Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-12-13
Physics
High Energy Physics
High Energy Physics - Phenomenology
13 pages, 1 figure
Scientific paper
We compute various processes involving neutrinos in the initial and/or final state and we assume that neutrinos have energy momentum relation with a general power law $p^n$ correction due to Lorentz invariance violation. We find that the path length for the fermion pair emission process has a decay length significantly larger (for average neutrino energies $\sim 20$ GeV) than the CERN-Gran Sasso path length for $n \geq 4$ . However neutrinos in the 40 GeV energy range will be depleted by the fermion emission process unless $n \geq 6$. We also calculate the decay length for charged pion and find that the pion decay length decreases for all $n\geq 2$, and the decay length of 100 GeV pions increases by 55% for $n = 4$ and by 36% for $n=6$. We conclude that a Lorentz violating interaction with a $p^n$ correction with $n\geq 6$ to the neutrino dispersion relation, can explain the superluminality observed at OPERA and is consistent with constraints from pion decay.
Mohanty Subhendra
Rao Soumya
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