# The 39th International Symposium on Lattice Field Theory (Lattice 2022)

Aug 8 – 13, 2022
Hörsaalzentrum Poppelsdorf
Europe/Berlin timezone

## Rare $K^+\to\pi^+\ell^+\ell^-$ decays with physical mass light-quarks

Aug 11, 2022, 11:50 AM
20m
CP1-HSZ/Ground-0.001 - HS3 (CP1-HSZ)

### CP1-HSZ/Ground-0.001 - HS3

#### CP1-HSZ

50
Oral Presentation QCD in searches for physics beyond the Standard Model

### Speaker

Ryan Hill (University of Edinburgh)

### Description

$K^+\to\pi^+\ell^+\ell^-$ is a highly suppressed decay mode in the Standard Model, and is therefore expected to be sensitive to new physics. In this talk, we present the first lattice calculation of the long-distance electromagnetic form factor $V$ at physical light-quark masses for this decay. Our calculation features an explicit GIM subtraction, with dynamical zMöbius quarks and Möbius domain-wall fermion sea-quarks. In order to improve upon the obtained result, we identify the particular challenges to overcome on the road towards a competitive physical-point lattice calculation and suggest routes forward.

### Primary author

Ryan Hill (University of Edinburgh)