Evolution of neutrino mass-mixing parameters in matter with non-standard interactions

• Published in: The journal of high energy physics 2021-11, Vol.2021 (11), p.1-47, Article 94
• Main Authors: Agarwalla, Sanjib Kumar, Das, Sudipta, Masud, Mehedi, Swain, Pragyanprasu
• Format: Article
• Language: English
• Subjects: Beyond Standard Model; Classical and Quantum Gravitation; Elementary Particles; Energy; Evolution; Experiments; Flavor (particle physics); High energy physics; Leptons; Mathematical analysis; Neutrino Physics; Neutrinos; Observatories; Parameter estimation; Parameter modification; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Theoretical physics
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP11(2021)094

A bstract We explore the role of matter effect in the evolution of neutrino oscillation parameters in the presence of lepton-flavor-conserving and lepton-flavor-violating neutral-current non-standard interactions (NSI) of the neutrino. We derive simple approximate analytical expressions showing the evolution of mass-mixing parameters in matter with energy in the presence of standard interactions (SI) and SI+NSI (considering both positive and negative values of real NSI parameters). We observe that only the NSI parameters in the (2,3) block, namely ε μτ and ( γ − β ) ≡ ( ε ττ − ε μμ ) affect the modification of θ 23 . Though all the NSI parameters influence the evolution of θ 13 , ε eμ and ε eτ show a stronger impact at the energies relevant for DUNE. The solar mixing angle θ 12 quickly approaches to ∼ 90 ° with increasing energy in both SI and SI+NSI cases. The change in ∆ m 21 , m 2 is quite significant as compared to ∆ m 31 , m 2 both in SI and SI+NSI frameworks for the energies relevant for DUNE baseline. Flipping the signs of the NSI parameters alters the way in which mass-mixing parameters run with energy. We demonstrate the utility of our approach in addressing several important features related to neutrino oscillation such as: a) unraveling interesting degeneracies between θ 23 and NSI parameters, b) estimating the resonance energy in presence of NSI when θ 13 in matter becomes maximal, c) figuring out the required baselines and energies to have maximal matter effect in ν μ → ν e transition in the presence of different NSI parameters, and d) studying the impact of NSI parameters ε μτ and ( γ − β ) on the ν μ → ν μ survival probability.