Schalch, Nicolas François (2024). Resummation of Next-to-Leading Non-Global Logarithms. (Thesis). Universität Bern, Bern

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Abstract

An intricate pattern of enhanced higher-order corrections known as non-global logarithms arises in cross sections with angular cuts. While the leading logarithmic terms have been calculated numerically more than two decades ago, the resummation of subleading non-global logarithms remained an open problem. In this monograph, we present a solution to this challenge using effective field theory techniques. Starting from a factorization theorem, we develop a dedicated parton shower framework in the Veneziano limit where the number of colors Nc becomes large, but the ratio of Nc to the number of fermion flavors nF remains fixed. We solve the associated renormalization-group equations using our Monte-Carlo framework, thereby resumming the subleading non-global logarithms. Combined with matching corrections, we obtain, for the first time, the complete set of next-to-leading logarithmic corrections for a non-global observable at a hadron collider.

Item Type:	Thesis
Dissertation Type:	Single
Date of Defense:	2 September 2024
Subjects:	500 Science > 530 Physics
Institute / Center:	08 Faculty of Science > Institute of Theoretical Physics 10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
Depositing User:	Hammer Igor
Date Deposited:	15 Oct 2024 05:58
Last Modified:	15 Oct 2024 05:58
URI:	https://boristheses.unibe.ch/id/eprint/5495

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