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Series expansions for three-flavor neutrino oscillation probabilities in matter
KTH, Superseded Departments, Physics.
KTH, Superseded Departments, Physics.ORCID iD: 0000-0002-3525-8349
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2004 (English)In: Journal of High Energy Physics (JHEP), ISSN 1029-8479, E-ISSN 1126-6708, Vol. 2004, no 04, 078- p.Article in journal (Refereed) Published
Abstract [en]

We present a number of complete sets of series expansion formulas for neutrino oscillation probabilities in matter of constant density for three flavors. In particular, we study expansions in the mass hierarchy parameter alpha = Deltam(21)(2)/Deltam(31)(2) and mixing parameter s(13) = sin theta(13) up to second order and expansions only in alpha and only in s(13) up to first order. For each type of expansion we also present the corresponding formulas for neutrino oscillations in vacuum. We perform a detailed analysis of the accuracy of the different sets of series expansion formulas and investigate which type of expansion is most accurate in different regions of the parameter space spanned by the neutrino energy E, the baseline length L, and the expansion parameters alpha and s(13). We also present the formulas for series expansions in alpha and in s(13) up to first order for the case of arbitrary matter density profiles. Furthermore, it is shown that in general all the 18 neutrino and antineutrino oscillation probabilities can be expressed through just two independent probabilities.

Place, publisher, year, edition, pages
IOP Publishing , 2004. Vol. 2004, no 04, 078- p.
Keyword [en]
solar and atmospheric neutrinos, neutrino physics, long-base-line, 3-neutrino oscillations, atmospheric neutrinos, CP-violation, Super-Kamiokande, parametric resonance, earth density, 3 flavors, formulation, flux
National Category
Subatomic Physics
URN: urn:nbn:se:kth:diva-23592DOI: 10.1088/1126-6708/2004/04/078ISI: 000222814600078ScopusID: 2-s2.0-23044473810OAI: diva2:342291
Swedish Research Council, 621-2001-1611Swedish Research Council, 621-2002-3577
QC 20100525 QC 20111028Available from: 2011-06-21 Created: 2010-08-10 Last updated: 2012-02-06Bibliographically approved

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