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The double-soft limit of gluon and graviton amplitudes is studied in four dimensions at tree level. In general this limit is ambiguous and we introduce two natural ways of taking it: A consecutive double-soft limit where one particle is…

High Energy Physics - Theory · Physics 2015-05-20 Thomas Klose , Tristan McLoughlin , Dhritiman Nandan , Jan Plefka , Gabriele Travaglini

We present the extension of two general algorithms for the treatment of infrared singularities arising in electroweak corrections to decay processes at next-to-leading order: the dipole subtraction formalism and the one-cutoff slicing…

High Energy Physics - Phenomenology · Physics 2016-03-23 Lorenzo Basso , Stefan Dittmaier , Alexander Huss , Luisa Oggero

An improved generalized suppression factor for gluon emission off a heavy quark is derived within perturbative QCD, which is valid for the full range of rapidity of the radiated gluon and also has no restriction on the scaled mass of the…

High Energy Physics - Phenomenology · Physics 2013-05-30 Raktim Abir , Carsten Greiner , Mauricio Martinez , Munshi G. Mustafa , Jan Uphoff

We compute the next-to-leading order corrections to soft-gluon radiation differentially in the one-emission phase space. We show that their contribution to the evolution of color dipoles can be obtained in a modified subtraction scheme,…

High Energy Physics - Phenomenology · Physics 2018-10-22 Falko Dulat , Stefan Höche , Stefan Prestel

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 present results for the top quark pair cross section at the Tevatron and the LHC. We use the resummed double differential cross section, employing the fully kinematics-dependent soft anomalous dimension matrices, to calculate the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Nikolaos Kidonakis , Ramona Vogt

We present a novel subtraction method to remove the soft and collinear divergences at next-to-leading order for processes involving an arbitrary number of fragmentation functions, where this method acts directly in the hadronic…

High Energy Physics - Phenomenology · Physics 2024-03-22 M. S. Zidi , J. Ph. Guillet , I. Schienbein , H. Zaraket

We present the analytic form of the two-loop five-gluon scattering amplitudes in QCD for a complete set of independent helicity configurations of external gluons. These include the first analytic results for five-point two-loop amplitudes…

High Energy Physics - Phenomenology · Physics 2019-03-06 S. Abreu , J. Dormans , F. Febres Cordero , H. Ita , B. Page

We derive the integrated forms of specific initial-final tree-level four-parton antenna functions involving a massless initial-state parton and a massive final-state fermion as hard radiators. These antennae are needed in the subtraction…

High Energy Physics - Phenomenology · Physics 2015-06-11 Gabriel Abelof , Aude Gehrmann-De Ridder , Oliver Dekkers

We analyze the end-point region of the photon spectrum in semi-inclusive radiative decays of very heavy quarkonium (m alpha_s^2 >> Lambda_QCD). We discuss the interplay of the scales arising in the Soft-Collinear Effective Theory, m,…

High Energy Physics - Phenomenology · Physics 2009-11-10 Xavier Garcia i Tormo , Joan Soto

We present virtual contributions up to two loop level in perturbative Quantum Chromodynamic (QCD) to the decay of pseudo-scalar Higgs boson ($A$) to three gluons ($g$) and also to quark ($q$), anti-quark ($\overline q$) and a gluon. With…

High Energy Physics - Phenomenology · Physics 2024-11-20 Pulak Banerjee , Prasanna K. Dhani , V. Ravindran

We compute the 1-jettiness soft function for the decay of a heavy quark into a light quark jet plus colorless particles at three-loop order in soft-collinear effective theory. The 1-jettiness measurement fixes the total small light-cone…

High Energy Physics - Phenomenology · Physics 2020-03-17 Robin Brüser , Ze Long Liu , Maximilian Stahlhofen

We consider the radiation of two distinguishable soft quark-antiquark pairs ($\mathrm{q}\bar{\mathrm{q}}\mathrm{Q}\bar{\mathrm{Q}}$) in a generic process for multiparton hard scattering in QCD. We evaluate the corresponding soft current at…

High Energy Physics - Phenomenology · Physics 2026-02-18 Leandro Cieri , Dimitri Colferai

Motivated by the need to correct the potentially large kinematic errors in approximations used in the standard formulation of perturbative QCD, we reformulate deeply inelastic lepton-proton scattering in terms of gauge invariant, universal…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. C. Collins , T. C. Rogers , A. M. Staśto

In the context of a subtraction method for jet cross sections at NNLO accuracy in the strong coupling, we perform the integration over the two-particle factorised phase space of the collinear-type contributions to the doubly unresolved…

High Energy Physics - Phenomenology · Physics 2015-06-12 Vittorio Del Duca , Gabor Somogyi , Zoltan Trocsanyi

We discuss a path toward the generalisation of the nested soft-collinear subtraction scheme to arbitrary $2\rightarrow n$ processes. The scheme is designed to provide an efficient and process-independent procedure to extract and regulate…

High Energy Physics - Phenomenology · Physics 2023-08-24 Chiara Signorile-Signorile , Davide Maria Tagliabue

In this talk we examine how one-loop soft and collinear splitting functions occur in the calculation of next-to-next-to-leading order (NNLO) corrections to production rates, and we present the one-loop gluon soft and splitting functions,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zvi Bern , Vittorio Del Duca , William B. Kilgore , Carl R. Schmidt

We provide a precise statement of hard-soft-collinear factorization of scattering amplitudes and prove it to all orders in perturbation theory. Factorization is formulated as the equality at leading power of scattering amplitudes in QCD…

High Energy Physics - Phenomenology · Physics 2015-03-09 Ilya Feige , Matthew D. Schwartz

We introduce a covariant Multipole Expansion for the scattering of a massive particle emitting photons or gravitons in $D$ dimensions. We find that these amplitudes exhibit very powerful features such as universality, soft exponentiation,…

High Energy Physics - Theory · Physics 2019-06-17 Yilber Fabian Bautista , Alfredo Guevara

Photon absorption by a quark in one nucleon followed by its high momentum transfer interaction with a quark in the other may produce two nucleons with high relative momentum. We sum the relevant quark rescattering diagrams, to show that the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Leonid L. Frankfurt , Gerald A. Miller , Misak M. Sargsian , Mark I. Strikman