Revising the solution of the neutrino oscillation parameter degeneracies at neutrino factories
Abstract
In the context of neutrino factories, we review the solution of the degeneracies in the neutrino oscillation parameters. In particular, we have set limits to sin{sup 2}2{theta}{sub 13} in order to accomplish the unambiguous determination of {theta}{sub 23} and {delta}. We have performed two different analysis. In the first, at a baseline of 3000 km, we simulate a measurement of the channels {nu}{sub e}{yields}{nu}{sub {mu}}, {nu}{sub e}{yields}{nu}{sub {tau}}, and {nu}{sub {mu}}{yields}{nu}{sub {mu}}, combined with their respective conjugate ones, with a muon energy of 50 GeV and a running time of five years. In the second, we merge the simulated data obtained at L=3000 km with the measurement of {nu}{sub e}{yields}{nu}{sub {mu}} channel at 7250 km, the socalled 'magic baseline.' In both cases, we have studied the impact of varying the {nu}{sub {tau}} detector efficiencymass product ({epsilon}{sub {nu}{tau}xM{tau}}), at 3000 km, keeping unchanged the {nu}{sub {mu}} detector mass and its efficiency. At L=3000 km, we found the existence of degenerate zones, that correspond to values of {theta}{sub 13}, which are equal or almost equal to the true ones. These zones are extremely difficult to discard, even when we increase the number of events. However, in the second scenario, this difficulty ismore »
 Authors:

 Seccion Fisica, Departamento de Ciencias, Pontificia Universidad Catolica del Peru, Apartado 1761, Lima (Peru)
 Publication Date:
 OSTI Identifier:
 21010973
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review. D, Particles Fields
 Additional Journal Information:
 Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevD.75.033004; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 05562821
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; DATA ANALYSIS; EFFICIENCY; ELECTRON NEUTRINOS; GEV RANGE; MUON NEUTRINOS; MUONS; NEUTRINO OSCILLATION; REST MASS; STANDARD MODEL; TAU NEUTRINOS; WEINBERG ANGLE
Citation Formats
Gago, A M, and Jones Perez, J. Revising the solution of the neutrino oscillation parameter degeneracies at neutrino factories. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.033004.
Gago, A M, & Jones Perez, J. Revising the solution of the neutrino oscillation parameter degeneracies at neutrino factories. United States. https://doi.org/10.1103/PHYSREVD.75.033004
Gago, A M, and Jones Perez, J. Thu .
"Revising the solution of the neutrino oscillation parameter degeneracies at neutrino factories". United States. https://doi.org/10.1103/PHYSREVD.75.033004.
@article{osti_21010973,
title = {Revising the solution of the neutrino oscillation parameter degeneracies at neutrino factories},
author = {Gago, A M and Jones Perez, J},
abstractNote = {In the context of neutrino factories, we review the solution of the degeneracies in the neutrino oscillation parameters. In particular, we have set limits to sin{sup 2}2{theta}{sub 13} in order to accomplish the unambiguous determination of {theta}{sub 23} and {delta}. We have performed two different analysis. In the first, at a baseline of 3000 km, we simulate a measurement of the channels {nu}{sub e}{yields}{nu}{sub {mu}}, {nu}{sub e}{yields}{nu}{sub {tau}}, and {nu}{sub {mu}}{yields}{nu}{sub {mu}}, combined with their respective conjugate ones, with a muon energy of 50 GeV and a running time of five years. In the second, we merge the simulated data obtained at L=3000 km with the measurement of {nu}{sub e}{yields}{nu}{sub {mu}} channel at 7250 km, the socalled 'magic baseline.' In both cases, we have studied the impact of varying the {nu}{sub {tau}} detector efficiencymass product ({epsilon}{sub {nu}{tau}xM{tau}}), at 3000 km, keeping unchanged the {nu}{sub {mu}} detector mass and its efficiency. At L=3000 km, we found the existence of degenerate zones, that correspond to values of {theta}{sub 13}, which are equal or almost equal to the true ones. These zones are extremely difficult to discard, even when we increase the number of events. However, in the second scenario, this difficulty is overcome, demonstrating the relevance of the 'magic baseline'. From this scenario, the best limits of sin{sup 2}2{theta}{sub 13}, reached at 3{sigma}, for sin{sup 2}2{theta}{sub 23}=0.95, 0.975, and 0.99 are: 0.008, 0.015, and 0.045, respectively, obtained at {delta}=0, and considering ({epsilon}{sub {nu}{tau}xM{tau}}){approx_equal}125, which is 5 times the initial efficiencymass combination.},
doi = {10.1103/PHYSREVD.75.033004},
url = {https://www.osti.gov/biblio/21010973},
journal = {Physical Review. D, Particles Fields},
issn = {05562821},
number = 3,
volume = 75,
place = {United States},
year = {2007},
month = {2}
}