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arXiv · 1204.6338

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

W. Anthony Mann·Tomas Kafka·Jacob Schneps·Ozgur Altinok
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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 m_{21}^2/Delta m_{31}^2 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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W. Anthony Mann, Tomas Kafka, Jacob Schneps, Ozgur Altinok. 2012-12-27. Transition probability of perturbative form for nu_mu -> nu_e oscillations in matter of constant density. https://arxiv.org/abs/1204.6338

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