Modern Analytic Methods for Computing Scattering Amplitudes - Simone Zoia

Modern Analytic Methods for Computing Scattering Amplitudes

With Application to Two-Loop Five-Particle Processes

(Autor)

Buch | Softcover
XV, 207 Seiten
2023 | 1st ed. 2022
Springer International Publishing (Verlag)
978-3-031-01947-0 (ISBN)
181,89 inkl. MwSt

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-looporder. 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.


lt;p>Dr. Simone Zoia received his doctorate in physics from Ludwig Maximilians University Munich in 2021, after carrying out research at Mainz University and the Max Planck Institute for Physics. Currently he holds a post-doctoral position at the University of Turin.

Introduction.- Scattering Amplitudes.- The Art of Integrating by Differentiating.- Two-Loop Five-Article Scattering Amplitudes.

Erscheinungsdatum
Reihe/Serie Springer Theses
Zusatzinfo XV, 207 p. 14 illus., 1 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 349 g
Themenwelt Naturwissenschaften Physik / Astronomie Atom- / Kern- / Molekularphysik
Naturwissenschaften Physik / Astronomie Hochenergiephysik / Teilchenphysik
Naturwissenschaften Physik / Astronomie Theoretische Physik
Schlagworte Differential Equations • Feynman diagrams • Feynman integrals • Loop Integrals • Multiple Polylogarithms • Quantum chromodynamics (QCD) • Quantum Field Theory (QFT) • scattering amplitudes • Special Functions • Yang-Mills Theory
ISBN-10 3-031-01947-4 / 3031019474
ISBN-13 978-3-031-01947-0 / 9783031019470
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich
Grundlagen und Anwendungen

von Reinhold Kleiner; Werner Buckel

Buch | Softcover (2024)
Wiley-VCH (Verlag)
79,90