Intermediate left-right gauge symmetry, unification of couplings and fermion masses in SUSY $SO(10)\times S_4$
| dc.creator | Parida, M. K. | |
| dc.date | 2008-04-29 | |
| dc.date | 2008-09-16 | |
| dc.date.accessioned | 2026-07-07T12:27:21Z | |
| dc.date.available | 2026-07-07T12:27:21Z | |
| dc.description | If left-right gauge theory occurs as an intermediate symmetry in a GUT then, apart from other advantages, it is possible to obtain the see-saw scale necessary to understand small neutrino masses with Majorana coupling of order unity. Barring threshold or non-renormalizable gravitational effects, or assumed presence of additional light scalar particles of unprescribed origin, all other attempts to achieve manifest one-loop gauge coupling unification in SUSY SO(10) with left-right intermediate symmetry have not been successful so far. Attributing this failure to lack of flavor symmetry in the GUT, we show how the spontaneous symmetry breaking of $SO(10)\times S_4$ leads to such intermediate scale extending over a wide range, $M_R \simeq 5\times 10^{9}$ GeV to $10^{15}$ GeV. All the charged fermion masses are fitted at the see-saw scale, $M_N\simeq M_R \simeq 4 \times 10^{13}$ GeV which is obtained with Majorana coupling $f_0 \simeq 1$. Using a constrained parametrization in which CP-violation originates only from quark sector, besides other predictions made in the neutrino sector, the reactor mixing angle is found to be $θ_{13} \simeq 3^{\circ} - 5^{\circ}$ which is in the range accessible to ongoing and planned experiments. The leptonic Dirac phase turns out to be $δ\sim 2.9- 3.1$ radians with Jarlskog invariant $J \sim 2.95 \times 10^{-5} - 10^{-3}$. | |
| dc.description | Minor clarification and few references added to match the published version | |
| dc.identifier | https://arxiv.org/abs/0804.4571 | |
| dc.identifier | http://arxiv.org/abs/0804.4571 | |
| dc.identifier | Phys.Rev.D78:053004,2008 | |
| dc.identifier | doi:10.1103/PhysRevD.78.053004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/215182 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Intermediate left-right gauge symmetry, unification of couplings and fermion masses in SUSY $SO(10)\times S_4$ | |
| dc.type | text |