Precision and uncertainties in mass scale predictions in SUSY $SO(10)$ with $SU(2)_{\mathrm {L}}\times SU(2)_{\mathrm {R}}\times U(1)_{B-L}\times SU(3)_C$ intermediate breaking

M.K. Parida; B. Purkayastha; C.R. Das; B.D. Cajee

doi:doi:10.1140/epjc/s2003-01180-x

EPJ

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2024 Impact factor 4.8

Particles and Fields

Eur. Phys. J. C 28, 353-363 (2003)
DOI: 10.1140/epjc/s2003-01180-x

Precision and uncertainties in mass scale predictions in SUSY SO(10) with $SU(2)_{\mathrm {L}}\times SU(2)_{\mathrm {R}}\times U(1)_{B-L}\times SU(3)_C$ intermediate breaking

M.K. Parida, B. Purkayastha, C.R. Das and B.D. Cajee

Physics Department, North-Eastern Hill University, Shillong 793022, India

(Received: 9 May 2002 / Published online: 31 March 2003)

Abstract
In a class of SUSY SO(10) with $SU(2)_{\mathrm {L}}\times SU(2)_{\mathrm {R}}\times U(1)_{B-L}\times SU(3)_C$ $(g_{2{\mathrm{L}}}\neq g_{2{\mathrm{R}}})$ intermediate gauge symmetry, we observe that the prediction on the unification mass (M_U) is unaffected by Planck-scale-induced gravitational and intermediate-scale threshold effects, although the intermediate scale (M_I) itself is subject to such corrections. In particular, without invoking the presence of additional lighter scalar degrees of freedom but including plausible and reasonable threshold effects, we find that interesting solutions for neutrino physics corresponding to $M_{\mathrm{I}}\simeq 10^{10}$ - 10¹³ GeV and $M_{\mathrm{U}}\simeq (5$ - $6)\times 10^{17}$ GeV are permitted in the minimal models. The possibilities of low-mass right-handed gauge bosons corresponding to $M_{\mathrm{I}}\simeq 1$ - 10 TeV consistent with the CERN-LEP data are pointed out in a number of models in which threshold effects are included using effective mass parameters.