Determining neutrino mass hierarchy by precision measurements in electron and muon neutrino disappearance experiments

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Recently a new method for determining the neutrino mass hierarchy by comparing the effective values of the atmospheric {Delta}m{sup 2} measured in the electron neutrino disappearance channel, {Delta}m{sup 2}(ee), with the one measured in the muon neutrino disappearance channel, {Delta}m{sup 2}({mu}{mu}), was proposed. If {Delta}m{sup 2}(ee) is larger (smaller) than {Delta}m{sup 2} ({mu}{mu}) the hierarchy is of the normal (inverted) type. We re-examine this proposition in the light of two very high precision measurements: {Delta}m{sup 2}({mu}{mu}) that may be accomplished by the phase II of the Tokai-to-Kamioka (T2K) experiment, for example, and {Delta}m{sup 2}(ee) that can be envisaged using the ... continued below

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12 pages

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Minakata, H.; U., /Tokyo Metropolitan; Nunokawa, H.; /Rio de Janeiro, Pont. U. Catol.; Parke, S.J.; /Fermilab et al. July 1, 2006.

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Recently a new method for determining the neutrino mass hierarchy by comparing the effective values of the atmospheric {Delta}m{sup 2} measured in the electron neutrino disappearance channel, {Delta}m{sup 2}(ee), with the one measured in the muon neutrino disappearance channel, {Delta}m{sup 2}({mu}{mu}), was proposed. If {Delta}m{sup 2}(ee) is larger (smaller) than {Delta}m{sup 2} ({mu}{mu}) the hierarchy is of the normal (inverted) type. We re-examine this proposition in the light of two very high precision measurements: {Delta}m{sup 2}({mu}{mu}) that may be accomplished by the phase II of the Tokai-to-Kamioka (T2K) experiment, for example, and {Delta}m{sup 2}(ee) that can be envisaged using the novel Moessbauer enhanced resonant {bar {nu}}{sub e} absorption technique. Under optimistic assumptions for the systematic uncertainties of both measurements, we estimate the parameter region of ({theta}{sub 13}, {delta}) in which the mass hierarchy can be determined. If {theta}{sub 13} is relatively large, sin{sup 2} 2{theta}{sub 13} {approx}> 0.05, and both of {Delta}m{sup 2}(ee) and {Delta}m{sup 2}({mu}{mu}) can be measured with the precision of {approx} 0.5 % it is possible to determine the neutrino mass hierarchy at > 95% CL for 0.3{pi} {approx}< {delta} {approx}< 1.7 {pi} for the current best fit values of all the other oscillation parameters.

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12 pages

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  • Journal Name: Phys.Rev.D74:053008,2006

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  • Report No.: FERMILAB-PUB-06-231-T
  • Grant Number: AC02-07CH11359
  • DOI: 10.1103/PhysRevD.74.053008 | External Link
  • Office of Scientific & Technical Information Report Number: 897275
  • Archival Resource Key: ark:/67531/metadc887549

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  • July 1, 2006

Added to The UNT Digital Library

  • Sept. 22, 2016, 2:13 a.m.

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  • Nov. 23, 2016, 3:11 p.m.

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Minakata, H.; U., /Tokyo Metropolitan; Nunokawa, H.; /Rio de Janeiro, Pont. U. Catol.; Parke, S.J.; /Fermilab et al. Determining neutrino mass hierarchy by precision measurements in electron and muon neutrino disappearance experiments, article, July 1, 2006; Batavia, Illinois. (https://digital.library.unt.edu/ark:/67531/metadc887549/: accessed May 23, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.