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Threshold logarithms become dominant in partonic cross sections when the selected final state forces gluon radiation to be soft or collinear. Such radiation factorizes at the level of scattering amplitudes, and this leads to the resummation…

High Energy Physics - Phenomenology · Physics 2015-06-01 D. Bonocore , E. Laenen , L. Magnea , S. Melville , L. Vernazza , C. D. White

In this paper, we extend the method proposed in \cite{Arkani-Hamed:2024fyd} for deriving soft theorems of amplitudes, which relies exclusively on factorization properties including conventional factorizations on physical poles, as well as…

High Energy Physics - Theory · Physics 2026-05-05 Kang Zhou

We present next-to-next-to-leading-order (NNLO) results for an exclusive soft function that appears in a recently developed factorization theorem for transverse momentum distributions. The factorization theorem, derived using the Soft…

High Energy Physics - Phenomenology · Physics 2011-12-21 Ye Li , Sonny Mantry , Frank Petriello

When a set of charged or dyonic objects scatter and subsequently disperse, the process generically emits electromagnetic radiation. The classical soft photon theorem constrains the constant term and leading power-law fall-off of the emitted…

High Energy Physics - Theory · Physics 2025-11-27 Sarthak Duary , Pabitra Ray

We discuss all-order factorization for the virtual Compton process at next-to-leading power (NLP) in the $\Lambda_{\rm QCD}/Q$ and $\sqrt{-t}/Q$ expansion (twist-3), both in the double-deeply-virtual case and the single-deeply-virtual case.…

High Energy Physics - Phenomenology · Physics 2025-01-31 Jakob Schoenleber , Robert Szafron

Soft and collinear radiation is responsible for large corrections to many hadronic cross sections, near thresholds for the production of heavy final states. There is much interest in extending our understanding of this radiation to…

High Energy Physics - Phenomenology · Physics 2018-01-12 D. Bonocore , E. Laenen , L. Magnea , L. Vernazza , C. D. White

Simple analytic formulas are considered for the energy radiated in low frequency bremsstrahlung from fully ionized gases. A formula that has been frequently cited over many years turns out to have only a limited range of validity, more…

Astrophysics of Galaxies · Physics 2019-05-08 Steven Weinberg

We investigate the photon emission in pion-pion and pion-proton scattering in the soft-photon limit where the photon energy $\omega \to 0$. The expansions of the $\pi^{-} \pi^{0} \to \pi^{-} \pi^{0} \gamma$ and the $\pi^{\pm} p \to…

High Energy Physics - Phenomenology · Physics 2024-05-30 Piotr Lebiedowicz , Otto Nachtmann , Antoni Szczurek

We consider the production of an arbitrary number of colour-singlet particles near partonic threshold, and show that next-to-leading order cross sections for this class of processes have a simple universal form at next-to-leading power…

High Energy Physics - Phenomenology · Physics 2017-12-06 V. Del Duca , E. Laenen , L. Magnea , L. Vernazza , C. D. White

We compute the tree-level current for the emission of a soft quark-antiquark pair in association with a gluon. This soft current is the last missing ingredient to understand the infrared singularities that can arise in…

High Energy Physics - Phenomenology · Physics 2023-02-01 Vittorio Del Duca , Claude Duhr , Rayan Haindl , Zhengwen Liu

We derive the QCD$\times$QED factorization theorem governing the leptonic decay $B^-\to\mu^-\bar\nu_\mu(\gamma)$ at all orders in $\alpha_s$ and $\alpha$. Electromagnetic corrections to this decay probe multiple scales, which we disentangle…

High Energy Physics - Phenomenology · Physics 2026-01-22 Claudia Cornella , Max Ferré , Matthias König , Matthias Neubert

We discuss the reactions $\pi p \to \pi p$ and $\pi p \to \pi p \gamma$ from a general quantum field theory (QFT) point of view, describing these reactions in QCD and lowest relevant order of electromagnetism. We consider the pion-proton…

High Energy Physics - Phenomenology · Physics 2024-11-18 Piotr Lebiedowicz , Otto Nachtmann , Antoni Szczurek

The $B\to \gamma \ell \nu_\ell$ decay at large energies of the photon receives a numerically important soft-overlap contribution which is formally of the next-to-leading order in the expansion in the inverse photon energy. We point out that…

High Energy Physics - Phenomenology · Physics 2015-06-11 V. M. Braun , A. Khodjamirian

In [1,2] it was shown that the subleading soft photon theorem in tree level amplitudes in massless QED is equivalent to a new class of symmetries of the theory parameterized by a vector field on the celestial sphere. In this paper, we…

High Energy Physics - Theory · Physics 2018-07-04 Alok Laddha , Prahar Mitra

We provide simple and accurate analytic approximations for the low frequency double Compton emission coefficient that are applicable in a broad range of physical situations up to mildly relativistic temperatures. These approximations may be…

Astrophysics · Physics 2009-11-11 J. Chluba , S. Yu. Sazonov , R. A. Sunyaev

Previous work on soft-gluon resummation for direct photon production is extended to include additional subleading logarithmic terms through O(alpha alpha_s^3) and some representative comparisons are made to experimental results from the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Nikolaos Kidonakis , J. F. Owens

Heavy-to-light weak form factor is calculated using the light-cone sum rule (LCSR)in the framework of soft-collinear effective theory (SCET). There are spin-symmetric and spin-nonsymmetric contributions. Leading order spin-symmetric…

High Energy Physics - Phenomenology · Physics 2009-11-11 Jong-Phil Lee

We compute the next-to-leading order (NLO) hard correction to the gluon self-energy tensor with arbitrary soft momenta in a hot and/or dense weakly coupled plasma in Quantum Chromodynamics. Our diagrammatic computations of the two-loop and…

High Energy Physics - Phenomenology · Physics 2023-11-14 Tyler Gorda , Risto Paatelainen , Saga Säppi , Kaapo Seppänen

In QCD, the amplitude for multiple soft gluon emissions has been shown to exhibit a form of coherence, wherein one-loop corrections are rendered IR finite by the transverse momentum of the real emissions. Using a sequence of soft-collinear…

High Energy Physics - Phenomenology · Physics 2021-12-08 Jeffrey Robert Forshaw , Jack Holguin , Aditya Pathak

We present a computation of the global soft function for single-inclusive hadronic jet production at next-to-next-to-leading order (NNLO) in the strong coupling constant involving four light-like Wilson lines. Our soft function belongs to…

High Energy Physics - Phenomenology · Physics 2021-10-04 Yaroslav Balytskyi , Jianbo Gao