Abstract
We study the possibility of observing lepton number violation in the right-handed sneutrino sector of the Next-to-Minimal Supersymmetric Standard Model extended with right-handed neutrinos. The scalar potential introduces a lepton number violating mass term for the right-handed sneutrinos, which generates a phase difference that results in oscillations between the sneutrino and antisneutrino. If we have light higgsinos and right-handed sneutrinos, the sneutrino decay width is determined by the tiny Yukawa couplings, which allows the phase difference to accumulate before the sneutrino decays. We investigate the possibilities of producing sneutrino pairs resonantly through a heavy Higgs of such a model and the ability of seeing a lepton number violating signature emerging from sneutrinos at the Large Hadron Collider. We also discuss how a possible future signal of this type could be used to determine the neutrino Yukawa couplings.
Highlights
Neutrino oscillations [1,2,3,4,5,6] have shown us that flavor violation exists in the leptonic sector of the Standard Model (SM)
While the need for new physics is clearly established by several flaws of the SM, the choice of SUSY as the beyond the SM (BSM) paradigm is per se not sufficient to remedy all of the SM shortcomings, primarily because it does not make any predictions on the origin of neutrino masses, possibly the most compelling evidence that the SM needs to be surpassed by a new theoretical framework
It becomes intriguing to assess the possibilities of accessing the rather elusive dynamics of neutrinos through its SUSY mirror image, that is, the dynamics of sneutrinos, which can potentially be probed at the Large Hadron Collider (LHC)
Summary
Neutrino oscillations [1,2,3,4,5,6] have shown us that flavor violation exists in the leptonic sector of the Standard Model (SM). Extending the SM with d 1⁄4 5 terms leads to the socalled Weinberg operator [7], which does generate neutrino masses after electroweak symmetry breaking (EWSB) This operator may be a remnant of a seesaw mechanism [8,9,10,11,12,13] after one or several heavy particles have been integrated out. It is known that sneutrinos have a Majorana character giving rise to lepton number violation [15] but for left-handed sneutrinos this contribution needs to be tiny so that it would not generate a too large loop-induced contribution to neutrino masses [16]. We show that in the next-to-minimal supersymmetric Standard Model (NMSSM) extended with a type-I seesaw we may see a lepton number violating signal in the decays of the heavy CP-even or odd doublet Higgs state to sneutrinos. VI we explain how to access the neutrino Yukawa couplings while we conclude in the last section
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