Modern analytic methods for computing scattering amplitudes: with application to two-loop five-particle processes
by ZOIA, SIMONE
This work presents some essential techniques that constitute the modern strategy for computing scattering amplitudes. It begins with an introductory chapter to fill the gap between a standard QFT course and the latest developments in the field. The author then tackles the main bottleneck: the computation of the loop Feynman integrals. The most efficient technique for their computation is the method of the differential equations. This is discussed in detail, with a particular focus on the mathem…
Read More ↓Title Statements
- Full title :Modern analytic methods for computing scattering amplitudes : with application to two-loop five-particle processes / Simone Zoia.
Summary
This work presents some essential techniques that constitute the modern strategy for computing scattering amplitudes. It begins with an introductory chapter to fill the gap between a standard QFT course and the latest developments in the field. The author then tackles the main bottleneck: the computation of the loop Feynman integrals. The most efficient technique for their computation is the method of the differential equations. This is discussed in detail, with a particular focus on the mathematical aspects involved in the derivation of the differential equations and their solution. Ample space is devoted to the special functions arising from the differential equations, to their analytic properties, and to the mathematical techniques which allow us to handle them systematically. The thesis also addresses the application of these techniques to a cutting-edge problem of importance for the physics programme of the Large Hadron Collider: five-particle amplitudes at two-loop order. It presents the first analytic results for complete two-loop five-particle amplitudes, in supersymmetric theories and QCD. The techniques discussed here open the door to precision phenomenology for processes of phenomenological interest, such as three-photon, three-jet, and di-photon + jet production.sses of phenomenological interest, such as three-photon, three-jet, and di-photon + jet production.
Read More ↓Edition Statements
- Publication Date:©2022
Publication Statements
- Publisher(s):Springer
- Place of Publication:Cham
- Language:eng
- Publication Date:©2022
Notes
"Doctoral thesis accepted by Ludwig-Maximilians-Universität München, Germany."
The Physical Object
- Description:1 online resource : : illustrations (some color).
Edition Identifiers
- ISBN:9783031019456, 3031019458
- DOI:10.1007/978-3-031-01945-6
- oclc:on1319198304
- LC Classification:QC794.6.S3
- Dewey Decimal:539.7/58
Table of Contents
Introduction -- Scattering Amplitudes -- The Art of Integrating by Differentiating -- Two-Loop Five-Article Scattering Amplitudes.
Read More ↓Subjects
Writers
More from this Series
No reviews yet. Be the first to rate this work.
Related Works
more →
Grassmannian geometry of scattering amplitudes
Grassmannian geometry of scattering amplitudes
Rate & Review