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“Estimation of the probability of observing a gamma-ray flare based on the analysis of the Fermi data”. Student: Matteo Palermo Supervisors: Elisa Bernardini Jose Luis Bazo Alba. Cosmic rays.
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“Estimation of the probability of observing a gamma-ray flare based on the analysis of the Fermi data” Student: Matteo Palermo Supervisors: Elisa Bernardini Jose Luis Bazo Alba Matteo Palermo
Cosmic rays • Cosmic Rays: Energetic particles (mainly protons) which energy spectrum extends several orders of magnitude. Usually are divided in: • Neutrinos • Charged particles • Gamma Rays Multi-messenger Astronomy: correlation studies between these 3 kinds of particles in CR • They can travel for long distances without any deflection • Direction’s info, but attenuation problems ( 0.5 MeV - 100 TeV) • No charge and interact only via the weak force • Small attenuation and direction’s info ( E > 10 GeV ) Protons, electrons and ionized nuclei. Because of their charge their path is changed by the magnetic field NO info about the direction of the source Matteo Palermo
Multi-messenger Astronomy • A time dependent OFFLINE analysis using photon and neutrino data enhances the discovery probability by profiting from the photon-neutrino correlation. • PROBLEM: many gamma-ray telescopes have a small field of view, thus they canNOT look at a wide region of sources at the same time (neutrino detectors can look at the entire sky) . Moreover they areNOTtaking dataCONTINUOUSLY! • for many sources there might be missing photon data, so NO offline analysis SOLUTION: ONLINE ANALYSIS! Matteo Palermo
NToO(Neutrino Triggered Target of Opportunity) • Once combined observations have been performed • it’s necessary to estimate the overall probability of RANDOM positive detection • this can be done by calculating the following quantity: A L E R T Probability of observing at least Nobs alerts above the THR & detecting at least Ncoinc gamma ray flares Matteo Palermo
The Fermi experiment • it’s not possible to use IACTs (Imaging Atmospheric Cherenkov Telescopes) data to well estimate Pgam • Why Fermi? Because Fermi is a satellite telescope which energy range is close to MAGIC’s , has a larger field of view than IACTs and is taking data CONTINOUSLY • performances: • energy range 30 MeV – 300 GeV • angular resolution 0.15, 0.9 and 3.5° @ 10, 1 and 0.1 GeV respectively • 30 minutes of lifetime for each point in the sky (every 3 hours) Matteo Palermo
Analysis The basic idea to estimate this probability: • Use Fermi data to calculate the Light Curve for a long period (e.g. 2 year) • LC: graph which shows the light intensity over a period of time • selection in energy and direction, bin size = 1 day • Set a threshold in order to define what is a flare and what is not • the estimation of the probability will be roughly 3C 273 THR Matteo Palermo
Threshold 2. Gaussian fit of the log(flux) distribution: using this fit mode to compare with the previous one since the results should be the same • I took the Flux distribution from the Light Curve, which is simply the projection on the flux axis (marginal probability density function for the flux) 3.Gaussian fit of the peak of the flux distribution (excluding the tail):this fit should be worse than the other two • lognormal fit: the variations in the flux are found to have a lognormal distribution Matteo Palermo
The cumulative approach Once we defined the threshold we computed the Pgam by evaluating the cumulative of the flux distribution, actually In practice we integrated the resulting function from the lognormal fit. Gauss Lognormal Gauss log(flux) Matteo Palermo
Sources • Criteria used to select these sources: • they have been classified as variable in the Fermi/LAT bright source catalog • they should have been observed in TeV scale • they are monitored by MAGIC Matteo Palermo
Energy ranges • We did the same analysis for two different energy ranges, namely: • from 100 MeV to 300 GeV • from 1 GeV to 300 GeV in order to answer to the following question: is the Pgam still the same in the TeV scale (MAGIC range)? The idea is that if the Pgam does NOT change it is likely that it will NOT change even in the TeV scale Matteo Palermo
Results Matteo Palermo
Improvements • evaluate the errors for the mean and the variance (thus for the Pgam) for the lognormal and log(flux) fit mode • re-do the same analysis but with the energy ranges completely separated • define properly the confidence level for each results • evaluate the actual spectral index for each source and re-do the analysis (so far to evaluate the exposure we used the same spectral index for all the sources) Matteo Palermo
Thanks for the attention Matteo Palermo
NToO(Neutrino Triggered Target of Opportunity) • e-mail from the South Pole to Madison (USA), using IRIDIUM SATELLITE (24/7) • Chek for the visibility of that source from MAGIC, if so • Regular e-mail to MAGIC to the “shifter” in La Palma • If possible, focus on it • FUTURE: automatic procedure is under development Matteo Palermo