The IceCube Collaboration initially reported the detection of 37 extraterrestrial neutrinos in the TeV - PeV energy range .
The reconstructed neutrino events were obtained during three consecutive years of data taking , from 2010 to 2013 .
Although these events have been discussed to have an extragalactic origin , they have not been correlated to any known source .
Recently , the IceCube Collaboration reported a neutrino-induced muon event with energy of 2.6 \pm 0.3 PeV which corresponds to the highest event ever detected .
Neither the reconstructed direction of this event ( J2000.0 ) , detected on June 11 2014 at R.A.=110 ^ { \circ } .34 , Dec.=11 ^ { \circ } .48 matches with any familiar source .
Long gamma-ray bursts ( lGRBs ) are usually associated with the core collapse of massive stars leading relativistic-collimated jets inside stars with high-energy neutrino production .
These neutrinos have been linked to the 37 events previously detected by IceCube experiment .
In this work , we explore the conditions and values of parameters so that the highest neutrino recently detected could be generated by proton-photon and proton-hadron interactions at internal shocks inside lGRB progenitor star and then detected in IceCube experiment .
Considering that internal shocks take place in a relativistic collimated jet , whose ( half ) opening angle is \theta _ { 0 } \sim 0.1 , we found that lGRBs with total luminosity L \lesssim 10 ^ { 48 } erg/s and internal shocks on the surface of progenitors such as Wolf-Rayet ( WR ) and blue super giant ( BSG ) stars favor this multi-PeV neutrino production , although this neutrino could be associated to L \sim 10 ^ { 50.5 } ( \sim 10 ^ { 50 } ) erg/s provided that the internal shocks occur at \sim 10 ^ { 9 } ( \sim 10 ^ { 10.2 } ) cm for a WR ( BSG ) .