Study of core collapse neutrino signals and constraints on neutrino masses from a future Galactic Supernova

Introduction......Page 12
Neutrino fluxes and spectra......Page 18
Fast rising - the shock breakout......Page 19
Flux maximum - accretion, mantle cooling and explosion......Page 20
Analytical flux model......Page 21
Electron neutrinos and antineutrinos......Page 25
Non-electron neutrinos......Page 26
Spectral pinching......Page 27
Hierarchy of average energies......Page 32
Simulation of a supernova neutrino signal......Page 35
Neutrino Oscillations - Basic facts......Page 36
Neutrino Oscillations in the Supernova Mantle......Page 40
Initial conditions......Page 41
Neutrino oscillations in the Earth......Page 45
The neutrino signal formalism......Page 46
Neutrino Detection......Page 47
Characteristics expected for the signal......Page 55
Number of events......Page 56
Time-integrated spectrum......Page 57
Generation of full statistics signals......Page 58
Time-of-flight delay of supernova neutrinos......Page 63
Time spread of the signal......Page 64
Timing events......Page 66
Basic description of method......Page 67
Formalism for the signal analysis......Page 69
Posterior probabilities......Page 71
Best-fit value and neutrino mass limits......Page 72
Neutrino spectrum......Page 75
Flux model......Page 77
LF regularization......Page 82
Likelihood marginalization......Page 88
Description of tests......Page 91
Results of the maximum likelihood analysis......Page 95
Best-fit values and limits on m2......Page 96
Fit to the flux model......Page 101
Quantifying the sensitivity of the method......Page 104
Additional remarks on the method......Page 109
Summary and Conclusions......Page 112
Basic principles......Page 115
Bayes theorem......Page 116
The marginalization procedure......Page 117
Marginalization of a normal pdf......Page 118
Credible regions......Page 119
SUNG: SUpernova Neutrino Generation tool......Page 121
Package structure......Page 122
Manipulation of Supernova simulations......Page 123
Expected signal properties......Page 124
Signal generation......Page 125
List of symbols......Page 127
List of abbreviations......Page 130
References......Page 131