Exploring Long-Range Interactions of L_μ-L_τ symmetry at INO-ICAL

In a minimal extension of the Standard Model with abelian $U(1)'$, there exists a flavor-dependent long-range leptonic force mediated by an ultralight and neutral gauge boson $Z'$ associated with L_μ -L_τ symmetry. We study the impacts of such long-range force in the oscillation of atmospheric neutrinos assuming $Z-Z'$ mixing. We show that the proposed atmospheric neutrino detector ICAL will be able to put tight constraints on such long-range force due to its capabilities of detecting neutrino and antineutrino separately with wide ranges of energies and baselines. The expected upper limit on the parameter of this long-range force at 3σ is 2.82× 10⁻⁵¹ using 500 kton·year exposure of ICAL. }