@article {40059,
	title = {Implications of a PeV neutrino spectral cut-off in gamma-ray burst models},
	volume = {445},
	year = {2014},
	month = {2014/11/1},
	pages = {570 - 580},
	publisher = {OUP},
	abstract = {The recent discovery of extragalactic PeV neutrinos opens a new window to the exploration of cosmic ray accelerators. The observed PeV neutrino flux is close to the Waxman-Bahcall upper bound implying that gamma-ray bursts (GRBs) may be the source of ultrahigh energy cosmic rays (UHECRs). Starting with the assumption of the GRB-UHECR connection, we show using both analytical estimates and numerical simulations that the observed neutrinos can originate at the jet as a result of photopion interactions with the following implications: the neutrino spectra are predicted to have a cut-off at energy ≲10 PeV; the dissipation responsible for the GRB emission and cosmic ray acceleration takes place at distances r<SUB>diss</SUB> ≃ 3 {\texttimes} 10<SUP>11</SUP>-3 {\texttimes} 10<SUP>13</SUP> cm from the central engine; the Thomson optical depth at the dissipation region is τ<SUB>T</SUB> \~{} 1; the jet carries a substantial fraction of its energy in the form of Poynting flux at the dissipation region, and has a Lorentz factor Γ ≃ 100-500. The non-detection of PeV neutrinos coincident with GRBs will indicate that GRBs are either poor cosmic accelerators or the dissipation takes place at small optical depths in the jet.},
	keywords = {Astrophysics - High Energy Astrophysical Phenomena, gamma-ray burst: general, neutrinos, radiation mechanisms: non-thermal},
	isbn = {0035-8711},
	url = {https://ui.adsabs.harvard.edu/abs/2014MNRAS.445..570P},
	author = {Petropoulou, M. and Giannios, D. and Dimitrakoudis, S.}
}
