Speaker
Description
We explore the role of matter effect in the evolution of neutrino oscillation parameters in the presence of all possible lepton-flavour-conserving and lepton-flavour-violating non-standard interactions (NSIs) of the neutrino. We derive simple approximate analytical expressions for the mass-mixing parameters in matter in presence of NSIs. We observe that only the NSIs in 2-3 block($\varepsilon_{\mu\mu}, \varepsilon_{\tau\tau}$,and $\varepsilon_{\mu\tau}$) affect the running of $\theta_{23}$. Though all the NSIs influence the evolution of $\theta_{13}$, but, $\varepsilon_{e\mu}$ and $\varepsilon_{e\tau}$ have prominent impact at the energies relevant for DUNE. We demonstrate the utility of our approach in addressing several important features related to neutrino oscillation such as: a) estimating the resonance energy in presence of NSIs when $\theta_{13}$ in matter becomes maximal, b) figuring out the required baseline length and neutrino energies to have maximal matter effect in $\nu_{\mu}$ to $\nu_{e}$ transition, and c) unraveling interesting degeneracies between $\theta_{23}$ and NSI parameters.
Mini-abstract
Analytical expressions for running of oscillation parameters in matter with NSIs & their utilities