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Modern analytic methods for computin...

Zoia, Simone.

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Modern analytic methods for computing scattering amplitudes = with application to two-loop five-particle processes /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Modern analytic methods for computing scattering amplitudes/ by Simone Zoia.
Reminder of title:	with application to two-loop five-particle processes /
Author:	Zoia, Simone.
Published:	Cham :Springer International Publishing : : 2022.,
Description:	xv, 207 p. :ill. (some col.), digital ;24 cm.
Notes:	"Doctoral thesis accepted by Ludwig-Maximilians-Universitat Munchen, Germany."
[NT 15003449]:	Introduction -- Scattering Amplitudes -- The Art of Integrating by Differentiating -- Two-Loop Five-Article Scattering Amplitudes.
Contained By:	Springer Nature eBook
Subject:	Scattering amplitude (Nuclear physics) -
Online resource:	https://doi.org/10.1007/978-3-031-01945-6
ISBN:	9783031019456

Modern analytic methods for computing scattering amplitudes = with application to two-loop five-particle processes /
Zoia, Simone.

Modern analytic methods for computing scattering amplitudeswith application to two-loop five-particle processes /[electronic resource] :by Simone Zoia. - Cham :Springer International Publishing :2022. - xv, 207 p. :ill. (some col.), digital ;24 cm. - Springer theses,2190-5061. - Springer theses..

"Doctoral thesis accepted by Ludwig-Maximilians-Universitat Munchen, Germany."

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

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.

ISBN: 9783031019456

Standard No.: 10.1007/978-3-031-01945-6doiSubjects--Topical Terms:

2056295
Scattering amplitude (Nuclear physics)

LC Class. No.: QC794.6.S3 / Z65 2022

Dewey Class. No.: 539.758

Modern analytic methods for computing scattering amplitudes = with application to two-loop five-particle processes /
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505 0 $a Introduction -- Scattering Amplitudes -- The Art of Integrating by Differentiating -- Two-Loop Five-Article Scattering Amplitudes.
520 $a 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.
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