark loop GIM subtraction. The split-even approach is an alternative estimator for such loop differences, and has shown a large variance reduction in certain quantities. We present an investigation into the use of the split-even estimator in the calculation of the rare kaon decay.

Keywords

Cite

@article{arxiv.2501.18358,
  title  = {Split-even approach to the rare kaon decay $K \to \pi \ell^+ \ell^-$},
  author = {Raoul Hodgson and Vera Gülpers and Ryan Hill and Antonin Portelli},
  journal= {arXiv preprint arXiv:2501.18358},
  year   = {2025}
}