Stringent constraint on neutrino Lorentz invariance violation from the two IceCube PeV neutrinos
Abstract
It has been speculated that Lorentzinvariance violation (LIV) might be generated by quantumgravity (QG) effects. As a consequence, particles may not travel at the universal speed of light. In particular, superluminal extragalactic neutrinos would rapidly lose energy via the bremssthralung of electronpositron pairs (ν→νe^{+}e^{}), damping their initial energy into electromagnetic cascades, a figure constrained by FermiLarge Area Telescope data. We show that the two cascade neutrino events with energies around 1 PeV recently detected by IceCube—if attributed to extragalactic diffuse events, as it appears likely—can place the strongest bound on LIV in the neutrino sector, namely, δ=(v^{2}1)<O(10^{18}), corresponding to a QG scale M_{QG}≳10^{5}M_{Pl} (M_{QG}≳10^{4}M_{Pl}) for a linear (quadratic) LIV, at least for models inducing superluminal neutrino effects (δ>0).
 Publication:

Physical Review D
 Pub Date:
 June 2013
 DOI:
 10.1103/PhysRevD.87.116009
 arXiv:
 arXiv:1303.5843
 Bibcode:
 2013PhRvD..87k6009B
 Keywords:

 95.85.Ry;
 11.30.Cp;
 Neutrino muon pion and other elementary particles;
 cosmic rays;
 Lorentz and Poincare invariance;
 Astrophysics  High Energy Astrophysical Phenomena;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Phenomenology
 EPrint:
 4 pages