Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 1, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP01(2016)180
Keywords
Neutrino Physics; Beyond Standard Model
Categories
Funding
- National Science Foundation [NSF PHY11-25915]
- Theory Group of Fermilab
- European Union FP7 ITN INVISIBLES (Marie Curie Actions) [PITN- GA-2011- 289442]
- Fermi Research Alliance [DE-AC02-07CH11359]
- U.S. Department of Energy
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We reformulate perturbation theory for neutrino oscillations in matter with an expansion parameter related to the ratio of the solar to the atmospheric Delta rn(2) scales. Unlike previous works, we use a renormalized basis in which certain first-order effects are taken into account in the zeroth-order Hamiltonian. We show that the new framework has an exceptional feature that leads to the neutrino oscillation probability in matter with the same structure as in vacuum to first order in the expansion parameter. It facilitates immediate physical interpretation of the formulas, and makes the expressions for the neutrino oscillation probabilities extremely simple and compact. We find, for example, that the nu(e) disappearance probability at this order is of a simple two-flavor form with an appropriately identified mixing angle and Delta m(2). More generally, all the oscillation probabilities can be written in the universal form with the channel-discrimination coefficient of 0, +/- 1 or simple functions of theta(23). Despite their simple forms they include all order effects of theta(13) and all order effects of the matter potential, to first order in our expansion parameter.
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