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Title: On the Effective Mass of the Electron Neutrino in Beta Decay

Abstract

In the presence of mixing between massive neutrino states, the distortion of the electron spectrum in beta decay is, in general, a function of several masses and mixing angles. For 3{nu}-schemes which describe the solar and atmospheric neutrino data, this distortion can be described by a single effective mass, under certain conditions. In the literature, two different definitions for the effective mass have been suggested. We show that for quasi-degenerate mass schemes (with an overall mass scale m and splitting {Delta}m{sup 2}) the two definitions coincide up to ({Delta}m{sup 2}){sup 2}/m{sup 4} corrections. We consider the impact of different effective masses on the integral energy spectrum. We show that the spectrum with a single mass can be used also to fit the data in the case of 4{nu}-schemes motivated, in particular, by the LSND results. In this case the accuracy of the mass determination turns out to be better than (10-15)%.

Authors:
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (US)
OSTI Identifier:
812601
Report Number(s):
SLAC-PUB-9593
TRN: US0303422
DOE Contract Number:  
AC03-76SF00515
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: 20 Dec 2002
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BETA DECAY; EFFECTIVE MASS; ELECTRON NEUTRINOS; CORRECTIONS

Citation Formats

Farzan, Yasaman. On the Effective Mass of the Electron Neutrino in Beta Decay. United States: N. p., 2002. Web. doi:10.2172/812601.
Farzan, Yasaman. On the Effective Mass of the Electron Neutrino in Beta Decay. United States. https://doi.org/10.2172/812601
Farzan, Yasaman. 2002. "On the Effective Mass of the Electron Neutrino in Beta Decay". United States. https://doi.org/10.2172/812601. https://www.osti.gov/servlets/purl/812601.
@article{osti_812601,
title = {On the Effective Mass of the Electron Neutrino in Beta Decay},
author = {Farzan, Yasaman},
abstractNote = {In the presence of mixing between massive neutrino states, the distortion of the electron spectrum in beta decay is, in general, a function of several masses and mixing angles. For 3{nu}-schemes which describe the solar and atmospheric neutrino data, this distortion can be described by a single effective mass, under certain conditions. In the literature, two different definitions for the effective mass have been suggested. We show that for quasi-degenerate mass schemes (with an overall mass scale m and splitting {Delta}m{sup 2}) the two definitions coincide up to ({Delta}m{sup 2}){sup 2}/m{sup 4} corrections. We consider the impact of different effective masses on the integral energy spectrum. We show that the spectrum with a single mass can be used also to fit the data in the case of 4{nu}-schemes motivated, in particular, by the LSND results. In this case the accuracy of the mass determination turns out to be better than (10-15)%.},
doi = {10.2172/812601},
url = {https://www.osti.gov/biblio/812601}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Fri Dec 20 00:00:00 EST 2002},
month = {Fri Dec 20 00:00:00 EST 2002}
}