Computation of NLO Processes Involving Heavy Quarks Using Loop-Tree Duality

• Published in: arXiv.org
• Main Author: Driencourt-Mangin, Felix
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 22.11.2016
• Subjects: Decay rate; Mapping; Physics - High Energy Physics - Phenomenology; Physics - High Energy Physics - Theory; Singularities; Subtraction
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.1611.07352

We present a new method to compute higher-order corrections to physical cross-sections, at Next-to-Leading Order and beyond. This method, based on the Loop Tree Duality, leads to locally integrable expressions in four dimensions. By introducing a physically motivated momentum mapping between the momenta involved in the real and the virtual contributions, infrared singularities naturally cancel at integrand level, without the need to introduce subtraction counter-terms. Ultraviolet singularities are dealt with by using dual representations of suitable counter-terms, with some subtleties regarding the self-energy contributions. As an example, we apply this method to compute the \(1\to2\) decay rate in the context of a scalar toy model with massive particles.