Simple and compact expressions for neutrino oscillation probabilities in matter
We reformulate perturbation theory for neutrino oscillations in matter with an expansion parameter related to the ratio of the solar to the atmospheric Δm ^{2} scales. Unlike previous works, use a renormalized basis in which certain firstorder effects are taken into account in the zerothorder Hamiltonian. Using this perturbation theory we derive extremely compact expressions for the neutrino oscillations probabilities in matter. We find, for example, that the ν _{e} disappearance probability at this order is of a simple two flavor form with an appropriately identified mixing angle and Δm ^{2}. Furthermore, despite exceptional simplicity in their forms they accommodate all order effects θ _{13} and the matter potential.
 Authors:

^{[1]};
^{[2]}
 Univ. de Sao Paulo, Sao Paulo (Brazil)
 Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
 Publication Date:
 Report Number(s):
 FERMILABPUB15196T
Journal ID: ISSN 10298479; arXiv eprint number arXiv:1505.01826
 Grant/Contract Number:
 AC0207CH11359
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 180; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
 OSTI Identifier:
 1212719
Minakata, Hisakazu, and Parke, Stephen J. Simple and compact expressions for neutrino oscillation probabilities in matter. United States: N. p.,
Web. doi:10.1007/JHEP01(2016)180.
Minakata, Hisakazu, & Parke, Stephen J. Simple and compact expressions for neutrino oscillation probabilities in matter. United States. doi:10.1007/JHEP01(2016)180.
Minakata, Hisakazu, and Parke, Stephen J. 2016.
"Simple and compact expressions for neutrino oscillation probabilities in matter". United States.
doi:10.1007/JHEP01(2016)180. https://www.osti.gov/servlets/purl/1212719.
@article{osti_1212719,
title = {Simple and compact expressions for neutrino oscillation probabilities in matter},
author = {Minakata, Hisakazu and Parke, Stephen J.},
abstractNote = {We reformulate perturbation theory for neutrino oscillations in matter with an expansion parameter related to the ratio of the solar to the atmospheric Δm2 scales. Unlike previous works, use a renormalized basis in which certain firstorder effects are taken into account in the zerothorder Hamiltonian. Using this perturbation theory we derive extremely compact expressions for the neutrino oscillations probabilities in matter. We find, for example, that the νe disappearance probability at this order is of a simple two flavor form with an appropriately identified mixing angle and Δm2. Furthermore, despite exceptional simplicity in their forms they accommodate all order effects θ13 and the matter potential.},
doi = {10.1007/JHEP01(2016)180},
journal = {Journal of High Energy Physics (Online)},
number = 180,
volume = 2016,
place = {United States},
year = {2016},
month = {1}
}