Two-loop five-point amplitudes for bosons and partons in QCD

Abstract: In this thesis, we develop and apply methods which allow to compute multi-scale two- loop amplitudes in analytic form. These amplitudes are an important ingredient for precise theoretical predictions for scattering processes at the Large Hadron Collider. We develop new approaches to construct unitarity compatible integration-by-parts relations through generating vectors by using an embedding space formulation of the problem and combining methods from algebraic geometry with linear algebra. With these methods, we obtain relations that can be used to reduce planar and non-planar two-loop amplitudes with up to one external mass to master integrals. We use these relations together with the method of numerical unitarity to numerically obtain master integral decompositions of the planar two-loop amplitudes contributing to W (→ ℓν)-production in association with two jets, the planar and non-planar amplitudes contributing to three-photon production and the amplitudes contributing to Higgs-production in association with two jets at leading colour and in the heavy-top-loop approximation. Furthermore, the W +jets amplitudes and the 3γ amplitudes are obtained analytically via functional reconstruction in a finite field together with some physically motivated improvements

Angaben zum Objekt

• Standort: Deutsche Nationalbibliothek Frankfurt am Main
• Umfang: Online-Ressource
• Sprache: Englisch
• Anmerkungen: Universität Freiburg, Dissertation, 2022

Klassifikation und Themen

• Schlagwort: Quantenfeldtheorie ; Quantenchromodynamik ; Standardmodell ; Quantenchromodynamik

Beteiligte, Orts- und Zeitangaben

• Ereignis: Veröffentlichung
• (wo): Freiburg
• (wer): Universität
• (wann): 2023
• Urheber: Klinkert, Maximilian
• Beteiligte Personen und Organisationen: Ita, Harald ; Vogl, Stefan ; Albert-Ludwigs-Universität Freiburg. Physikalisches Institut ; Albert-Ludwigs-Universität Freiburg. Fakultät für Mathematik und Physik

Weitere Informationen

• DOI: 10.6094/UNIFR/234190
• URN: urn:nbn:de:bsz:25-freidok-2341908
• Rechteinformation: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
• Letzte Aktualisierung: 14.08.2025, 10:48 MESZ