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Title: 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:
 [1];  [2]
  1. Univ. de Sao Paulo, Sao Paulo (Brazil)
  2. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
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. doi:10.1007/JHEP01(2016)180.
Minakata, Hisakazu, and Parke, Stephen J. Fri . "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 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 = {2016},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 7 works
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Works referenced in this record:

Neutrino Propagation in Matter
journal, January 2013

  • Blennow, Mattias; Smirnov, Alexei Yu.
  • Advances in High Energy Physics, Vol. 2013
  • DOI: 10.1155/2013/972485

CP violation and matter effect in long baseline neutrino oscillation experiments
journal, September 1997


Golden measurements at a neutrino factory
journal, July 2000


Series expansions for three-flavor neutrino oscillation probabilities in matter
journal, April 2004

  • Akhmedov, Evgeny K.; Johansson, Robert; Lindner, Manfred
  • Journal of High Energy Physics, Vol. 2004, Issue 04
  • DOI: 10.1088/1126-6708/2004/04/078

Spectral Measurement of Electron Antineutrino Oscillation Amplitude and Frequency at Daya Bay
journal, February 2014


New Measurement of Antineutrino Oscillation with the Full Detector Configuration at Daya Bay
journal, September 2015


Three-Neutrino Oscillations in Matter, Cp-Violation and Topological Phases
journal, January 1992


CP and T violation in neutrino oscillations and invariance of Jarlskog's determinant to matter effects
journal, March 2000


Large-θ 13 perturbation theory of neutrino oscillation for long-baseline experiments
journal, June 2011

  • Asano, Katsuhiro; Minakata, Hisakazu
  • Journal of High Energy Physics, Vol. 2011, Issue 6
  • DOI: 10.1007/JHEP06(2011)022

Analytical approximation of the neutrino oscillation matter effects at large θ 13
journal, April 2014

  • Agarwalla, Sanjib Kumar; Kao, Yee; Takeuchi, Tatsu
  • Journal of High Energy Physics, Vol. 2014, Issue 4
  • DOI: 10.1007/JHEP04(2014)047

Neutrino oscillations in matter
journal, October 1989