Hualong Gervais

Type

Text

Type

Dissertation

Advisor

Sterman, George. | van Nieuwenhuizen, Peter | Tsybychev, Dmitri | Soni, Amarjit.

Date

2017-08-01

Keywords

Amplitude | Physics | Graviton | Infrared | Photon | Quantum field theory | Soft theorem

Department

Department of Physics.

Language

en_US

Source

This work is sponsored by the Stony Brook University Graduate School in compliance with the requirements for completion of degree

Identifier

http://hdl.handle.net/11401/78132

Publisher

The Graduate School, Stony Brook University: Stony Brook, NY.

Format

application/pdf

Abstract

We study the emission of soft photons and soft gravitons coupling to high energy fixed angle scattering processes at first order in the electromagnetic coupling and in Newton's constant, respectively, but to all loop orders in a class of theories without soft divergences, including massive and massless Yukawa and scalar theories. We adapt a method introduced by del Duca for quantum electrodynamics to show that subleading corrections to the soft photon and soft graviton theorems are sensitive to the structure of nonleading external jets of collinear lines. Our techniques are based on a power counting analysis of loop integrals, an application of jet Ward identities, and hard-soft-collinear factorization. We also apply Grammer and Yennie's decomposition to isolate separately gauge invariant contributions to the soft expansion. These are interpreted as infrared sensitive matrix elements coupling to a field strength tensor in the case of photons, and to the linearized Riemann curvature tensor in the case of gravitons. | 99 pages

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