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Debasish Borah

Publications and source records attributed to Debasish Borah.

185 records · Page 11Linked to original sources

Spontaneous parity breaking and supersymmetry breaking in metastable vacua with consistent cosmology

We study the compatibility of spontaneous breaking of parity and successful cosmology in a left-right symmetric model where supersymmetry breaking is achieved in metastable vacua. We show that domain walls formed due to this breaking can be removed due to Planck scale suppressed terms, provided the parity breaking scale $M_R$ is constrained to remain smaller than $10^{10}-10^{11}$ GeV. Ensuring metastability is achieved naturally even if the entire mechanism operates at low scales, within a few orders of magnitude of the TeV scale. Taking $M_R$ as high as permitted, close to the acceptable reheat temperature after inflation, would require the magnetic phase of the Supersymmetric Quantum Chromodynamics (SQCD) to have set in before the end of inflation.

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Spontaneous R-parity breaking, Left-Right Symmetry and Consistent Cosmology with Transitory Domain Walls

Domain wall formation is quite generic in spontaneous Left-Right parity (D-parity) breaking models. Since they are in conflict with cosmology, we need some mechanisms to remove them. Planck scale suppressed effects have been considered to be quite successful for this purpose. We study this possibility in Minimal Supersymmetric Left-Right (SUSYLR) model originally proposed by Kuchimanchi et al \cite{Kuchimanchi:1993jg} where both D-parity and R-parity $(R_p = (-1)^{3(B-L)+2s})$ are spontaneously broken. We find that Planck scale suppressed terms allowed for the specific particle content of this model can successfully remove the domain walls provided the D-parity breaking scale is relatively low $(\leq 10^5-10^7 \text{GeV})$. However, demanding this theory to be part of a grand unified theory such as SO(10) forces the D-parity breaking scale to be very high $(\geq 10^{14} \text{GeV})$ and hence is in conflict with the constraint from domain wall removal. We also find another class of R-parity violating SUSYLR models where both these constraints can be simultaneously satisfied.

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Supersymmetric Left-Right models with Gauge Coupling Unification and Fermion Mass Universality

We explore the unification of gauge couplings and fermion masses in two different types of supersymmetric left-right models, one with Higgs triplets and the other with both Higgs triplets as well as bitriplets. The minimal versions of these models do not give rise to the desired unification and some extra fields have to be added. After such a modification, it is possible in one model to get gauged $B-L$ symmetry to be unbroken down to TeV scale. We also identify the parameter space at the electroweak scale which gives rise to fermion mass unification at a high scale $M_{G}$. Type I seesaw emerges as the natural explanation of the small neutrino masses in both the models.

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TeV scale Left Right Symmetry with spontaneous D-parity breaking

The different scenarios of spontaneous breaking of D-parity have been studied in both non-supersymmetric and supersymmetric version of the left-right symmetric models(LRSM). We explore the possibility of a TeV scale $SU(2)_R$ breaking scale $M_R$ and hence TeV scale right handed neutrinos from both minimization of the scalar potential as well as the coupling constant unification point of view. We show that although minimization of the scalar potential allows the possibility of a TeV scale $M_R$ and tiny neutrino masses in LRSM with spontaneous D-parity breaking, the gauge coupling unification at a high scale $\sim 10^{16}$ GeV does not favour a TeV scale symmetry breaking except in the supersymmetric left-right (SUSYLR) model with Higgs doublet and bidoublet. The phenomenology of neutrino mass is also discussed.

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Type III Seesaw and Dark Matter in a Supersymmetric Left-Right Model

We propose a new supersymmetric left right model with Higgs doublets carrying odd B-L charge, higgs bidoublet and heavy Higgs triplets with zero B-L charge and a set of sterile neutrinos which are singlet under the gauge group. We show that spontaneous parity violation can be achieved naturally in this model and the neutrino masses arise from the so called type III seesaw mechanism. We also discuss the possible phenomenology in the context of neutrino masses and dark matter.

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