Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-02-17
JHEP0404:078,2004
Physics
High Energy Physics
High Energy Physics - Phenomenology
36 pages, 7 figures, minor improvements, typos in Eqs. (58) and (59) corrected, version published in JHEP
Scientific paper
10.1088/1126-6708/2004/04/078
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 $\alpha \equiv \Delta m_{21}^2/\Delta m_{31}^2$ and mixing parameter $s_{13} \equiv \sin \theta_{13}$ 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 probabilites.
Akhmedov Eugene Kh.
Johansson Robert
Lindner Manfred
Ohlsson Tommy
Schwetz Thomas
No associations
LandOfFree
Series expansions for three-flavor neutrino oscillation probabilities in matter does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Series expansions for three-flavor neutrino oscillation probabilities in matter, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Series expansions for three-flavor neutrino oscillation probabilities in matter will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-180840