On the perturbative renormalization of four-quark operators for new physics
Entity
UAM. Departamento de Física Teórica; Instituto de Física Teórica (IFT)Publisher
SpringerDate
2017-06-01Citation
10.1140/epjc/s10052-017-4930-6
European Physical Journal C 77.6 (2017): 376
ISSN
1434-6044 (print); 1434-6052 (online)DOI
10.1140/epjc/s10052-017-4930-6Funded by
M.P. acknowledges partial support by the MIUR-PRINGrant 2010YJ2NYW and by the INFN SUMA project. C.P. and D.P. acknowledge support by Spanish MINECO Grants FPA2012-31686 and FPA2015-68541-P (MINECO/FEDER), and MINECO’s “Centro de Excelencia Severo Ochoa” Programme under Grant SEV-2012-0249Project
Gobierno de España. FPA2012-31686; Gobierno de España. FPA2015-68541-P; Gobierno de España. SEV-2012-0249Editor's Version
https://doi.org/10.1140/epjc/s10052-017-4930-6Subjects
Renormalization properties; Operators; Four-quark operators; GeV range; FísicaRights
© 2017, The Author(s)Abstract
We discuss the renormalization properties of the full set of Δ F= 2 operators involved in BSM processes, including the definition of RGI versions of operators that exhibit mixing under RG transformations. As a first step for a fully non-perturbative determination of the scale-dependent renormalization factors and their runnings, we introduce a family of appropriate Schrödinger Functional schemes, and study them in perturbation theory. This allows, in particular, to determine the NLO anomalous dimensions of all Δ F= 1 , 2 operators in these schemes. Finally, we discuss the systematic uncertainties related to the use of NLO perturbation theory for the RG running of four-quark operators to scales in the GeV range, in both our SF schemes and standard MS ¯ and RI-MOM schemes. Large truncation effects are found for some of the operators considered
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Google Scholar:Papinutto, Mauro
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Pena Ruano, Carlos Roberto
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Preti, D.
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