Post-sphaleron baryogenesis and – oscillation in non-SUSY SO(10) GUT with gauge coupling unification and proton decay

Sudhanwa Patra; Prativa Pritimita

doi:10.1140/epjc/s10052-014-3078-x

EPJ

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2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2014) 74: 3078
https://doi.org/10.1140/epjc/s10052-014-3078-x

Regular Article - Theoretical Physics

Post-sphaleron baryogenesis and – $\overline{n}$ oscillation in non-SUSY SO(10) GUT with gauge coupling unification and proton decay

Sudhanwa Patra^* and Prativa Pritimita

Center of Excellence in Theoretical and Mathematical Sciences, Siksha ‘O’ Anusandhan University, Bhubaneswar, 751030, India

^* e-mail: sudha.astro@gmail.com

Received: 30 May 2014
Accepted: 15 September 2014
Published online: 30 September 2014

Abstract

“Post-sphaleron baryogenesis”, a fresh and profound mechanism of baryogenesis accounts for the matter–antimatter asymmetry of our present universe in a framework of Pati–Salam symmetry. We attempt here to embed this mechanism in a non-SUSY SO(10) grand unified theory by reviving a novel symmetry breaking chain with Pati–Salam symmetry as an intermediate symmetry breaking step and as well to address post-sphaleron baryogenesis and neutron–antineutron oscillation in a rational manner. The Pati–Salam symmetry based on the gauge group $\mathrm{SU}(2)_L \times \mathrm{SU}(2)_{R} \times \mathrm{SU}(4)_C$ is realized in our model at $10^{5}$ – $10^{6}$ GeV and the mixing time for the neutron–antineutron oscillation process having $\Delta B=2$ is found to be $\tau _{n-\bar{n}} \simeq 10^{8}$ – $10^{10}$ s with the model parameters, which is within the reach of forthcoming experiments. Other novel features of the model include low scale right-handed $W^{\pm }_R$ , $$Z_R$$ gauge bosons, explanation for neutrino oscillation data via the gauged inverse (or extended) seesaw mechanism and most importantly TeV scale color sextet scalar particles responsible for an observable $$n$$ – $\bar{n}$ oscillation which may be accessible to LHC. We also look after gauge coupling unification and an estimation of the proton lifetime with and without the addition of color sextet scalars.