Complementarity Between Hyperkamiokande and DUNE in Determining Neutrino Oscillation Parameters

In this work we investigate the sensitivity to the neutrino mass hierarchy, the octant of the mixing angle $\theta_{23}$ and the CP phase $\delta_{CP}$ in the future long-baseline experiments T2HK and DUNE as well as in the atmospheric neutrino observation at Hyperkamiokande (HK). We show for the first time that the sensitivity is enhanced greatly if we combine these three experiments. Our results show that the hierarchy sensitivity of both T2HK and HK are limited due to the presence of parameter degeneracy. But this degeneracy is removed when T2HK and HK are added together. With T2HK+HK (DUNE), the neutrino mass hierarchy can be determined at least at $5 \sigma$ (8 $\sigma$) C.L. for any value of true $\delta_{CP}$. With T2HK+HK+DUNE the significance of the mass hierarchy increases to almost 15 $\sigma$ for the unfavorable value of $\delta_{CP}$. For these combined setup, octant can be resolved except $43.5^\circ < \theta_{23} < 48^\circ$ at $5\sigma$ C.L for both the hierarchies irrespective of the value of $\delta_{CP}$. The significance of CP violation is around 10 $\sigma$ C.L. for $\delta_{CP} \sim \pm 90^\circ$. Apart from that these combined facility has the capability to discover CP violation for at least $68\%$ fraction of the true $\delta_{CP}$ values at $5 \sigma$ for any value of true $\theta_{23}$. We also find that, with combination of all these three, the precision of $\Delta m^2_{{\rm eff}}$, $\sin^2\theta_{23}$ and $\delta_{CP}$ becomes 0.3%, 2% and 20% respectively. We also clarify how the octant degeneracy occurs in the HK atmospheric neutrino experiment.Comment: 28 pages, 11 figures, 2 tables, Version accepted for publication in Nucl. Phys.

A hybrid setup for fundamental unknowns in neutrino oscillations using T2HK (ν\nu) and μ\mu-DAR (νˉ\bar{\nu})

Neutrino mass hierarchy, CP-violation, and octant of $\theta_{23}$ are the fundamental unknowns in neutrino oscillations. In order to address all these three unknowns, we study the physics reach of a setup, where we replace the antineutrino run of T2HK with antineutrinos from muon decay at rest ($\mu$-DAR). This approach has the advantages of having higher statistics in both neutrino and antineutrino modes, and lower beam-on backgrounds for antineutrino run with reduced systematics. We find that a hybrid setup consisting of T2HK ($\nu$) and $\mu$-DAR ($\bar\nu$) in conjunction with full exposure from T2K and NO$\nu$A can resolve the issue of mass hierarchy at greater than 3$\sigma$ C.L. irrespective of the choices of hierarchy, $\delta_{\mathrm{CP}}$, and $\theta_{23}$. This hybrid setup can also establish the CP-violation at 5$\sigma$ C.L. for $\sim$ 55% choices of $\delta_{\mathrm{CP}}$, whereas the same for conventional T2HK ($\nu + \bar\nu$) setup along with T2K and NO$\nu$A is around 30%. As far as the octant of $\theta_{23}$ is concerned, this hybrid setup can exclude the wrong octant at 5$\sigma$ C.L. if $\theta_{23}$ is at least $3^{\circ}$ away from maximal mixing for any $\delta_{\mathrm{CP}}$.Comment: 18 pages, 28 pdf figures, 1 table. Minor changes in the text. A new footnote added. Accepted in JHE