State of the Universe

When Matter Effects matter for identifying Sterile mass ordering…

by Mr. Dibya S. Chattopadhyay (TIFR)

Friday, December 23, 2022 from to (Asia/Kolkata)
at A304 and Zoom : Meeting ID: 825 1295 6967 Passcode: 384194
Description We analytically calculate the neutrino conversion probability in the presence of sterile neutrinos, with exact dependence on Δ m241 and with matter effects explicitly included. The terms involving sterile mixing angles θ24 and θ34 are separated out perturbatively, with the effects of the latter only arising due to matter effects. Furthermore, the neutrino conversion probability, written as a summation of terms of the sin(x)/x form, allows a physical understanding of matter effects and their resonance-like behaviour.

We focus on the identification of sterile mass ordering (sign of Δ m241) at a long baseline experiment like DUNE. The analytic expressions derived bring out the complex interplay between sterile and matter contributions. We numerically calculate the sensitivity of DUNE to sterile mass ordering over a large range of Δ m241. The dependence of this sensitivity, on Δ m241 values and all mass ordering combinations, can be explained using our analytic expressions.

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