Differential dispersion relations with an arbitrary number of subtractions: a recursive approach

TL;DR

This paper introduces a recursive method to generalize derivative dispersion relations for any number of subtractions, ensuring theoretical consistency at high energies and small momentum transfer.

Contribution

It presents a novel recursive approach to extend dispersion relations to arbitrary subtractions, applicable to both even and odd amplitudes.

Findings

The generalized relations are consistent at high energies.

Applicable to small momentum transfer regions.

Works for both cross even and odd amplitudes.

Abstract

Making use of a recursive approach, derivative dispersion relations are generalized for an arbitrary number of subtractions. The results for both cross even and odd amplitudes are theoretically consistent at sufficiently high energies and in the region of small momentum transfer.