2021
DOI: 10.1007/jhep12(2021)169
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Decomposition of d = 9 short-range 0νββ decay operators at one-loop level

Abstract: We perform a systematical study of the dimension-9 short-range 0νββ decay operators at one-loop level. There are only six genuine topologies which generate eight diagrams, and the recipe to identify the possible one-loop realizations of the 0νββ decay operators is sketched. Certain hypercharge assignments are excluded by the absence of tree-level diagrams in a genuine one-loop model. The mediators of each decomposition can generate Majorana neutrino masses which are discussed up to two-loop level. We present a… Show more

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Cited by 12 publications
(10 citation statements)
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“…One can determine the transformations of the internal fields under SM gauge group by imposing gauge invariance at each vertex, the SU (3) C , SU (2) L representations and hypercharge U (1) Y assignments can be unambiguously fixed in tree-level realizations while there are an infinite number of UV completions at one-loop level. The complete list of the models together with the internal fields and their quantum numbers are given in the supplementary file [32], where the SU (2) L and SU (3) C representations with dimensions less than 4 and 10 respectively are considered.…”
Section: Discussionmentioning
confidence: 99%
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“…One can determine the transformations of the internal fields under SM gauge group by imposing gauge invariance at each vertex, the SU (3) C , SU (2) L representations and hypercharge U (1) Y assignments can be unambiguously fixed in tree-level realizations while there are an infinite number of UV completions at one-loop level. The complete list of the models together with the internal fields and their quantum numbers are given in the supplementary file [32], where the SU (2) L and SU (3) C representations with dimensions less than 4 and 10 respectively are considered.…”
Section: Discussionmentioning
confidence: 99%
“…The SU (3) C quantum numbers of the internal fields can be discussed at the topology level as well. We list the possible color charge assignments of the topology N-1-1 in table 3, where the SU (3) C representations up to dimension 6 are considered due to limited space and the results including octet assignment are given in the attachment [32]. The labels of the fields and the color flow of the topology N-1-1 are shown in figure 6.…”
Section: Assign Su (3) C Transformationmentioning
confidence: 99%
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“…The systematic decomposition of 0νββ-decay operators with the possible realizations are sketched in Refs. [23,33]. We will particularly pay attention to the UV realization of a class of 0νββ-decay operators which are suppressed at hadron-level in chiral power counting, but are potentially accessible at colliders and next-generation 0νββ-decay experiments and give small contributions to the neutrino masses.…”
Section: Model and 0νββ Decaymentioning
confidence: 99%
“…Various possibilities of such types of the models that can induce the 0ν2β decay have been considered [27,28,29,30,31,32,33,34]. The doubly charged scalar couplings to the leptons can carry lepton flavor numbers, and therefore, the Mu-to-Mu transition can be also induced via the doubly charged scalar exchange [35,36] in those models.…”
Section: Introductionmentioning
confidence: 99%