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Unveiling hidden symmetries within Feynman diagrams is crucial for achieving more efficient computations in high-energy physics. In this paper, we study the symmetries underlying the causal Loop-Tree Duality (LTD) representations through a…

High Energy Physics - Theory · Physics 2025-05-12 Irene Lopez Imaz , German Sborlini

We compute the real part of the 2-loop vertex corrections for charmless hadronic B decays, completing the NNLO calculation of the topological tree amplitudes in QCD factorization. Among the technical aspects we show that the hard-scattering…

High Energy Physics - Phenomenology · Physics 2009-09-28 Guido Bell

We show how to correctly treat threshold singularities in fixed-order perturbative calculations of the electron anomalous magnetic moment and hadronic pair production processes such as top pair production. With respect to the former, we…

High Energy Physics - Phenomenology · Physics 2016-09-21 Martin Beneke , Pedro Ruiz-Femenia

The calculation of higher twist (or dimension) corrections to physical quantities using operator product expansions is delicate. If dimensional regularization is used to regulate the ultra-violet divergences then there are ambiguities in…

High Energy Physics - Lattice · Physics 2009-10-09 C. T. Sachrajda

We present a novel framework for computing differential cross-sections in quantum field theory using the optical theorem and loop amplitudes, circumventing the traditional method of squaring scattering amplitudes. This approach addresses…

High Energy Physics - Phenomenology · Physics 2024-12-16 Vatsal Garg , Hojin Lee , Kanghoon Lee

We present a method to numerically evaluate infrared-finite one- and two-loop integrals within the Four-Dimensional Regularization/Renormalization approach, in which a small mass serves as regulator. Typical integrals exhibit a logarithmic…

High Energy Physics - Phenomenology · Physics 2016-02-08 Tom Zirke

We compute the tree-level current for the emission of two soft quark-antiquark pairs in a hard scattering. We also compute the square of this current and discuss the resulting color correlations, featuring dipole correlations and…

High Energy Physics - Phenomenology · Physics 2024-11-26 Xinguang Chen , Zhengwen Liu

Construction of a QCD cascade at the NLO level requires recalculation of the splitting functions in a different manner [1]. We describe the calculation of some of the virtual contributions to the non-singlet splitting function. In order to…

High Energy Physics - Phenomenology · Physics 2015-06-17 O. Gituliar , S. Jadach , A. Kusina , M. Skrzypek

The Local Unitarity (LU) formalism provides a constructive, integrand-level realisation of the Kinoshita-Lee-Nauenberg (KLN) theorem, by combining loop and phase-space integrals appearing in scattering cross-sections in such a way that…

High Energy Physics - Phenomenology · Physics 2026-03-26 Zeno Capatti , Mathijs Fraaije , Valentin Hirschi , Lucien Huber , Ben Ruijl , Hua-Sheng Shao

We present an extension of the duality theorem, previously defined by S. Catani et al. on the one-loop level, to higher loop orders. The duality theorem provides a relation between loop integrals and tree-level phase-space integrals. Here,…

High Energy Physics - Phenomenology · Physics 2010-12-13 Isabella Bierenbaum

We present a calculation of next-to-leading-order (NLO) QCD corrections to total hadronic production cross sections and to light-hadron-decay rates of heavy quarkonium states. Both colour-singlet and colour-octet contributions are included.…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Petrelli , M. Cacciari , M. Greco , F. Maltoni , M. L. Mangano

The perturbative approach to quantum field theories has made it possible to obtain incredibly accurate theoretical predictions in high-energy physics. Although various techniques have been developed to boost the efficiency of these…

High Energy Physics - Phenomenology · Physics 2021-05-05 Selomit Ramirez-Uribe , Roger J. Hernandez-Pinto , German Rodrigo , German F. R. Sborlini , William J. Torres Bobadilla

We compute next-to-leading order (NLO) perturbative QCD corrections to the correlators of interpolating pentaquark currents. We employ modular techniques in configuration space which saves us from the onus of having to do loop calculations.…

High Energy Physics - Phenomenology · Physics 2012-08-28 S. Groote , J. G. Körner , A. A. Pivovarov

We report on a new calculation of the next-to-next-to-leading order (NNLO) QCD radiative corrections to the inclusive production of top-quark pairs at hadron colliders. The calculation is performed by using the $q_T$ subtraction formalism…

High Energy Physics - Phenomenology · Physics 2019-04-03 Stefano Catani , Simone Devoto , Massimiliano Grazzini , Stefan Kallweit , Javier Mazzitelli , Hayk Sargsyan

Compton scattering is a fundamental process in QED with broad applications, yet its theoretical description at high energies is challenged by substantial next-to-leading order (NLO) corrections arising from double-logarithmic enhancements.…

High Energy Physics - Phenomenology · Physics 2025-11-13 Hai Tao Li , Yan-Qing Ma , Cheng-Tai Tan , Jian Wang , Hong-Fei Zhang

We calculate the Next-to-Leading Order (NLO) virtual correction to the Higgs-induced DIS coefficient function in the infinite top-mass limit. Since we want to use this result in the framework of kt-factorization to resum small-x logarithms…

High Energy Physics - Phenomenology · Physics 2022-12-07 Anna Rinaudo

We describe how NNLO final state quark-pair corrections are computed in FDR by directly enforcing gauge invariance and unitarity in the definition of the regularized divergent integrals. The whole procedure is strictly four-dimensional and…

High Energy Physics - Phenomenology · Physics 2019-05-22 Ben Page , Roberto Pittau

A general outlook is presented on the study of multiloop topologies appearing for the first time at four loops. A unified description and representation of this family is provided, the so-called N$^4$MLT universal topology. Based on the…

High Energy Physics - Theory · Physics 2021-12-13 Selomit Ramírez-Uribe

The study of top-quark production and decay is central in the LHC physics programme, allowing precise tests of the Standard Model and offering a window on possible new physics. Accurate theoretical predictions for this process are therefore…

High Energy Physics - Phenomenology · Physics 2019-12-17 Simone Devoto

Loop-Tree Duality (LTD) is a framework in which the energy components of all loop momenta of a Feynman integral are integrated out using residue theorem, resulting in a sum over tree-like structures. Originally, the LTD expression exhibits…

High Energy Physics - Phenomenology · Physics 2020-09-28 Zeno Capatti , Valentin Hirschi , Dario Kermanschah , Andrea Pelloni , Ben Ruijl
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