Aug 2026· Journal of Physics G: Nuclear and Particle Physics· Vol 53, pp. 089601· 0 citations
Abstract
We use the Cayley-Hamilton theorem to derive analytic solutions for three-flavor neutrino propagation amplitude in a constant-density medium and their derivative with respect to the mixing parameters. This approach avoids Hamiltonian diagonalization and exploits precomputed matrix invariants to separate the dependence of oscillation probabilities on neutrino energy and propagation baseline. The results are implemented in the CHIC software, which provides simple, fast, and efficient computation of oscillation probabilities and their derivatives. Finally, we demonstrate the value of probability gradients for neutrino data analysis and introduce a complementary visualization, the oscillograds, to probe underlying features of neutrino mixing.
A one- and two-body $\mathfrak{su}(n)$ Hamiltonian governing the dynamics of many systems, including collective neutrino oscillations, is investigated. We start by analyzing the algebraic structure($\mathfrak{u}(n^N)$), formulate a product structure of the algebra, and utilize this to construct generic expressions for...
We present a closed-form perturbative framework for two-flavour vacuum neutrino oscillations in the presence of a weak, flavour-blind Planck-scale mass correction generated by the dimension-five Weinberg operator of the Standard Model Effective Field Theory. The perturbative treatment is developed in direct structural...
We study the stability of collective neutrino oscillations using a distributional approach motivated by the statistical mechanics of Kuramoto synchronization. Treating the ensemble of neutrino flavor polarization vectors in the thermodynamic limit $N\to\infty$, we derive an exact nonlinear Fokker--Planck (continuity) e...
Rupak Majumder, D. Mukherjee, Shamik Gupta et al.· 0 citations
We investigate three flavor neutrino phenomena in an effective holonomy corrected Schwarzschild geometry. We derive the weak-deflection angle through second post-Minkowskian order, obtain the semiclassical phases along radial and nonradial trajectories, and formulate the two-image flavor probability by including magnif...
Computing neutrino oscillation probabilities is a solved problem; computing their derivatives is not. We present MANGO (MANGO: A Neutrino Gradient Oscillator), a composable oscillation engine in which every computed quantity is differentiable with respect to all inputs, including propagation geometry, detector depth, a...
Neutrino quantum kinetics is computationally intractable in the neutrino-dense arenas of core-collapse supernovae and neutron star mergers. Flavor-wave (or flavomon) transport is an emerging approach to this problem in which small-scale flavor inhomogeneities are treated as quasiparticles with properties determined by...
A. Kost, Lucas Johns, H. Duan· 0 citations
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