arXiv subjects

K. Sashikanta Singh

Publications and source records attributed to K. Sashikanta Singh.

4 recordsLinked to original sources

arXiv2023

Stability of the next-to-tribimaximal mixings under radiative corrections with the variation of SUSY breaking scale in MSSM

We analyse the radiative stability of the next-to-tribimaximal mixings ($NTBM$) with the variation of SUSY breaking scale ($m_S$) in MSSM, for both normal ordering (NO) and inverted ordering (IO) at the fixed input value of seesaw scale $M_R = 10^{15}$ GeV and two different values of $\tan β$. All the neutrino oscillation parameters receive varying radiative corrections irrespective of the $m_S$ values at the electroweak scale, which are all within $3σ$ range of the latest global fit data at low value of $\tan β$ (30). NO is found to be more stable than IO for all four different NTBM mixing patterns.

hep-ph↗

arXiv2022

Effects of variations of SUSY breaking scale on neutrino parameters at low energy scale under radiative corrections

The paper addresses the effects of the variations of the SUSY breaking scale $m_s$ in the range (2-14) TeV on the three neutrino masses and mixings, in running the renormalization group equations (RGEs) for different input values of high energy seesaw scale $M_R$, in both normal and inverted hierarchical neutrino mass models. The present investigation is a continuation of the earlier works based on the variation of $m_s$ scale. Two approaches are adopted one after another - bottom-up approach for running gauge and Yukawa couplings from low to high energy scale, followed by the top-down approach from high to low energy scale for running neutrino parameters defined at high energy scale, along with gauge and Yukawa couplings. A self-complementarity relation among three mixing angles is also employed in the analysis. Significant effect due to radiative corrections on neutrino parameters with the variation of SUSY breaking scale $m_s$, is observed.

hep-ph↗

arXiv2020

Revamped Bi-Large neutrino mixing with Gatto-Sartori-Tonin like relation

The Gatto Sartori Tonin (GST) relation which establishes the Cabibbo angle in terms of the quark mass ratio: $θ_{C}=\sqrt{m_d/m_s}$, is instituted as $θ_{13}=\sqrt{m_1/m_3}$ to a Bi-large motivated lepton mixing framework that relies on the unification of mixing parameters: $θ_{13}=θ_{C}$ and $θ_{12}=θ_{23}$. This modification in addition to ruling out the possibility of vanishing $θ_{13}$, advocates for a nonzero lowest neutrino mass and underlines the normal ordering of the neutrino masses. The framework is further enhanced by the inclusion of a charged lepton diagonalizing matrix $U_{lL}$ with $ (θ_{12}^l \sim θ_C, δ=0)$. The model being architected at the Grand unification theory (GUT) scale is further run down upto the $Z$ boson scale to understand the universality of the GST relation and the Cabibbo angle.

hep-ph↗

arXiv2015

Parametrization of lepton mixing matrix in terms of deviations from bi-maximal and tri-bimaximl mixing

We parametrize lepton mixing matrix, known as PMNS matrix, in terms of three parameters which account deviations of three mixing angles from their bi-maximal or tri-bimaximal values. On the basis of this parametrization we can determine corresponding charged lepton mixing matrix in terms of those three parameters which can deviate bi-maximal or tri-bimaximal mixing. We find that the charged lepton mixing matrices which can deviate bi-maximal mixing matrix and tri-bimaximal mixing matrix exhibit similar structures. Numerical analysis shows that these charged lepton mixing matrices are close to CKM matrix of quark sector.

hep-ph↗