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Exact series solution to the two flavor neutrino oscillation problem in matter
KTH, Superseded Departments, Physics.ORCID iD: 0000-0001-5948-9152
KTH, Superseded Departments, Physics.ORCID iD: 0000-0002-3525-8349
2004 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 45, no 11, 4053-4063 p.Article in journal (Refereed) Published
Abstract [en]

In this paper, we present a real nonlinear differential equation for the two flavor neutrino oscillation problem in matter with an arbitrary density profile. We also present an exact series solution to this nonlinear differential equation. In addition, we investigate numerically the convergence of this solution for different matter density profiles such as constant and linear profiles as well as the Preliminary Reference Earth Model describing the Earth's matter density profile. Finally, we discuss other methods used for solving the neutrino flavor evolution problem.

Place, publisher, year, edition, pages
American Institute of Physics , 2004. Vol. 45, no 11, 4053-4063 p.
Keyword [en]
neutrino oscillations, flavour model, nonlinear differential equations, Earth, convergence of numerical methods
National Category
Subatomic Physics
Identifiers
URN: urn:nbn:se:kth:diva-7245DOI: 10.1063/1.1793330ISI: 000224945900005ScopusID: 2-s2.0-22544485995OAI: oai:DiVA.org:kth-7245DiVA: diva2:12200
Funder
Swedish Research Council, 621-2001-1611Swedish Research Council, 621-2002-3577
Note
QC 20100630 QC 20110915Available from: 2011-06-17 Created: 2007-05-31 Last updated: 2011-09-15Bibliographically approved
In thesis
1. Theoretical and Phenomenological Studies of Neutrino Physics
Open this publication in new window or tab >>Theoretical and Phenomenological Studies of Neutrino Physics
2007 (English)Doctoral thesis, comprehensive summary (Other scientific)
Abstract [en]

This thesis is devoted to the theory and phenomenology of neutrino physics. While the standard model of particle physics has been extremely successful, it fails to account for massive neutrinos, which are necessary to describe the observations of neutrino oscillations made by several different experiments. Thus, neutrino physics is a possible window for exploring the physics beyond the standard model, making it both interesting and important for our fundamental understanding of Nature.

Throughout this thesis, we will discuss different aspects of neutrino physics, ranging from taking all three types of neutrinos into account in neutrino oscillation experiments to exploring the possibilities of neutrino mass models to produce a viable source of the baryon asymmetry of the Universe. The emphasis of the thesis is on neutrino oscillations which, given their implication of neutrino masses, is a phenomenon where other results that are not describable in the standard model could be found, such as new interactions between neutrinos and fermions.

Place, publisher, year, edition, pages
Stockholm: Teoretisk fysik, 2007. xii, 102, [7] p.
Series
Trita-FYS, ISSN 0280-316X ; 2007:31
Keyword
neutrino mass, neutrino mixing, neutrino oscillations, matter effects, non-standard effects, the day-night effect, solar neutrinos, accelerator neutrinos, exact solutions, three-flavor effects, large density, neutrino decay, neutrino decoherence, neutrino absorption, non-standard neutrino interactions, seesaw mechanism, stability criteria, leptogenesis
National Category
Physical Sciences
Identifiers
urn:nbn:se:kth:diva-4415 (URN)978-91-7178-646-3 (ISBN)
Public defence
2007-06-11, Oskar Kleins auditorium (FR4), Huvudbyggnaden, AlbaNova, Roslagstullsbacken 21, Stockholm, 10:00
Opponent
Supervisors
Note
QC 20100630Available from: 2007-05-31 Created: 2007-05-31 Last updated: 2010-06-30Bibliographically approved
2. Matter and damping effects in neutrino mixing and oscillations
Open this publication in new window or tab >>Matter and damping effects in neutrino mixing and oscillations
2005 (English)Licentiate thesis, comprehensive summary (Other scientific)
Abstract [en]

This thesis is devoted to the study of neutrino physics in general and the study of neutrino mixing and oscillations in particular. In the standard model of particle physics, neutrinos are massless, and as a result, they do not mix or oscillate. However, many experimental results now seem to give evidence for neutrino oscillations, and thus, the standard model has to be extended in order to incorporate neutrino masses and mixing among different neutrino flavors.

When neutrinos propagate through matter, the neutrino mixing, and thus, also the neutrino oscillations, may be significantly altered. While the matter effects may be easily studied in a framework with only two neutrino flavors and constant matter density, we know that there exists (at least) three neutrino flavors and that the matter density of the Universe is far from constant. This thesis includes studies of three-flavor effects and a solution to the two-flavor neutrino oscillation problem in matter with an arbitrary density profile.

Furthermore, there have historically been attempts to describe the neutrino flavor transitions by other effects than neutrino oscillations. Even if these effects now seem to be disfavored as the leading mechanism, they may still give small corrections to the neutrino oscillation formulas. These effects may lead to erroneous determination of the fundamental neutrino oscillation parameters and are also studied in this thesis in form of damping factors.

Place, publisher, year, edition, pages
Stockholm: KTH, 2005. x, 57 p.
Series
Trita-FYS, ISSN 0280-316X ; 2005:21
Keyword
Engineering physics, Neutrino oscillations, neutrino mixing, matter effects, damping effects, the day-night effect, solar neutrinos, Teknisk fysik
National Category
Other Engineering and Technologies
Identifiers
urn:nbn:se:kth:diva-301 (URN)91-7178-016-5 (ISBN)
Supervisors
Note
QC 20101124Available from: 2005-07-15 Created: 2005-07-15 Last updated: 2011-12-09Bibliographically approved

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Publisher's full textScopusJournal of Mathematical Physicshttp://arxiv.org/abs/hep-ph/0405033/

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