Systematic classification of three-loop realizations of the Weinberg operator

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10386042" target="_blank" >RIV/00216208:11320/18:10386042 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1007/JHEP10(2018)197" target="_blank" >https://doi.org/10.1007/JHEP10(2018)197</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/JHEP10(2018)197" target="_blank" >10.1007/JHEP10(2018)197</a>

Result language

angličtina

Original language name

Systematic classification of three-loop realizations of the Weinberg operator

Original language description

We study systematically the decomposition of the Weinberg operator at three-loop order. There are more than four thousand connected topologies. However, the vast majority of these are infinite corrections to lower order neutrino mass diagrams and only a very small percentage yields models for which the three-loop diagrams are the leading order contribution to the neutrino mass matrix. We identify 73 topologies that can lead to genuine three-loop models with fermions and scalars, i.e. models for which lower order diagrams are automatically absent without the need to invoke additional symmetries. The 73 genuine topologies can be divided into two sub-classes: normal genuine ones (44 cases) and special genuine topologies (29 cases). The latter are a special class of topologies, which can lead to genuine diagrams only for very specific choices of fields. The genuine topologies generate 374 diagrams in the weak basis, which can be reduced to only 30 distinct diagrams in the mass eigenstate basis. We also discuss how all the mass eigenstate diagrams can be described in terms of only five master integrals. We present some concrete models and for two of them we give numerical estimates for the typical size of neutrino masses they generate. Our results can be readily applied to construct other d = 5 neutrino mass models with three loops.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10300 - Physical sciences

Project

<a href="/en/project/GA17-04902S" target="_blank" >GA17-04902S: Baryon and lepton number violation in the Standard Model and beyond</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2018

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of High Energy Physics [online]

ISSN

1029-8479

e-ISSN

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Volume of the periodical

10

Issue of the periodical within the volume

10

Country of publishing house

DE - GERMANY

Number of pages

34

Pages from-to

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UT code for WoS article

000449260800013

EID of the result in the Scopus database

2-s2.0-85056122944