2025/12/15 by Bellazzini, B., Berman, J., Isabella, G. +3 · 1 citation
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2512.13780
We introduce infrared finite, analytic, crossing symmetric, Regge behaved, and Lorentz invariant amplitudes M_\mathcal E, labeled by the experimental energy resolution E for detecting soft photons and gravitons. For E exponentially smaller than any hard scale, they also satisfy unitarity and their associated cross sections reproduce the inclusive, infrared-finite cross sections of ordinary amplitudes. These properties make ME suitable for deriving infrared-safe positivity bounds on effective field theories in the presence of long-range forces even in D=4. As an illustration, we present explicit bounds in the low-energy theory of pions coupled to electromagnetism and gravity.