The effective in matter
Abstract
In this study we generalize the concept of an effective $$\Delta m^2_{ee}$$ for $$\nu_e/\bar{\nu}_e$$ disappearance experiments, which has been extensively used by the short baseline reactor experiments, to include the effects of propagation through matter for longer baseline $$\nu_e/\bar{\nu}_e$$ disappearance experiments. This generalization is a trivial, linear combination of the neutrino mass squared eigenvalues in matter and thus is not a simple extension of the usually vacuum expression, although, as it must, it reduces to the correct expression in the vacuum limit. We also demonstrated that the effective $$\Delta m^2_{ee}$$ in matter is very useful conceptually and numerically for understanding the form of the neutrino mass squared eigenstates in matter and hence for calculating the matter oscillation probabilities. Finally we analytically estimate the precision of this two-flavor approach and numerically verify that it is precise at the sub-percent level.
- Authors:
- Publication Date:
- Research Org.:
- Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1480890
- Alternate Identifier(s):
- OSTI ID: 1471721
- Report Number(s):
- arXiv:1808.09453; FERMILAB-PUB-18-286-T
Journal ID: ISSN 2470-0010; PRVDAQ; 093001
- Grant/Contract Number:
- AC02-07CH11359
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 9; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Denton, Peter B., and Parke, Stephen J. The effective Δ m e e 2 in matter. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.98.093001.
Denton, Peter B., & Parke, Stephen J. The effective Δ m e e 2 in matter. United States. https://doi.org/10.1103/PhysRevD.98.093001
Denton, Peter B., and Parke, Stephen J. Mon .
"The effective Δ m e e 2 in matter". United States. https://doi.org/10.1103/PhysRevD.98.093001.
@article{osti_1480890,
title = {The effective Δ m e e 2 in matter},
author = {Denton, Peter B. and Parke, Stephen J.},
abstractNote = {In this study we generalize the concept of an effective $\Delta m^2_{ee}$ for $\nu_e/\bar{\nu}_e$ disappearance experiments, which has been extensively used by the short baseline reactor experiments, to include the effects of propagation through matter for longer baseline $\nu_e/\bar{\nu}_e$ disappearance experiments. This generalization is a trivial, linear combination of the neutrino mass squared eigenvalues in matter and thus is not a simple extension of the usually vacuum expression, although, as it must, it reduces to the correct expression in the vacuum limit. We also demonstrated that the effective $\Delta m^2_{ee}$ in matter is very useful conceptually and numerically for understanding the form of the neutrino mass squared eigenstates in matter and hence for calculating the matter oscillation probabilities. Finally we analytically estimate the precision of this two-flavor approach and numerically verify that it is precise at the sub-percent level.},
doi = {10.1103/PhysRevD.98.093001},
journal = {Physical Review D},
number = 9,
volume = 98,
place = {United States},
year = {Mon Nov 05 00:00:00 EST 2018},
month = {Mon Nov 05 00:00:00 EST 2018}
}
https://doi.org/10.1103/PhysRevD.98.093001
Web of Science
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