Efficient numerical integration of neutrino oscillations in matter

Abstract

A special purpose solver, based on the Magnus expansion, well suited for the integration of the linear three neutrino oscillations equations in matter is proposed. The computations are speeded up to two orders of magnitude with respect to a general numerical integrator, a fact that could smooth the way for massive numerical integration concomitant with experimental data analyses. Detailed illustrations about numerical procedure and computer time costs are provided.

10 pages, 3 figures

References in corpus (9)

• The Magnus expansion and some of its applications
• Collective neutrino flavor conversion: Recent developments
• Global Analyses of Neutrino Oscillation Experiments
• Spurious instabilities in multiangle simulations of collective flavor conversion
• Simulating nonlinear neutrino flavor evolution
• Perturbative exponential expansion and matter neutrino oscillations
• Multipole expansion method for supernova neutrino oscillations
• Numerical and Physical Stability of Supernova Neutrino Flavor Evolution
• Detection of Supernova Neutrinos

Cited by in corpus (1)

• Solar neutrino probes of the muon anomalous magnetic moment in the gauged $U(1{)}_{L_{\mu }-L_{\tau }}$