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Related papers: On soft factors and transmutation operators

200 papers

The recursive expansion of tree level multitrace Einstein-Yang-Mills (EYM) amplitudes induces a refined graphic expansion, by which any tree-level EYM amplitude can be expressed as a summation over all possible refined graphs. Each graph…

High Energy Physics - Theory · Physics 2021-05-05 Hongxiang Tian , Enze Gong , Chongsi Xie , Yi-Jian Du

Recently, based on the curve-integral formulation for stringy Tr$\phi^3$ amplitudes, a combinatorial formulation for Yang-Mills amplitudes has been proposed which describes gluons using pairs of scalars and produces the $n$-gluon amplitude…

High Energy Physics - Theory · Physics 2025-12-19 Jin Dong , Yong-Xiang Su , Dongyu Yang

BFSS proposed that asymptotically flat M-theory is dual to a large $N$ limit of the matrix quantum mechanics describing $N$ nonrelativistic D0-branes. Recent insights on the soft symmetries of any quantum theory of gravity in asymptotically…

High Energy Physics - Theory · Physics 2022-09-01 Noah Miller , Andrew Strominger , Adam Tropper , Tianli Wang

The gravitational $\mathcal{S}$-matrix defined with an infrared (IR) cutoff factorizes into hard and soft factors. The soft factor is universal and contains all the IR and collinear divergences. Here we show, in a momentum space basis, that…

High Energy Physics - Theory · Physics 2020-12-16 Elizabeth Himwich , Sruthi A. Narayanan , Monica Pate , Nisarga Paul , Andrew Strominger

A gauge-invariant saddle point expansion for the Yang-Mills vacuum transition amplitude on the basis of the squeezed approximation to the vacuum wave functional is outlined. This framework allows the identification of gauge-invariant…

High Energy Physics - Theory · Physics 2008-11-26 Hilmar Forkel

The study of form factors has many phenomenologically interesting applications, one of which is Higgs plus gluon amplitudes in QCD. Through effective field theory techniques these are related to form factors of various operators of…

High Energy Physics - Theory · Physics 2019-01-30 Andreas Brandhuber , Martyna Kostacinska , Brenda Penante , Gabriele Travaglini

The all-loop resummation of SU$(N)$ gauge theory amplitudes is known to factorize into an IR-divergent (soft and collinear) factor and a finite (hard) piece. The divergent factor is universal, whereas the hard function is a…

High Energy Physics - Theory · Physics 2021-07-14 Hernán A. González , Francisco Rojas

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

We apply on-shell and integrability methods that have been developed in the context of scattering amplitudes in N=4 SYM theory to tree-level form factors of this theory. Focussing on the colour-ordered super form factors of the chiral part…

High Energy Physics - Theory · Physics 2016-02-02 Rouven Frassek , David Meidinger , Dhritiman Nandan , Matthias Wilhelm

We study two-dimensional celestial conformal field theory describing four-dimensional ${\cal N}=1$ supergravity/Yang-Mills systems and show that the underlying symmetry is a supersymmetric generalization of BMS symmetry. We construct…

High Energy Physics - Theory · Physics 2020-10-28 Angelos Fotopoulos , Stephan Stieberger , Tomasz R. Taylor , Bin Zhu

We consider scattering amplitudes in planar N = 4 supersymmetric Yang-Mills theory in special kinematics where all external four-dimensional momenta are restricted to a (1+1)-dimensional subspace. The amplitudes are known to satisfy…

High Energy Physics - Theory · Physics 2015-06-05 Timothy Goddard , Paul Heslop , Valentin V. Khoze

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

In this note we further investigate the procedure for computing tree-level amplitudes in Yang-Mills theory from connected instantons in the B-model on P^{3|4}, emphasizing that the problem of calculating Feynman diagrams is recast into the…

High Energy Physics - Theory · Physics 2011-05-05 Radu Roiban , Marcus Spradlin , Anastasia Volovich

This chapter reviews the construction of ``soft-collinear gravity'', the effective field theory which describes the interaction of collinear and soft gravitons with matter (and themselves), to all orders in the soft-collinear power…

High Energy Physics - Theory · Physics 2022-10-20 Martin Beneke , Patrick Hager , Robert Szafron

We extend the double copy picture of scattering amplitudes to a class of matrix elements (so-called form factors) that involve local gauge invariant operators. Both the Bern, Carrasco and Johansson (BCJ) and the Kawai, Lewellen and Tye…

High Energy Physics - Theory · Physics 2022-12-28 Guanda Lin , Gang Yang

The asymptotic behaviour at large N of the MS-bar quark anomalous dimensions is derived to all orders assuming only MS-bar factorization and standard results for the exponentiation of soft logarithms in the quark initiated bare cross…

High Energy Physics - Phenomenology · Physics 2014-11-17 Simon Albino , Richard D. Ball

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

We extend the celestial Roiban-Spradlin-Volovich-Witten (RSVW) formalism developed in our previous work to minitwistor superspace. Using the Drummond-Henn formula for all tree-level amplitudes in N=4 supersymmetric Yang-Mills (SYM) theory,…

High Energy Physics - Theory · Physics 2026-05-26 Igor Mol

The construction of perturbative quantities on non-linear backgrounds leads to the possibility of incorporating strong field effects in perturbation theory. We continue a programme to construct QFT observables on self-dual backgrounds. The…

High Energy Physics - Theory · Physics 2023-05-15 Giuseppe Bogna , Lionel Mason

We present strong evidence that the sub-subleading soft theorem in semi-classical (tree level) gravity discovered by Cachazo and Strominger is equivalent to the conservation of asymptotic charges associated to a new class of vector fields…

General Relativity and Quantum Cosmology · Physics 2017-02-01 Miguel Campiglia , Alok Laddha