Non-perturbative renormalization of lattice four-fermion operators without power subtractions

Donini, A.; Gimenez, V. Castillo; Martinelli, G.; Talevi, M.; Vladikas, A.

doi:10.1007/s100529900097

Cited by 77 publications

(14 citation statements)

References 25 publications

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“…We found that these effects are even below the 0.3% level and thus fully under control. The N f =3 configurations are used to compute the required renormalization constants nonperturbatively using the RI-MOM method [7,8].…”

Section: Lattice Detailsmentioning

confidence: 99%

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Precision computation of the kaon bag parameter

et al. 2011

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Indirect CP violation in K \rightarrow {\pi}{\pi} decays plays a central role in constraining the flavor structure of the Standard Model (SM) and in the search for new physics. For many years the leading uncertainty in the SM prediction of this phenomenon was the one associated with the nonperturbative strong interaction dynamics in this process. Here we present a fully controlled lattice QCD calculation of these effects, which are described by the neutral kaon mixing parameter B_K . We use a two step HEX smeared clover-improved Wilson action, with four lattice spacings from a\approx0.054 fm to a\approx0.093 fm and pion masses at and even below the physical value. Nonperturbative renormalization is performed in the RI-MOM scheme, where we find that operator mixing induced by chiral symmetry breaking is very small. Using fully nonperturbative continuum running, we obtain our main result B_K^{RI}(3.5GeV)=0.531(6)_{stat}(2)_{sys}. A perturbative 2-loop conversion yields B_K^{MSbar-NDR}(2GeV)=0.564(6)_{stat}(3)_{sys}(6)_{PT}, which is in good agreement with current results from fits to experimental data.Comment: 10 pages, 7 figures. v2: Added one reference and one figure, replaced 2 figures for better readability and updated ensembles, conclusions unchanged. Final, published versio

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Section: Lattice Detailsmentioning

confidence: 99%

“…We denote their bare matrix elements K 0 |O i |K 0 by Q i . The renormalization pattern is then given by [8] Q ren…”

Section: Nonperturbative Renormalizationmentioning

confidence: 99%

Precision computation of the kaon bag parameter

et al. 2011

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“…These operators can be written as three color-unmixed (quarks in a bilinear are contracted together) and two color-mixed (quarks in different bilinears are contracted together) operators. The mixing patern is determined by the chiral properties of these operators [8,11,12]. The operator basis is given by:…”

Section: Short Range Contributionsmentioning

confidence: 99%

Short Range Operator Contributions to $0\nu\beta\beta$ decay from LQCD

Monge-Camacho¹,

Berkowitz²,

Brantley³

et al. 2019

Proceedings of the 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)

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The search for neutrinoless double beta decay of nuclei is believed to be one of the most promising means to search for new physics. Observation of this very rare nuclear process, which violates Lepton Number conservation, would imply the neutrino sector has a Majorana mass component and may also provide an explanation for the universe matter-antimatter asymmetry of the universe. In the case where a heavy intermediate particle is exchanged in this process, QCD contributions from short range interactions become relevant and the calculation of matrix elements with four-quark operators becomes necessary. In these proceedings we will discuss our current progress in the calculation of these four-quark operators from LQCD.

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“…Hence, we expect any mixing with wrong chiralities to be predominantly of infrared origin, due to the spontaneous breaking of chiral symmetry via quark condensates, and to vanish at high momenta. Based on CPS symmetry arguments [39][40][41], we also expect the parity odd projectors to show less contaminations compared to the parity even case.…”

Section: Non-perturbative Effectsmentioning

confidence: 99%

Towards a nonperturbative calculation of weak Hamiltonian Wilson coefficients

2018

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We propose a method to compute the Wilson coefficients of the weak effective Hamiltonian to all orders in the strong coupling constant using Lattice QCD simulations. We perform our calculations adopting an unphysically light weak boson mass of around 2 GeV. We demonstrate that systematic errors for the Wilson coefficients C 1 and C 2 , related to the current-current four-quark operators, can be controlled and present a path towards precise determinations in subsequent works.

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Non-perturbative renormalization of lattice four-fermion operators without power subtractions

Cited by 77 publications

References 25 publications

Precision computation of the kaon bag parameter

Precision computation of the kaon bag parameter

Short Range Operator Contributions to $0\nu\beta\beta$ decay from LQCD

Towards a nonperturbative calculation of weak Hamiltonian Wilson coefficients

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