Abstract
We investigate some consequences if neutrinoless double beta decays of nuclei are dominated by short range interactions. To illustrate our results, we assume that such decays proceed mainly through short range interactions involving two-W-bosons exchanges and confine ourselves to only include new scalars without new gauge interactions for SM fermions. For the neutrino mass problem we propose to solve it by adopting that the active light neutrinos have predominantly Dirac masses and the small Majorana masses induced by the new scalars render them pseudo(quasi)-Dirac particles. This particular aspect of neutrinos may be detectable in the next generation of neutrino oscillation experiments and/or neutrino telescopes. If so this opens a new connection between neutrinoless double beta decays and neutrino physics. We also noted the new physics signals such as high charged scalar states that can be explored in hadron colliders. In particular, we find that a high energy e^- e^- collider will be very useful in testing the origin of lepton number violation which complements neutrinoless double decays studies.
Highlights
In this paper we investigate the possibility that neutrinoless double beta decays (0νββs) of nuclei are dominated by short range physics not involving a heavy sterile righthanded neutrino but due to some other new physics beyond the Standard Model (SM)
For the neutrino mass problem, we propose to solve it by adopting that the light neutrinos have predominantly Dirac masses and the small Majorana masses induced by the new scalars render them quasi-Dirac particles
It is intimately connected to the question of the neutrino mass generation, which remains unknown despite tremendous progress in the experimental front in establishing neutrino oscillations
Summary
In this paper we investigate the possibility that neutrinoless double beta decays (0νββs) of nuclei are dominated by short range physics not involving a heavy sterile righthanded neutrino but due to some other new physics beyond the Standard Model (SM). If all the active neutrinos are Majorana particles, their mixings and mass squared differences are given by oscillations experiments. AABSW uses exclusively effective operators and is very general, whereas we concentrate on 2-W exchange and construct UV complete models This allows us to give a more quantitative estimate of the active neutrino Majorana masses and conclude that they are too small to accommodate oscillation data and led us to the considerations of pseudo-Dirac oscillations. Since the interactions involve must violate lepton number by 2 units, one has to check that they do not generate ðmLÞee at a large enough value so as to invalid our short range dominance proposition Conceptually similar, this is independent of the black box theorem [10], which generates a Majorana mass for νe at the 4-loop level. This is more challenging experimentally but important to test the physics involved and must not be ignored
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