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We look at the threshold effects in neutral and charged Drell-Yan production, Higgs boson production with a massive vector boson, and Higgs production in bottom quark annihilation at the Large Hadron Collider (LHC), up to the third order in…

High Energy Physics - Phenomenology · Physics 2026-03-09 Goutam Das , Chinmoy Dey , M C Kumar , Kajal Samanta

We present a new method to compute the soft function for the $N$-Jettiness variable for arbitrary $N$ at high perturbative orders in QCD. It is based on the observation that the most singular part of the soft function, the dipole…

High Energy Physics - Phenomenology · Physics 2026-04-16 Luca Buonocore , Maximilian Delto , Kirill Melnikov , Pier Francesco Monni , Andrey Pikelner , Gherardo Vita

We consider the production of a colourless system at next-to-leading order in the strong coupling constant $\alpha_s$. We impose a transverse-momentum cutoff, qtcut, on the colourless final state and we compute the power corrections for the…

High Energy Physics - Phenomenology · Physics 2020-01-08 Leandro Cieri , Carlo Oleari , Marco Rocco

The complete soft-enhanced and virtual-gluon contributions are derived for the quark coefficient functions in semi-inclusive e^+e^- annihilation to the third order in massless perturbative QCD. These terms enable us to extend the soft-gluon…

High Energy Physics - Phenomenology · Physics 2009-11-06 S. Moch , A. Vogt

I present results for the two-loop soft anomalous dimensions for associated production of a single top quark with a W boson or a charged Higgs boson. The calculation uses expressions for the massive cusp anomalous dimension, which are…

High Energy Physics - Phenomenology · Physics 2011-01-06 Nikolaos Kidonakis

We discuss peculiarities that arise in the computation of real-emission contributions to observables that contain Heaviside functions. A prominent example of such a case is the zero-jettiness soft function in SCET, whose calculation at…

High Energy Physics - Phenomenology · Physics 2022-03-02 Daniel Baranowski , Maximilian Delto , Kirill Melnikov , Chen-Yu Wang

We present analytic formulas that describe fully-differential production of color-singlet final states in $q\bar q$ and $gg$ annihilation, including all the relevant partonic channels, through NNLO QCD. We work within the nested…

High Energy Physics - Phenomenology · Physics 2019-05-22 Fabrizio Caola , Kirill Melnikov , Raoul Röntsch

We present the resummed predictions for inclusive cross-section for Drell-Yan (DY) production as well as onshell $Z,W^\pm$ productions at next-to-next-to-next-to leading logarithmic (N$^{3}$LL) accuracy. Using the standard techniques, we…

High Energy Physics - Phenomenology · Physics 2020-01-31 Ajjath A. H. , Goutam Das , M. C. Kumar , Pooja Mukherjee , V. Ravindran , Kajal Samanta

We determine the complete three-loop QCD soft anomalous dimension for multileg amplitudes involving a single massive coloured particle and any number of massless ones. This is achieved by applying a novel strategy based on a lightcone…

High Energy Physics - Phenomenology · Physics 2025-11-03 Einan Gardi , Zehao Zhu

In this article, we compute the gluon fusion Higgs boson cross-section at N3LO through the second term in the threshold expansion. This calculation constitutes a major milestone towards the full N3LO cross section. Our result has the best…

High Energy Physics - Phenomenology · Physics 2014-11-14 Charalampos Anastasiou , Claude Duhr , Falko Dulat , Elisabetta Furlan , Thomas Gehrmann , Franz Herzog , Bernhard Mistlberger

We present analytic all-order results for the highest three threshold logarithms of the space-like and time-like off-diagonal splitting functions and the corresponding coefficient functions for inclusive deep-inelastic scattering (DIS) and…

High Energy Physics - Phenomenology · Physics 2016-02-17 A. A. Almasy , N. A. Lo Presti , A. Vogt

We evaluate the phase-space integrals that arise in double real emission diagrams for semi-inclusive deep-inelastic scattering at next-to-next-to-leading order (NNLO) in QCD. Utilizing the reverse unitarity technique, we convert these…

High Energy Physics - Phenomenology · Physics 2025-03-31 Taushif Ahmed , Saurav Goyal , Syed Mehedi Hasan , Roman N. Lee , Sven-Olaf Moch , Vaibhav Pathak , Narayan Rana , Andreas Rapakoulias , V. Ravindran

We report on recent progress on the splitting functions for the evolution of parton distributions and related quantities, the (lightlike) cusp anomalous dimensions, in perturbative QCD. New results are presented for the four-loop…

High Energy Physics - Phenomenology · Physics 2018-08-29 A. Vogt , F. Herzog , S. Moch , B. Ruijl , T. Ueda , J. A. M. Vermaseren

A summary of the current understanding of methods of analytical higher order perturbative computations of total cross sections and decay widths in Quantum Chromodynamics is presented. As examples, the total cross section in electron…

High Energy Physics - Phenomenology · Physics 2009-10-28 Levan R. Surguladze , Mark A. Samuel

I discuss recent theoretical results with soft-gluon corrections for various top-quark production processes through approximate N$^3$LO, including soft anomalous dimensions through three loops. I present numerical results for total cross…

High Energy Physics - Phenomenology · Physics 2023-02-21 Nikolaos Kidonakis

We present precise results for the inclusive Higgs boson cross-section in gluon-gluon fusion at the LHC considering state-of-the-art fourth-order results in perturbative QCD arising from the dominant soft and virtual gluon emissions.…

High Energy Physics - Phenomenology · Physics 2026-01-28 Goutam Das , Sven-Olaf Moch

We present a formalism that sums up both soft-virtual (SV) and next to SV (NSV) contributions to all orders in perturbative QCD for the rapidity distribution of any colorless particle produced in hadron colliders. We have exploited the…

High Energy Physics - Phenomenology · Physics 2021-07-30 A. H. Ajjath , Pooja Mukherjee , V. Ravindran , Aparna Sankar , Surabhi Tiwari

Exclusive differential spectra in color-singlet processes at hadron colliders are benchmark observables that have been studied to high precision in theory and experiment. We present an effective-theory framework utilizing soft-collinear…

High Energy Physics - Phenomenology · Physics 2017-10-03 Piotr Pietrulewicz , Daniel Samitz , Anne Spiering , Frank J. Tackmann

At high values of the pair invariant mass the differential cross section for top-quark pair production at hadron colliders factorizes into soft, hard, and fragmentation functions. In this paper we calculate the next-to-next-to-leading-order…

High Energy Physics - Phenomenology · Physics 2015-06-05 Andrea Ferroglia , Ben D. Pecjak , Li Lin Yang

We consider extensions of the soft-gluon effective coupling that generalize the Catani--Marchesini--Webber (CMW) coupling in the context of soft-gluon resummation beyond the next-to-leading logarithmic accuracy. Starting from the…

High Energy Physics - Phenomenology · Physics 2023-09-22 Stefano Catani , Daniel de Florian , Simone Devoto , Massimiliano Grazzini , Javier Mazzitelli