Extra dip in ultrahigh energy neutrino spectrum from generalized uncertainty principle
J. Barranco, Emiliano Durán
TL;DR
This work investigates resonant active-sterile neutrino oscillations driven by a dark-matter potential in the galactic halo, augmented by a generalized uncertainty principle (GUP). The authors derive a modified dispersion relation $E^2\simeq p^2(1-2\beta p^2)+m^2$ and an effective Hamiltonian $H_{eff}$ that includes the DM potential $V_{int}$ and a kinetic factor $\frac{1}{2E\sqrt{1-2\beta E^2}}$, leading to a flavor survival probability $P_{\nu_\alpha\rightarrow\nu_s}$ with a GUP-dependent resonance term. They show that, beyond the standard resonance at $\beta=0$, the GUP yields a second resonance at higher energy by solving $\Delta m^2\cos(2\theta_0)=2E\sqrt{1-2\beta E^2}G_F|\varepsilon|N_\chi$, producing a second dip in the ultrahigh-energy (UHE) neutrino flux that could be observed with future data. This work thus links quantum gravity phenomenology with high-energy neutrino astrophysics and proposes a concrete observable signature in UHE neutrino spectra.
Abstract
We revisited the scenario of a resonant enhancement in the oscillation probability due to an interaction potential between neutrinos and dark matter with the novelty of the inclusion of the generalized uncertainty principle. It is shown that a new resonant conversion appears at higher energies. This effect could be tested with future neutrino data as new dips in the ultrahigh energy neutrino flux.