RGE effects on neutrino masses in partial split supersymmetry

Abstract

We show that the running of the Higgs-gaugino-higgsino couplings present in Partial Split Supersymmetry can severely affect the neutrino masses generated through Bilinear R-parity Violation. We find a working scenario where the predicted neutrino observables satisfy the experimental constraints when the running is neglected. After including the running, we show that already with a split supersymmetric scale of 10 4 GeV the atmospheric mass leaves the allowed experimental window, and that the solar mass leaves it even earlier, with a split supersymmetric scale of 10 3 GeV. This shows that the correct prediction of neutrino observables in these models necessitates the inclusion of the running of these couplings.

Gravitino dark matter in split supersymmetry with bilinear R-parity violation

“…The dimensionless a i parameters are equivalent to the sneutrino vacuum expectation values, and they appear in the Split-SUSY with BRpV model after integrating out the heavy scalars. Their existence implies that we are assuming that the low energy Higgs field H has a small component of sneutrino [52]. The corresponding matching condition is given by…”

Stability of neutrino parameters and self-complementarity relation with varying SUSY breaking scale

“…One significant finding from the recent LHC experiment which sounds a little disappointing towards the possibility of SUSY is that the experiment, which was operated at an energy scale of 13 TeV, has not provided any evidence of the existence of SUSY particles so far [13,14]. In SUSY inspired neutrino physics, it is predicted that SUSY plays an important role over the neutrino masses and other observational parameters [15][16][17]. The gauge coupling and Yukawa coupling constants suffer different radiative contributions from the MSSM and SM sectors.…”

“…Nevertheless, this still gives us a hope for the possible existence of m s < 13 T eV . If seesaw (SS) mechanism is the only cause behind the generation of small neutrino masses, then it appears that the right handed neutrino mass scale must lie somewhere within the range of (10 10 − 10 16 )GeV [24,25]. In our analysis we shall vary the SS scale starting from 10 10 -10 15 GeV.…”