Search for time-independent Lorentz violation using muon neutrino to muon antineutrino transitions in MINOS

Data from the MINOSexperiment has been used to search for mixing between muon neutrinosand muon antineutrinos using a time-independent Lorentz-violating formalism derivedfrom the Standard-Model Extension(SME). MINOSis uniquely capable of searching for muon neutrino-antineutrino mixing given its long baseline and ability to distinguish between neutrinos and antineutrinos on an event-by-event basis. Neutrino and antineutrino interactions were observed in the MINOSNear and Far Detectors from an exposure of 10.56$\times10^{20}$ protons-on-target from the NuMIneutrino-optimized beam. No evidence was found for such transitions and new, highly stringent limits were placed on the SME coefficients governing them. We place the first limits on the SME parameters $(c_{L})^{TT}_{\mu\mu} $ and $(c_{L})^{TT}_{\tau\tau}$ at $-8.4\times10^{-23} < (c_{L})^{TT}_{\mu\mu} < 8.0\times10^{-23}$ and $-8.0\times10^{-23} < (c_{L})^{TT}_{\tau\tau} < 8.4\times10^{-23}$, and the world's best limits on the $\ tilde{g}^{ZT}_{\mu\ overline{\mu}}$ and $\ tilde{g}^{ZT}_{\tau\ overline{\tau}}$ parameters at $|\ tilde{g}^{ZT}_{\mu\ overline{\mu}}| < 3.3\times 10^{-23}$ and $|\ tilde{g}^{ZT}_{\tau\ overline{\tau}}| < 3.3\times 10^{-23}$, all limits quoted at $3\sigma$.