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Related papers: BCFW Deformation and Regge Limit

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Continuing the study of boundary BCFW recursion relation of tree level amplitudes initiated in \cite{Feng:2009ei}, we consider boundary contributions coming from fermion pair deformation. We present the general strategy for these boundary…

High Energy Physics - Theory · Physics 2012-01-09 Bo Feng , Zhibai Zhang

Armed with the latest technology in the computation of scattering amplitudes involving massive particles of any spin, we revisit the van Dam-Veltman-Zakharov (vDVZ) discontinuity of massive gravity and show how it may be understood in terms…

High Energy Physics - Theory · Physics 2018-07-25 Nathan Moynihan , Jeff Murugan

We use the recently developed massive spinor-helicity formalism [1] of Arkani- Hamed et al. to propose a new class of recursion relations for tree-level amplitudes in gauge theories. These relations are based on a combined complex…

High Energy Physics - Theory · Physics 2021-05-13 Sourav Ballav , Arkajyoti Manna

Exploiting the analytic properties of the scattering amplitude, we provide an alternative but equivalent definition of the standard Mellin transform used to obtain celestial correlation functions. From this representation, we identify a…

High Energy Physics - Theory · Physics 2026-02-04 Eduardo Casali , Riccardo Giordana Pozzi

The BCFW recursion relations provide a powerful way to compute tree amplitudes in gauge theories and gravity, but only hold if some amplitudes vanish when two of the momenta are taken to infinity in a particular complex direction. This is a…

High Energy Physics - Theory · Physics 2014-11-18 Nima Arkani-Hamed , Jared Kaplan

One of the methods to calculate tree-level multi-gluon scattering amplitudes is to use the Berends-Giele recursion relation involving off-shell currents or off-shell amplitudes, if working in the light cone gauge. As shown in recent works…

High Energy Physics - Phenomenology · Physics 2016-08-24 Piotr Kotko , Mirko Serino , Anna M. Stasto

In this note we study tree-level scattering amplitudes of gravitons under a natural deformation which in the large $z$ limit can be interpreted either as a $k$-hard-particle limit or as a $(n-k)$-soft-particle limit. When $k=2$ this becomes…

High Energy Physics - Theory · Physics 2024-05-02 Freddy Cachazo , Pablo Leon

Celestial amplitudes are flat-space amplitudes which are Mellin-transformed to correlators living on the celestial sphere. In this note we present a recursion relation, based on a tree-level BCFW recursion, for gravitational celestial…

High Energy Physics - Theory · Physics 2019-06-20 Alfredo Guevara

We address the problem of computing scattering amplitudes related to the correlation function of two Wilson lines and/or loops elongated along light-cone directions in strongly coupled gauge theories. Using the AdS/CFT correspondence in the…

High Energy Physics - Theory · Physics 2008-11-26 R. A. Janik , R. Peschanski

Using an effective field theory (EFT) formalism for forward scattering, we reconsider the factorization of $2\to 2$ scattering amplitudes in the Regge limit. Expanding the amplitude in gauge invariant operators labelled by the number of…

High Energy Physics - Phenomenology · Physics 2023-07-14 Ian Moult , Sanjay Raman , Gregory Ridgway , Iain W. Stewart

We study the application of BCFW recursion relations to the QED processes $0\to e^- e^+ n \gamma$. Based on 6-point amplitudes (both MHVA and NMHVA) computed from Feynman diagrams in the Berends-Giele gauge, we conduct a comprehensive study…

High Energy Physics - Theory · Physics 2022-09-14 Ke Li , Yuxin Liu , Qi-Shu Yan , Xiaoran Zhao

We study the high-energy small-angle {\it Regge} limit of the fermion-antifermion scattering in gauge theories and consider the part of the amplitude suppressed by a power of the scattering angle. For abelian gauge group all-order…

High Energy Physics - Phenomenology · Physics 2020-05-20 Alexander A. Penin

Continuing our previous study \cite{Du:2011se} of permutation sum of color ordered tree amplitudes of gluons, in this note, we prove the large-$z$ behavior of their cyclic sum and the combination of cyclic and permutation sums under BCFW…

High Energy Physics - Theory · Physics 2015-06-03 Yi-Jian Du , Bo Feng , Chih-Hao Fu

This article studies methods to obtain relations for scattering amplitudes at the loop level, with concrete examples at one loop. These methods originate in the analysis of large so-called Britto-Cachazo-Feng-Witten shifts of tree level…

High Energy Physics - Theory · Physics 2015-05-30 Rutger H. Boels , Reinke Sven Isermann

In this short review we briefly consider two topics in the higher spin gauge theory: the method of "tensorial (super) spaces" and application of BCFW recursion relations to higher spin fields.

High Energy Physics - Theory · Physics 2014-08-19 Mirian Tsulaia

The appearance of BCFW on-shell recursion relation has deepen our understanding of quantum field theory, especially the one with gauge boson and graviton. To be able to write the BCFW recursion relation, the knowledge of boundary…

High Energy Physics - Theory · Physics 2010-03-01 Bo Feng , Junqi Wang , Yihong Wang , Zhibai Zhang

We extend the recent formalism developed for computing rapidity anomalous dimension of form factors using unitarity to the problem of high-energy near forward scattering. By combining the factorization of $2\rightarrow 2$ scattering in the…

High Energy Physics - Phenomenology · Physics 2024-10-10 Ira Z. Rothstein , Michael Saavedra

Scattering amplitudes in the high-energy limit can be described in terms of their singularity structure in the complex angular momentum plane, consisting of Regge poles and cuts. In QCD, gluon Reggeization has long been understood as a…

High Energy Physics - Phenomenology · Physics 2024-12-31 Samuel Abreu , Giulio Falcioni , Einan Gardi , Calum Milloy , Leonardo Vernazza

What is the space of weakly-coupled, gravitational theories which contain massive, higher-spin particles? This class of theories is highly constrained and it is conjectured their ultraviolet completion must be string theory. We provide more…

High Energy Physics - Theory · Physics 2020-06-24 David Meltzer

This paper is a brief survey of the Balitskii-Fadin-Kuraev-Lipatov (BFKL) approach for the description of hard or semi-hard processes in the so-called Regge limit of perturbative QCD. The starting point is a fundamental property of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Alessandro Papa