https://doi.org/10.1140/epjc/s10052-020-8303-1
Regular Article - Theoretical Physics
Can Lorentz invariance violation affect the sensitivity of deep underground neutrino experiment?
1
Institute of Physics, Sachivalaya Marg, Sainik School Post, Bhubaneswar, 751005, India
2
Homi Bhabha National Institute, Training School Complex, Anushakti Nagar, Mumbai, 400085, India
3
International Centre for Theoretical Physics, Strada Costiera 11, 34151, Trieste, Italy
4
Astroparticle and High Energy Physics Group, Instituto de Física Corpuscular (CSIC/Universitat de València), Parc Cientific de Paterna. C/Catedratico José Beltrán, 2, 46980, Paterna, València, Spain
* e-mail: sanjib@iopb.res.in
Received:
15
February
2020
Accepted:
30
July
2020
Published online:
9
August
2020
We examine the impact of Lorentz Invariance Violation (LIV) in measuring the octant of 
and CP phases in the context of the Deep Underground Neutrino Experiment (DUNE). We consider the CPT-violating LIV parameters involving 
(
) and 
(
) flavors, which induce an additional interference term in neutrino and antineutrino appearance probabilities. This new interference term depends on both the standard CP phase 
and the new dynamical CP phase 
/
, giving rise to new degeneracies among (, , 
). Taking one LIV parameter at-a-time and considering a small value of 
GeV, we find that the octant discovery potential of DUNE gets substantially deteriorated for unfavorable combinations of and /. The octant of can only be resolved at 
if the true value of 
or 
for any choices of and . Interestingly, we also observe that when both the LIV parameters and are present together, they cancel out the impact of each other to a significant extent, allowing DUNE to largely regain its octant resolution capability. We also reconstruct the CP phases and /. The typical 
uncertainty on is 10–15
and the same on / is 25–30 depending on the choices of their true values.
© The Author(s), 2020
