https://doi.org/10.1140/epjc/s10052-017-4930-6
Regular Article - Theoretical Physics
On the perturbative renormalization of four-quark operators for new physics
1
Dipartimento di Fisica, “Sapienza” Università di Roma, and INFN, Sezione di Roma, Piazzale A. Moro 2, 00185, Rome, Italy
2
Departamento de Física Teórica, Universidad Autónoma de Madrid, Cantoblanco, 28049, Madrid, Spain
3
Instituto de Física Teórica UAM-CSIC, Universidad Autónoma de Madrid, c/Nicolás Cabrera 13-15, Cantoblanco, 28049, Madrid, Spain
* e-mail: david.preti@csic.es
Received:
27
January
2017
Accepted:
17
May
2017
Published online:
6
June
2017
We discuss the renormalization properties of the full set of 
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 
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 
and RI-MOM schemes. Large truncation effects are found for some of the operators considered.
© The Author(s), 2017
