Ultra-high-energy neutrino scattering in an anomalous U(1) effective field theory

Understand

A unique characteristic of exponentially growing scattering amplitude arises in an anomalous Abelian effective field theory when an extremely light Dirac neutrino mass is introduced to break the symmetry.

• We show that the low energy effective Lagrangian can be made explicitly gauge invariant with the help of a nonlinear representation of the Goldstone or Stueckelberg field.
• We study the peculiar feature of exponential growth in the ultra-high-energy neutrino-nucleon inelastic scattering.
• It is found that the inelastic scattering cross section is highly sensitive to the ratio of gauge coupling to the gauge boson mass, $g_X/m_X$.