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We discuss the amplitudes describing N-gluon scattering in type I superstring theory, on a disk world-sheet. After reviewing the general structure of amplitudes and the complications created by the presence of a large number of vertices at…

High Energy Physics - Theory · Physics 2008-11-26 Stephan Stieberger , Tomasz R. Taylor

We study the soft limit of one-loop QCD amplitudes and we derive the process-independent factorization formula that controls the singular behaviour in this limit. This is obtained from the customary eikonal factorization formula valid at…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Catani , M. Grazzini

I derive a class of functions unifying all singular limits for the emission of a given number of soft or collinear gluons in tree-level gauge-theory amplitudes. Each function is a generalization of the single-emission antenna function of…

High Energy Physics - Phenomenology · Physics 2009-11-07 David A. Kosower

Basing on the Slavnov-Taylor identities, we derive a new prescription to obtain gauge invariant tree-level scattering amplitudes for the process g*g->Ng within high energy factorization. Using the helicity method, we check the formalism up…

High Energy Physics - Phenomenology · Physics 2013-01-18 Andreas van Hameren , Piotr Kotko , Krzysztof Kutak

We perform a careful study of the infrared sector of massless non-abelian gauge theories in four-dimensional Minkowski spacetime using the covariant phase space formalism, taking into account the boundary contributions arising from the…

High Energy Physics - Theory · Physics 2021-03-17 Temple He , Prahar Mitra

We show that the form of the recently proposed subleading soft graviton and gluon theorems in any dimension are severely constrained by elementary arguments based on Poincar\'e and gauge invariance as well as a self-consistency condition…

High Energy Physics - Theory · Physics 2014-09-24 Johannes Broedel , Marius de Leeuw , Jan Plefka , Matteo Rosso

Celestial holography posits that the long-distance behavior of gauge and gravity theories is dictated by two-dimensional conformal field theories defined on the celestial sphere. For non-abelian gauge theories, this proposal is verified, to…

High Energy Physics - Theory · Physics 2025-12-29 Lorenzo Magnea , Enrico Zunino

We provide a new proof of Cachazo-Svrcek-Witten rules for tree-level gluonic amplitudes. As a key step, we explicitly show the cancellation of spurious poles originating from the maximally helicity violating vertices in these rules. To…

High Energy Physics - Theory · Physics 2022-06-02 Wen-Jie Zhang , Jun-Bao Wu , Chuan-Jie Zhu

Celestial holography suggests, among other things, that collinear singularities of graviton scattering amplitudes are described by the OPEs of some putative dual CFT. One of the great successes has been the insight that this duality is true…

High Energy Physics - Theory · Physics 2025-07-02 Simon Heuveline

Homogeneous power counting in Non-Relativistic QCD (NRQCD) implies the simultaneous existence of both soft and ultrasoft gluons. In the velocity renormalization group (vNRQCD) formalism we show that operators involving soft fields…

High Energy Physics - Phenomenology · Physics 2019-01-31 Ira Z. Rothstein , Prashant Shrivastava , Iain W. Stewart

We show that associativity of the tree-level OPE in a celestial CFT imposes constraints on the coupling constants of the corresponding bulk theory. These constraints are the same as those derived in arXiv:2111.11356 from the Jacobi identity…

High Energy Physics - Theory · Physics 2022-09-14 Lecheng Ren , Marcus Spradlin , Akshay Yelleshpur Srikant , Anastasia Volovich

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

Using the helicity formalism, we compute the corrections to the tree-level multigluon amplitudes in the high-energy limit, induced by the corrections to the multi-Regge kinematics, and we show that they coincide with the corresponding…

High Energy Physics - Phenomenology · Physics 2016-08-24 Vittorio Del Duca

In gauge theories, contact terms play an important role in ensuring gauge invariance. In the spinor helicity formalism, the choice of a gauge-fixing condition manifests itself in the form of the choice of reference vector to write the…

High Energy Physics - Theory · Physics 2025-06-17 Aakash Kumar , Arnab Rudra , Rahul Shaw

In this letter we discuss new soft theorems for the Goldstone boson amplitudes with non-vanishing soft limits. The standard argument is that the non-linearly realized shift symmetry leads to the vanishing of scattering amplitudes in the…

High Energy Physics - Theory · Physics 2020-03-25 Karol Kampf , Jiri Novotny , Mikhail Shifman , Jaroslav Trnka

Recently, Bern, Carrasco and Johansson conjectured dual identities inside the gluon tree scattering amplitudes. In this paper, we use the properties of the heterotic string and open string tree scattering amplitudes to refine and derive…

High Energy Physics - Theory · Physics 2012-11-21 S. -H. Henry Tye , Yang Zhang

In this note we discuss possible separations of exact, massive, tree-level spin amplitudes into gauge invariant parts. We concentrate our attention on processes involving two quarks entering a color- neutral current and, thanks to the QCD…

High Energy Physics - Phenomenology · Physics 2009-07-22 A. van Hameren , Z. Was

In this note, we prove that the recent proposal for the tree-level n-particle N=8 supergravity amplitudes by Cachazo and Geyer satisfies parity symmetry and soft limit behavior expected for graviton scattering amplitudes.

High Energy Physics - Theory · Physics 2012-11-28 Brenda Penante , Sayeh Rajabi , Grigory Sizov

Soft and collinear factorisations can be used to construct expressions for amplitudes in theories of gravity. We generalise the "half-soft" functions used previously to "soft-lifting" functions and use these to generate tree and one-loop…

High Energy Physics - Theory · Physics 2013-05-30 David C. Dunbar , James H. Ettle , Warren B. Perkins

We apply the recently developed formalism by Kosower, Maybee and O'Connell (KMO) to analyse the soft electromagnetic and soft gravitational radiation emitted by particles without spin in Four and higher dimensions. We use this formalism in…

High Energy Physics - Theory · Physics 2021-10-27 Manu A , Debodirna Ghosh , Alok Laddha , Athira P.
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