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

Lattice calculation of leading isospin breaking effects in $\Gamma(K_{\ell 2})/\Gamma(\pi_{\ell 2})$ with close-to-physical chiral fermions

Aug 10, 2022, 2:00 PM
CP1-HSZ/1.002 (CP1-HSZ) - HS6 (CP1-HSZ)

CP1-HSZ/1.002 (CP1-HSZ) - HS6


Show room on map
Oral Presentation Weak Decays and Matrix Elements Weak Decays and Matrix Elements


Matteo Di Carlo (University of Edinburgh)


In this talk we present the first RBC-UKQCD lattice calculation of the leading isospin-breaking corrections to the ratio of leptonic decay rates of kaons and pions into muon and neutrino, $\Gamma(K_{\ell 2})/\Gamma(\pi_{\ell 2})$. This computation is performed using domain wall fermions with close-to-physical (light and strange) quark masses. The QED effects are implemented using a perturbative approach and infrared divergences are regulated according to the QED$_\mathrm{L}$ prescription. We describe the strategy to extract the relevant hadronic matrix elements from Euclidean correlation functions and we discuss the important role of finite volume effects in this calculation.

Primary author

Matteo Di Carlo (University of Edinburgh)

Presentation materials