Model independent bounds on magnetic moments of Majorana neutrinos

We analyze neutrinoless double beta decay (0νββ) within the framework of the Standard Model Effective Field Theory. Apart from the dimension-five Weinberg operator, the first contributions appear at dimension seven. We classify the operators and evolve them to the electroweak scale, where we match them to effective dimension-six, -seven, and -nine operators. In the next step, after renormalization group evolution to the QCD scale, we construct the chiral Lagrangian arising from these operators. We develop a power-counting scheme and derive the two-nucleon 0νββ currents up to leading order in the power counting for each lepton-number-violating operator. We argue that the leadingorder contribution to the decay rate depends on a relatively small number of nuclear matrix elements. We test our power counting by comparing nuclear matrix elements obtained by various methods and by different groups. We find that the power counting works well for nuclear matrix elements calculated from a specific method, while, as in the case of light Majorana neutrino exchange, the overall magnitude of the matrix elements can differ by factors of two to three between methods. We calculate the constraints that can be set on dimension-seven lepton-number-violating operators from 0νββ experiments and study the interplay between dimension-five and -seven operators, discussing how dimension-seven contributions affect the interpretation of 0νββ in terms of the effective Majorana mass m ββ .

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“…A subset of the operators was published in refs. [37,38], and a few redundancies were eliminated in ref. [39].…”

Section: Dimension-seven Sm-eft Operatorsmentioning

confidence: 99%

Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven

Cirigliano

Dekens

Vries

et al. 2017

J. High Energ. Phys.

108

156

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“…This predicted value in an extended SM is exceedingly small to be measured. However, beyond the SM (BSM) models commonly predict larger values of µ ν , and hence any measurement of excessive neutrino magnetic moment would be a signature of BSM physics [21]. There are several consequences of the neutrinos having large magnetic mo-ments.…”

Section: Neutrino Magnetic Momentmentioning

confidence: 99%

A method for measuring coherent elastic neutrino-nucleus scattering at a far off-axis high-energy neutrino beam target

et al. 2014

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We present a new experimental method for measuring the process of Coherent Elastic Neutrino Nucleus Scattering (CENNS). This method uses a detector situated transverse to a high energy neutrino beam production target. This detector would be sensitive to the low energy neutrinos arising from pion decays-at-rest in the target. We discuss the physics motivation for making this measurement and outline the predicted backgrounds and sensitivities using this approach. We report a measurement of neutron backgrounds as found in an off-axis surface location of the Fermilab Booster Neutrino Beam (BNB) target. The results indicate that the Fermilab BNB target is a favorable location for a CENNS experiment.

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“…The unique dimension-five operator [27] is the Majorana neutrino mass and the dimension-seven operators include the Majorana magnetic moment. It is possible to give a general argument that would connect neutrino magnetic moment to the neutrino mass [28][29][30]. If the magnetic moment is generated by physics at scale Λ, we can generically write…”

Section: Three Flavorsmentioning

confidence: 99%

Magnetic moments of active and sterile neutrinos

Balantekin

Vassh

2014

Phys. Rev. D

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Since most of the neutrino parameters are well-measured, we illustrate precisely the prediction of the Standard Model, minimally extended to allow massive neutrinos, for the electron neutrino magnetic moment. We elaborate on the effects of light sterile neutrinos on the effective electron neutrino magnetic moment measured at the reactors. We explicitly show that the kinematical effects of the neutrino masses are negligible even for light sterile neutrinos.

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Model independent bounds on magnetic moments of Majorana neutrinos

Cited by 145 publications

References 25 publications

Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven

Neutrinoless double beta decay in chiral effective field theory: lepton number violation at dimension seven

A method for measuring coherent elastic neutrino-nucleus scattering at a far off-axis high-energy neutrino beam target

Magnetic moments of active and sterile neutrinos

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