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# 36th Annual International Symposium on Lattice Field Theory

22-28 July 2018
Kellogg Hotel and Conference Center
EST timezone

## Radiative corrections to decay amplitudes in lattice QCD

Jul 25, 2018, 2:40 PM
20m
103 (Kellogg Hotel and Conference Center)

### 103

#### Kellogg Hotel and Conference Center

219 S Harrison Rd, East Lansing, MI 48824
Weak Decays and Matrix Elements

### Speaker

Prof. Chris Sachrajda (University of Southampton)

### Description

The precision of lattice QCD computations of many quantities have reached such a precision that isospin breaking corrections, including electromagnetism, must be included if further progress is to be made in extracting fundamental information, such as the values of Cabibbo-Kobayashi-Maskawa matrix elements, from experimental measurements. I discuss the framework for including radiative corrections in leptonic and semileptonic decays of hadrons, including the treatment of infrared divergences. I start by briefly reviewing isospin breaking in leptonic decays and presenting the first numerical results for the ratio $\Gamma(K_{\mu2})/\Gamma(\pi_{\mu2})$ in which these corrections have been included. I will also discuss the additional theoretical issues which arise when including electromagnetic corrections to semileptonic decays, such as $K_{\ell3}$ decays.

### Primary author

Prof. Chris Sachrajda (University of Southampton)

### Co-authors

Dr Cecilia Tarantino (Universita Roma Tre) Mr Davide Giusti (Universita Roma Tre) Dr Francesco Sanfilippo (INFN, Sezione di Roma Tre) Prof. Guido Martinelli (Universita di Roma, La Sapienza) Prof. Nazario Tantalo (Universita di Roma Tor Vergata) Dr Silvano Simula (INFN, Sezione di Roma Tre) Prof. Vittorio Lubicz (Universita Roma Tre)

 Slides