Regge behavior in effective field theory
John F. Donoghue, Basem Kamal El-Menoufi, Grigory Ovanesyan
TL;DR
This paper derives the Regge behavior in scalar field theory's forward scattering amplitude using the method of regions, emphasizing the importance of mode overlaps and SCET_G modes for accurate results.
Contribution
It presents a systematic derivation of all-order Regge behavior in scalar field theory by employing the method of regions with a focus on mode overlaps and SCET_G modes.
Findings
Regge behavior can be derived to all orders in scalar field theory.
Overlap regions of modes are crucial for accurate Regge physics.
Using collinear, anti-collinear, and Glauber modes yields consistent results.
Abstract
We derive the Regge behavior for the forward scattering amplitude in scalar field theory using the method of regions. We find that the leading Regge behavior to all orders can be obtained. Regge physics emerges from a kinematic region that involves the overlap of several modes, so that a careful treatment of the overlap regions is important. The most consistent and efficient approach utilizes graphs containing collinear, anti-collinear and Glauber modes, or modes of SCET_G
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