On the perturbative renormalization of four-quark operators for new physics
Abstract We discuss the renormalization properties of the full set of $$\Delta F=2$$ 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 scal...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-06-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-017-4930-6 |
| _version_ | 1818154877201678336 |
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| author | M. Papinutto C. Pena D. Preti |
| author_facet | M. Papinutto C. Pena D. Preti |
| author_sort | M. Papinutto |
| collection | DOAJ |
| description | Abstract We discuss the renormalization properties of the full set of $$\Delta F=2$$ 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 $$\Delta F=1,2$$ 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 $${\overline{\mathrm{MS}}}$$ MS ¯ and RI-MOM schemes. Large truncation effects are found for some of the operators considered. |
| first_indexed | 2024-12-11T14:33:29Z |
| format | Article |
| id | doaj.art-95f66b490f6e452599d8b69bdc9f6a36 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-11T14:33:29Z |
| publishDate | 2017-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-95f66b490f6e452599d8b69bdc9f6a362022-12-22T01:02:18ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522017-06-0177613810.1140/epjc/s10052-017-4930-6On the perturbative renormalization of four-quark operators for new physicsM. Papinutto0C. Pena1D. Preti2Dipartimento di Fisica, “Sapienza” Università di Roma, and INFN, Sezione di RomaDepartamento de Física Teórica, Universidad Autónoma de MadridInstituto de Física Teórica UAM-CSIC, Universidad Autónoma de MadridAbstract We discuss the renormalization properties of the full set of $$\Delta F=2$$ 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 $$\Delta F=1,2$$ 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 $${\overline{\mathrm{MS}}}$$ MS ¯ and RI-MOM schemes. Large truncation effects are found for some of the operators considered.http://link.springer.com/article/10.1140/epjc/s10052-017-4930-6 |
| spellingShingle | M. Papinutto C. Pena D. Preti On the perturbative renormalization of four-quark operators for new physics European Physical Journal C: Particles and Fields |
| title | On the perturbative renormalization of four-quark operators for new physics |
| title_full | On the perturbative renormalization of four-quark operators for new physics |
| title_fullStr | On the perturbative renormalization of four-quark operators for new physics |
| title_full_unstemmed | On the perturbative renormalization of four-quark operators for new physics |
| title_short | On the perturbative renormalization of four-quark operators for new physics |
| title_sort | on the perturbative renormalization of four quark operators for new physics |
| url | http://link.springer.com/article/10.1140/epjc/s10052-017-4930-6 |
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