Can Lorentz invariance violation affect the sensitivity of deep underground neutrino experiment?
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Regular Article - Theoretical Physics
Can Lorentz invariance violation affect the sensitivity of deep underground neutrino experiment? Sanjib Kumar Agarwalla1,2,3,a , Mehedi Masud1,4,b 1
Institute of Physics, Sachivalaya Marg, Sainik School Post, Bhubaneswar 751005, India 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
2
Received: 15 February 2020 / Accepted: 30 July 2020 © The Author(s) 2020
Abstract We examine the impact of Lorentz Invariance Violation (LIV) in measuring the octant of θ23 and CP phases in the context of the Deep Underground Neutrino Experiment (DUNE). We consider the CPT-violating LIV parameters involving e−μ (aeμ ) and e−τ (aeτ ) flavors, which induce an additional interference term in neutrino and antineutrino appearance probabilities. This new interference term depends on both the standard CP phase δ and the new dynamical CP phase ϕeμ /ϕeτ , giving rise to new degeneracies among (θ23 , δ, ϕ). Taking one LIV parameter at-a-time and considering a small value of |aeμ | = |aeτ | = 5 × 10−24 GeV, we find that the octant discovery potential of DUNE gets substantially deteriorated for unfavorable combinations of δ and ϕeμ /ϕeτ . The octant of θ23 can only be resolved at 3σ if the true value of sin2 θ23 0.42 or 0.62 for any choices of δ and ϕ. Interestingly, we also observe that when both the LIV parameters aeμ and aeτ 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 δ and ϕeμ /ϕeτ . The typical 1σ uncertainty on δ is 10–15◦ and the same on ϕeμ /ϕeτ is 25–30◦ depending on the choices of their true values.
(3ν) mixing paradigm that govern the oscillation phenomena: (a) three leptonic mixing angles (θ12 , θ13 , θ23 ), (b) one Dirac CP phase (δ), and c) two distinct mass-squared splittings1 (m 221 , m 232 ). After establishing the phenomena of neutrino oscillation conclusively, neutrino physics has now entered into the precision era with an aim to address the following three fundamental pressing issues at unprecedented confidence level. • Determining the value of charge-parity (CP) violating phase δ – where establishing a value differing from both zero and π would symbolize the discovery of CPviolation (CPV) in the leptonic sector. • Settling the pattern of neutrino masses. The present oscillation data cannot resolve whether m 231 (≡ m 23 − m 21 ) is positive or negative. It allows us to arrange the neutrino masses in two different fashions: m 3 > m 2 > m 1 , called normal ordering (NO) where m 231 is positive and m 2 > m 1 > m 3 , known as inverted ordering (IO) where m 231 is negative. • Precise measurement of the mixing
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