Simple and compact expressions for neutrino oscillation probabilities in matter
Abstract
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 first-order effects are taken into account in the zeroth-order 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.
- Authors:
-
- Univ. de Sao Paulo, Sao Paulo (Brazil)
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
- Publication Date:
- Research Org.:
- Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1212719
- Report Number(s):
- FERMILAB-PUB-15-196-T
Journal ID: ISSN 1029-8479; arXiv eprint number arXiv:1505.01826
- Grant/Contract Number:
- AC02-07CH11359
- Resource 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 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Minakata, Hisakazu, and Parke, Stephen J. Simple and compact expressions for neutrino oscillation probabilities in matter. United States: N. p., 2016.
Web. doi:10.1007/JHEP01(2016)180.
Minakata, Hisakazu, & Parke, Stephen J. Simple and compact expressions for neutrino oscillation probabilities in matter. United States. https://doi.org/10.1007/JHEP01(2016)180
Minakata, Hisakazu, and Parke, Stephen J. Fri .
"Simple and compact expressions for neutrino oscillation probabilities in matter". United States. https://doi.org/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 first-order effects are taken into account in the zeroth-order 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 = {Fri Jan 29 00:00:00 EST 2016},
month = {Fri Jan 29 00:00:00 EST 2016}
}
Web of Science
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Works referencing / citing this record:
Non-unitary evolution of neutrinos in matter and the leptonic unitarity test
journal, February 2019
- Fong, Chee Sheng; Minakata, Hisakazu; Nunokawa, Hiroshi
- Journal of High Energy Physics, Vol. 2019, Issue 2
Compact perturbative expressions for neutrino oscillations in matter
journal, June 2016
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Looking into analytical approximations for three-flavor neutrino oscillation probabilities in matter
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Symmetric formulation of neutrino oscillations in matter and its intrinsic connection to renormalization-group equations
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Effects of Atomic-Scale Electron Density Profile and a Fast and Efficient Iteration Algorithm for Matter Effect of Neutrino Oscillation
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Compact Perturbative Expressions For Neutrino Oscillations in Matter
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Sensitivities and synergies of DUNE and T2HK
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Non-unitary evolution of neutrinos in matter and the leptonic unitarity test
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Matter Density Profile Shape Effects at DUNE
text, January 2018
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Rotations Versus Perturbative Expansions for Calculating Neutrino Oscillation Probabilities in Matter
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