We present a novel strategy to renormalize lattice operators in QCD+QED, including first order QED corrections to the non-perturbative evaluation of QCD renormalization constants. Our procedure takes systematically into account the mixed non-factorizable QCD+QED effects which were neglected in previous calculations, thus significantly reducing the systematic uncertainty on renormalization corrections. The procedure is presented here in the RI'-MOM scheme, but it can be applied to other schemes (e.g. RI-SMOM) with appropriate changes. We discuss the application of this strategy to the calculation of the leading isospin breaking corrections to the leptonic decay rates $Gamma(pi_{mu 2})$ and $Gamma(K_{mu 2})$, evaluated for the first time on the lattice. The precision in the matching to the $W$-regularization scheme is improved to $mathcal{O}(alpha_{em}alpha_s(M_W))$ with respect to previous calculations. Finally, we show the updated precise result obtained for the Cabibbo-Kobayashi-Maskawa matrix element $|V_{us}|$.

Di Carlo, M., Martinelli, G., Giusti, D., Lubicz, V., Sachrajda, C.t., Sanfilippo, F., et al. (2019). Non-perturbative renormalization in QCD+QED and its application to weak decays. ??????? it.cilea.surplus.oa.citation.tipologie.CitationProceedings.prensentedAt ??????? Lattice 2019, Wuhan, China.

Non-perturbative renormalization in QCD+QED and its application to weak decays

N. Tantalo
2019-11-03

Abstract

We present a novel strategy to renormalize lattice operators in QCD+QED, including first order QED corrections to the non-perturbative evaluation of QCD renormalization constants. Our procedure takes systematically into account the mixed non-factorizable QCD+QED effects which were neglected in previous calculations, thus significantly reducing the systematic uncertainty on renormalization corrections. The procedure is presented here in the RI'-MOM scheme, but it can be applied to other schemes (e.g. RI-SMOM) with appropriate changes. We discuss the application of this strategy to the calculation of the leading isospin breaking corrections to the leptonic decay rates $Gamma(pi_{mu 2})$ and $Gamma(K_{mu 2})$, evaluated for the first time on the lattice. The precision in the matching to the $W$-regularization scheme is improved to $mathcal{O}(alpha_{em}alpha_s(M_W))$ with respect to previous calculations. Finally, we show the updated precise result obtained for the Cabibbo-Kobayashi-Maskawa matrix element $|V_{us}|$.
Lattice 2019
Wuhan, China
2019
.37
Rilevanza internazionale
Settore FIS/02
eng
High Energy Physics - Lattice
http://arxiv.org/abs/1911.00938v1
Intervento a convegno
Di Carlo, M., Martinelli, G., Giusti, D., Lubicz, V., Sachrajda, C.t., Sanfilippo, F., et al. (2019). Non-perturbative renormalization in QCD+QED and its application to weak decays. ??????? it.cilea.surplus.oa.citation.tipologie.CitationProceedings.prensentedAt ??????? Lattice 2019, Wuhan, China.
Di Carlo, M; Martinelli, G; Giusti, D; Lubicz, V; Sachrajda, Ct; Sanfilippo, F; Simula, S; Tantalo, N
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/251010
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