Shell model studies of competing mechanisms to the neutrinoless double-beta decay in ${}^{124}$Sn, ${}^{130}$Te, and ${}^{136}$Xe

Abstract

Neutrinoless double-beta decay is a predicted beyond Standard Model process that could clarify some of the not yet known neutrino properties, such as the mass scale, the mass hierarchy, and its nature as a Dirac or Majorana fermion. Should this transition be observed, there are still challenges in understanding the underlying contributing mechanisms. We perform a detailed shell model investigation of several beyond Standard Model mechanisms that consider the existence of right-handed currents. Our analysis presents different venues that can be used to identify the dominant mechanisms for nuclei of experimental interest in the mass A$\sim$130 region (${}^{124}$Sn, ${}^{130}$Te, and ${}^{136}$Xe). It requires an accurate knowledge of nine nuclear matrix elements that we calculate, in addition to the associated energy dependent phase-space factors.

Comments: 7 pages, 10 figures