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Title: Determination of {theta}{sub 23} in long-baseline neutrino oscillation experiments with three-flavor mixing effects

Abstract

We examine the accuracy of {theta}{sub 23} determination in future long-baseline (LBL) {nu}{sub {mu}} disappearance experiments in the three-flavor mixing scheme of neutrinos. Despite that the error of sin{sup 2}2{theta}{sub 23} is indeed a few percent level at around the maximal mixing, we show that the error of physics variable s{sub 23}{sup 2} is large, {delta}(s{sub 23}{sup 2})/s{sub 23}{sup 2}{approx_equal}10-20%, depending upon regions of {theta}{sub 23}. The errors are severely affected by the octant degeneracy of {theta}{sub 23}, and {delta}(s{sub 23}{sup 2}) is largely amplified by the Jacobian factor relating these two variables in a region near the maximal mixing. The errors are also affected by the uncertainty due to the unknown value of {theta}{sub 13}; {delta}(s{sub 23}{sup 2}) is doubled at off maximal in the second octant of {theta}{sub 23} where the effect is largest. To overcome this problem, we discuss combined analysis with {nu}{sub e} appearance measurement in LBL experiments, or with reactor measurement of {theta}{sub 13}. For possible relevance of subleading effects even in the next generation LBL experiments, we give a self-contained derivation of the survival probability to the next to leading order in s{sub 13}{sup 2} and {delta}m{sub 21}{sup 2}/{delta}m{sub 31}{sup 2}.

Authors:
; ;  [1]
  1. Department of Physics, Tokyo Metropolitan University, Hachioji, Tokyo 192-0397 (Japan)
Publication Date:
OSTI Identifier:
20698109
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 70; Journal Issue: 11; Other Information: DOI: 10.1103/PhysRevD.70.113012; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ELECTRON NEUTRINOS; ERRORS; FLAVOR MODEL; KOBAYASHI-MASKAWA MATRIX; LAWRENCE BERKELEY LABORATORY; MATRIX ELEMENTS; MUON NEUTRINOS; NEUTRINO OSCILLATION; PARTICLE INTERACTIONS; PROBABILITY

Citation Formats

Minakata, Hisakazu, Sonoyama, Masashi, Sugiyama, Hiroaki, and Theory Group, KEK, Tsukuba, Ibaraki 305-0801. Determination of {theta}{sub 23} in long-baseline neutrino oscillation experiments with three-flavor mixing effects. United States: N. p., 2004. Web. doi:10.1103/PhysRevD.70.113012.
Minakata, Hisakazu, Sonoyama, Masashi, Sugiyama, Hiroaki, & Theory Group, KEK, Tsukuba, Ibaraki 305-0801. Determination of {theta}{sub 23} in long-baseline neutrino oscillation experiments with three-flavor mixing effects. United States. https://doi.org/10.1103/PhysRevD.70.113012
Minakata, Hisakazu, Sonoyama, Masashi, Sugiyama, Hiroaki, and Theory Group, KEK, Tsukuba, Ibaraki 305-0801. Wed . "Determination of {theta}{sub 23} in long-baseline neutrino oscillation experiments with three-flavor mixing effects". United States. https://doi.org/10.1103/PhysRevD.70.113012.
@article{osti_20698109,
title = {Determination of {theta}{sub 23} in long-baseline neutrino oscillation experiments with three-flavor mixing effects},
author = {Minakata, Hisakazu and Sonoyama, Masashi and Sugiyama, Hiroaki and Theory Group, KEK, Tsukuba, Ibaraki 305-0801},
abstractNote = {We examine the accuracy of {theta}{sub 23} determination in future long-baseline (LBL) {nu}{sub {mu}} disappearance experiments in the three-flavor mixing scheme of neutrinos. Despite that the error of sin{sup 2}2{theta}{sub 23} is indeed a few percent level at around the maximal mixing, we show that the error of physics variable s{sub 23}{sup 2} is large, {delta}(s{sub 23}{sup 2})/s{sub 23}{sup 2}{approx_equal}10-20%, depending upon regions of {theta}{sub 23}. The errors are severely affected by the octant degeneracy of {theta}{sub 23}, and {delta}(s{sub 23}{sup 2}) is largely amplified by the Jacobian factor relating these two variables in a region near the maximal mixing. The errors are also affected by the uncertainty due to the unknown value of {theta}{sub 13}; {delta}(s{sub 23}{sup 2}) is doubled at off maximal in the second octant of {theta}{sub 23} where the effect is largest. To overcome this problem, we discuss combined analysis with {nu}{sub e} appearance measurement in LBL experiments, or with reactor measurement of {theta}{sub 13}. For possible relevance of subleading effects even in the next generation LBL experiments, we give a self-contained derivation of the survival probability to the next to leading order in s{sub 13}{sup 2} and {delta}m{sub 21}{sup 2}/{delta}m{sub 31}{sup 2}.},
doi = {10.1103/PhysRevD.70.113012},
url = {https://www.osti.gov/biblio/20698109}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 11,
volume = 70,
place = {United States},
year = {2004},
month = {12}
}