Abstract
S-matrix elements exhibit universal factorization when multiple infrared photons are emitted in scattering processes. We explicitly show that the leading soft factorization of tree-level amplitudes with the emission of any number of soft photons can be interpreted as the Ward identity of the asymptotic symmetry of gauge theory.
Highlights
Understanding the factorization property of scattering amplitudes in various special kinematics, such as soft, collinear and Regge limits, plays an important role in both making precision predictions for physical observables and revealing the hidden structure of quantum field theory
We explicitly show that the leading soft factorization of tree-level amplitudes with the emission of any number of soft photons can be interpreted as the Ward identity of the asymptotic symmetry of gauge theory
The large gauge transformations of electromagnetism and non-Abelian gauge theory are behind the soft photon theorem [13] and the soft gluon theorem [14, 15]
Summary
Understanding the factorization property of scattering amplitudes in various special kinematics, such as soft, collinear and Regge limits, plays an important role in both making precision predictions for physical observables and revealing the hidden structure of quantum field theory. The constraints on emission of soft gravitons come from the supertranslation [16], the Abelian ideal part of the Bondi-Metzner-Sachs (BMS) transformations [17,18,19]. More details on this connection can be found in the review [20]. The purpose of this work is to extend the relationship between asymptotic symmetries and soft theorems to any multiplicity for soft particles. We extend the mysterious relation between the single soft photon theorem and the large gauge transformations of electromagnetism to any number of soft photons
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
