Transition probability of perturbative form for nu_mu -> nu_e oscillations in matter of constant density

2012/04/27 by W. A. Mann, Tomáš Kafka, Mann, W. Anthony +5
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Neutrino Physics Research

paper · pdf · doi:10.48550/arxiv.1204.6338

openalex publication_date 2012/04/27 · openalex created_date 2022/08/29 · openalex updated_date 2026/07/28

Abstract

We give a convenient expression for the appearance probability P(nu_mu -> nu_e) describing neutrino oscillations in matter of constant density, derived using textbook quantum mechanics stratagems. Our formulation retains the clarity of an expansion in alpha = Delta m₂₁²/Delta m₃₁² exhibited by the popular Cervera et al. formula [Nucl. Phys. B 579, 17 (2000)] while enabling more accurate evaluation of oscillations over terrestrial baselines.

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