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- W2112312663 abstract "It has been suggested that the interactions of energetic particles with the foamy structure of space-time thought to be generated by quantum-gravitational (QG) effects might violate Lorentz invariance, so that they do not propagate at a universal speed of light. We consider the limits that may be set on a linear or quadratic violation of Lorentz invariance in the propagation of energetic neutrinos, $v/c=[1ifmmodepmelsetextpmfi{}(E/{M}_{ensuremath{nu}mathrm{QG}1})]$ or $[1ifmmodepmelsetextpmfi{}(E/{M}_{ensuremath{nu}mathrm{QG}2}{)}^{2}]$, using data from supernova explosions and the OPERA long-baseline neutrino experiment. Using the SN1987a neutrino data from the Kamioka II, IMB, and Baksan experiments, we set the limits ${M}_{ensuremath{nu}mathrm{QG}1}>2.7(2.5)ifmmodetimeselsetexttimesfi{}{10}^{10}text{ }text{ }mathrm{GeV}$ for subluminal (superluminal) propagation and ${M}_{ensuremath{nu}mathrm{QG}2}>4.6(4.1)ifmmodetimeselsetexttimesfi{}{10}^{4}text{ }text{ }mathrm{GeV}$ at the 95% confidence level. A future galactic supernova at a distance of 10 kpc would have sensitivity to ${M}_{ensuremath{nu}mathrm{QG}1}>2(4)ifmmodetimeselsetexttimesfi{}{10}^{11}text{ }text{ }mathrm{GeV}$ for subluminal (superluminal) propagation and ${M}_{ensuremath{nu}mathrm{QG}2}>2(4)ifmmodetimeselsetexttimesfi{}{10}^{5}text{ }text{ }mathrm{GeV}$. With the current CERN neutrinos to Gran Sasso extraction spill length of $10.5text{ }text{ }ensuremath{mu}mathrm{s}$ and with standard clock synchronization techniques, the sensitivity of the OPERA experiment would reach ${M}_{ensuremath{nu}mathrm{QG}1}ensuremath{sim}7ifmmodetimeselsetexttimesfi{}{10}^{5}text{ }text{ }mathrm{GeV}$ (${M}_{ensuremath{nu}mathrm{QG}2}ensuremath{sim}8ifmmodetimeselsetexttimesfi{}{10}^{3}text{ }text{ }mathrm{GeV}$) after 5 years of nominal running. If the time structure of the super proton synchrotron radio frequency bunches within the extracted CERN neutrinos to Gran Sasso spills could be exploited, these figures would be significantly improved to ${M}_{ensuremath{nu}mathrm{QG}1}ensuremath{sim}5ifmmodetimeselsetexttimesfi{}{10}^{7}text{ }text{ }mathrm{GeV}$ (${M}_{ensuremath{nu}mathrm{QG}2}ensuremath{sim}4ifmmodetimeselsetexttimesfi{}{10}^{4}text{ }text{ }mathrm{GeV}$). These results can be improved further if a similar time resolution can be achieved with neutrino events occurring in the rock upstream of the OPERA detector: we find potential sensitivities to ${M}_{ensuremath{nu}mathrm{QG}1}ensuremath{sim}4ifmmodetimeselsetexttimesfi{}{10}^{8}text{ }text{ }mathrm{GeV}$ and ${M}_{ensuremath{nu}mathrm{QG}2}ensuremath{sim}7ifmmodetimeselsetexttimesfi{}{10}^{5}text{ }text{ }mathrm{GeV}$." @default.
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- W2112312663 date "2008-08-28" @default.
- W2112312663 modified "2023-10-18" @default.
- W2112312663 title "Probes of Lorentz violation in neutrino propagation" @default.
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- W2112312663 doi "https://doi.org/10.1103/physrevd.78.033013" @default.
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