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 oscillations from high-dimensional lepton number violating operator

Geng, Chao–Qiang; Huang, Da

doi:10.1007/jhep03(2017)103

Cited by 4 publications

(8 citation statements)

References 88 publications

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“…Reference [384] generates the mass of new exotic fermions at 2-loop level via a CLBZ-type diagram, which in turn generate neutrino mass at 1-loop. Reference [385] studies a 2-loop model based on the operator O 8 , which itself is generated at 1-loop order.…”

Section: Cocktail Modelsmentioning

confidence: 99%

From the Trees to the Forest: A Review of Radiative Neutrino Mass Models

et al. 2017

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A plausible explanation for the lightness of neutrino masses is that neutrinos are massless at tree level, with their mass (typically Majorana) being generated radiatively at one or more loops. The new couplings, together with the suppression coming from the loop factors, imply that the new degrees of freedom cannot be too heavy (they are typically at the TeV scale). Therefore, in these models there are no large mass hierarchies and they can be tested using different searches, making their detailed phenomenological study very appealing. In particular, the new particles can be searched for at colliders and generically induce signals in lepton-flavor and lepton-number violating processes (in the case of Majorana neutrinos), which are not independent from reproducing correctly the neutrino masses and mixings. The main focus of the review is on Majorana neutrinos. We order the allowed theory space from three different perspectives: (i) using an effective operator approach to lepton number violation, (ii) by the number of loops at which the Weinberg operator is generated, (iii) within a given loop order, by the possible irreducible topologies. We also discuss in more detail some popular radiative models which involve qualitatively different features, revisiting their most important phenomenological implications. Finally, we list some promising avenues to pursue.

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Section: Cocktail Modelsmentioning

confidence: 99%

From the Trees to the Forest: A Review of Radiative Neutrino Mass Models

et al. 2017

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“…The operators in Table I correspond also been considered more specifically in Ref. [136], but parametrised there in terms of a Wilson…”

Section: Non-standard Lepton Number Violating Interactionsmentioning

confidence: 99%

“…To conclude this section we will briefly mention the analyses in Refs. [51,136] on the contribution toward the Majorana neutrino mass M αβ from the operators in Table I. If the discussion is shifted back to the Wilson coefficients of the operators, i.e.…”

Section: Violating Processesmentioning

confidence: 99%

“…The dimension-seven operators have also been considered more specifically in Ref. [136], but parametrised there in terms of a Wilson coefficient C ud = C ud /Λ 3 NP , where Λ NP is the scale of NP. In this paper we will adopt the following notation.…”

Section: Non-standard Lepton Number Violating Interactionsmentioning

confidence: 99%

“…It is a highly useful probe because the black-box theorem ensures that any positive signal of 0νββ decay confirms the Majorana case even when the standard light neutrino exchange process is not the dominant mechanism [28,38,39]. An extensive part of the literature has studied non-standard mechanisms, including the LNV dimension-six operator considered in this work [34,40,45,136].…”

Section: Comparison With Constraints From Other Lepton Number Violati...mentioning

confidence: 99%

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Probing nonstandard lepton number violating interactions in neutrino oscillations

Bolton

Deppisch

2019

Phys. Rev. D

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We discuss lepton number violating processes in the context of long-baseline neutrino oscillations. We summarise and compare neutrino flavour oscillations in quantum mechanics and quantum field theory, both for standard oscillations and for those that violate lepton number. When the active neutrinos are Majorana in nature, the required helicity reversal gives a strong suppression by the neutrino mass over the energy, (m ν /E ν ) 2 . Instead, the presence of non-standard lepton number violating interactions incorporating right-handed lepton currents at production or detection alleviate the mass suppression while also factorising the oscillation probability from the total rate. Such interactions arise from dimension-six operators in the low energy effective field theory of the Standard Model. We derive general and simplified expressions for the lepton number violating oscillation probabilities and use limits from MINOS and KamLAND to place bounds on the interaction strength in interplay with the unknown Majorana phases in neutrino mixing. We compare the bounds with those from neutrinoless double beta decay and other microscopic lepton number violating processes and outline the requirements for future short-and long-baseline neutrino oscillation experiments to improve on the existing bounds. * patrick.bolton.17@ucl.ac.uk

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Hilbert series and plethystics: paving the path towards 2HDM- and MLRSM-EFT

Anisha

Bakshi

Chakrabortty

et al. 2019

J. High Energ. Phys.

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Effective Field Theory (EFT) technique is one of the most elegant ways to capture the impact of high scale theory, if any, at some low energy by incorporating higher mass dimensional (≥ 5) effective operators (O i ). The low energy EFT is described in terms of only light degrees of freedom (DOF) which can appear on-shell. An essential task while developing the EFT framework is to compute these O i 's. Hilbert Series (HS) is a novel and mathematically robust method to construct the complete set of gauge invariant independent, effective operators. The HS requires the knowledge of the transformation properties of the light DOF and the covariant derivatives under the internal gauge symmetries and conformal groups. The Hilbert Series method, by its virtue, automatically takes care of the redundancies in the operator set due to the Equations of Motion (EOMs) of fields and Integration by Parts (IBPs) with impeccable accuracy.In this paper, we have adopted this methodology to construct the complete set of independent operators up to dimension-6 in the "Warsaw"-like basis for two different Beyond Standard Model scenarios -Two Higgs Doublet Model (2HDM) and Minimal Left-Right Symmetric Model (MLRSM). For both these cases, we have calculated the corrections to the scalar, gauge boson and fermion mass spectra due to the dimension-6 operators. The additional contributions to all the Feynman vertices are computed and their impact on different observables, namely Weak mixing angle, Fermi constant, ρ and oblique (S, T, U ) parameters. We have further discussed how the magnetic moments of charged leptons and production and decay of the massive BSM particles, e.g., charged scalar and different rare processes are affected in the presence of effective operators. We have also constructed the effective scalar four-point interactions and commented on the possible reinvestigation of the theoretical constraints, e.g., unitarity and vacuum stability within these frameworks.

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Large ν ‐ ν ¯ $$ \nu \hbox{-} \overline{\nu} $$ oscillations from high-dimensional lepton number violating operator

Cited by 4 publications

References 88 publications

From the Trees to the Forest: A Review of Radiative Neutrino Mass Models

From the Trees to the Forest: A Review of Radiative Neutrino Mass Models

Probing nonstandard lepton number violating interactions in neutrino oscillations

Hilbert series and plethystics: paving the path towards 2HDM- and MLRSM-EFT

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