Improvements on perturbative oscillation formulas including non-standard neutrino Interactions

Abstract

We present perturbative oscillation probabilities for electron and muon channels including non-standard interaction (NSI) effects. The perturbation was performed in standard parameters ∆m 2 21 /∆m 2 31 and sin 2 (θ 13 ) as in non-standard interaction couplings. Our goal is to match non-standard parameters with the standard ones. This leads to oscillation probabilities with NSI compact and with functional structure similar to the Standard Oscillation (SO) case. Such formalism allows us to recognize degeneracies between standard oscillation parameters and NSI parameters. In such scenario, we also have an educated guess about the origin of the reported behavior of long-baseline experiments degeneracies, which should be due to marginalization on standard oscillation parameters δ CP , θ 23 and NSI parameters.

Physics with beam tau-neutrino appearance at DUNE

“…Writing the oscillation probabilities in matter with nonzero αβ is a nontrivial exercise, and many perturbative approaches have been developed to express the probabilities analytically [53,59,60]. In general, for the baselines and energies of interest at DUNE, the probability P (ν µ → ν τ ) depends predominantly † The effective operators that lead to Eq.…”

NuOscProbExact: a general-purpose code to compute exact two-flavor and three-flavor neutrino oscillation probabilities

“…More often, carefully selected perturbative expansions and approximations are employed to cast the probabilities in forms that are amenable to physical interpretation. Many such approximate expressions exist in the literature [23,[28][29][30][31], especially for oscillations in matter [26,[32][33][34][35][36][37][38][39][40][41][42][43] with precisions that reach the per-cent level. Unfortunately, there is no systematic way to produce these useful expressions, since they are tailored to specific Hamiltonians (however, see, Ref.…”