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Modern Analytic Methods for Computing Scattering Amplitudes: With Application to Two-Loop Five-Particle Processes
Modern Analytic Methods for Computing Scattering Amplitudes: With Application to Two-Loop Five-Particle Processes
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Excellent- More about Modern Analytic Methods for Computing Scattering Amplitudes: With Application to Two-Loop Five-Particle Processes
The thesis presents essential techniques for computing scattering amplitudes, focusing on the computation of loop Feynman integrals using differential equations and their application to five-particle amplitudes at two-loop order. These techniques open the door to precision phenomenology for processes of phenomenological interest.
Format: Hardback
Length: 207 pages
Publication date: 19 May 2022
Publisher: Springer International Publishing AG
This work presents a comprehensive strategy for computing scattering amplitudes in modern physics. It begins with an introductory chapter to bridge the gap between a standard quantum field theory course and the latest developments in the field. The author then delves into the primary challenge: the computation of loop Feynman integrals. The most efficient method for achieving this is through the differential equations approach. This method is discussed in detail, with a particular focus on the mathematical aspects involved in deriving the differential equations and their solution.
Ample space is dedicated to exploring the special functions that arise from these differential equations, their analytic properties, and the mathematical techniques that enable systematic handling.
Furthermore, the thesis addresses the application of these techniques to a cutting-edge problem of significant importance for the Large Hadron Collider's physics program: 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 herein lay the foundation for precision phenomenology, enabling the study of processes of interest, such as three-photon, three-jet, and di-photon + jet production.
By employing these advanced techniques, physicists can gain a deeper understanding of fundamental interactions and explore the intricate nature of the universe with greater precision. This work represents a significant contribution to the field of quantum field theory and has the potential to open up new avenues for research and discovery.
Weight: 506g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031019449
Edition number: 1st ed. 2022
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