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Related papers: A quantum algorithm for the n-gluon MHV scattering…

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Using the recently introduced recursion relations with covariant massive-massless shift, we study tree-level scattering amplitudes involving a pair of massive vector bosons and an arbitrary number of gluons in the massive spinor-helicity…

High Energy Physics - Theory · Physics 2022-08-24 Sourav Ballav , Arkajyoti Manna

We identify a large class of one-loop amplitudes for massless particles that can be constructed via unitarity from tree amplitudes, without any ambiguities. One-loop amplitudes for massless supersymmetric gauge theories fall into this…

High Energy Physics - Phenomenology · Physics 2010-11-15 Z. Bern , L. Dixon , D. C. Dunbar , D. A. Kosower

Recently a new recursion relation for tree-level gluon amplitudes in gauge theory has been discovered. We solve this recursion to obtain explicit formulas for the closed set of amplitudes with arbitrarily many positive and negative helicity…

High Energy Physics - Theory · Physics 2009-11-11 Ruth Britto , Bo Feng , Radu Roiban , Marcus Spradlin , Anastasia Volovich

The maximally helicity violating (MHV) tree level scattering amplitudes involving three, four or five gravitons are worked out in Unimodular Gravity. They are found to coincide with the corresponding amplitudes in General Relativity. This a…

High Energy Physics - Theory · Physics 2018-02-15 Enrique Alvarez , Sergio Gonzalez-Martin , Carmelo P. Martin

Using four-dimensional unitarity and MHV-rules we calculate the one-loop MHV amplitudes with all external particles in the adjoint representation for N=2 supersymmetric QCD with N_f fundamental flavours. We start by considering such…

High Energy Physics - Theory · Physics 2014-11-18 E. W. Nigel Glover , Valentin V. Khoze , Ciaran Williams

We compute two infinite series of tree-level amplitudes with a massive scalar pair and an arbitrary number of gluons. We provide results for amplitudes where all gluons have identical helicity, and amplitudes with one gluon of opposite…

High Energy Physics - Theory · Physics 2009-11-11 Darren Forde , David A. Kosower

The efficient computation of color-summed QCD amplitudes at high parton multiplicities remains a central challenge for precision collider predictions. Existing approaches using trace, color-flow, or adjoint bases suffer from…

High Energy Physics - Phenomenology · Physics 2025-07-31 Oskar Bolinder , Rikkert Frederix , Malin Sjodahl

Single-minus tree-level $n$-gluon scattering amplitudes are reconsidered. Often presumed to vanish, they are shown here to be nonvanishing for certain "half-collinear" configurations existing in Klein space or for complexified momenta. We…

High Energy Physics - Theory · Physics 2026-03-11 Alfredo Guevara , Alexandru Lupsasca , David Skinner , Andrew Strominger , Kevin Weil

We present a computer library for the numerical evaluation of colour-ordered n-gluon amplitudes at one-loop order in pure Yang-Mills theory. The library uses the recently developed technique of generalised unitarity. Running in double…

High Energy Physics - Phenomenology · Physics 2013-03-05 Simon Badger , Benedikt Biedermann , Peter Uwer

We investigate the construction of tree-level MHV gluon amplitudes in multiplet bases using BCFW recursion. The multiplet basis decomposition can either be obtained by decomposing results derived in (for example) the DDM basis or by…

High Energy Physics - Phenomenology · Physics 2015-10-06 Yi-Jian Du , Malin Sjodahl , Johan Thoren

In this work we employ the MHV technique to show that scattering amplitudes with any number of consecutive soft particles behave universally in the multi-soft limit in which all particles go soft simultaneously. After identifying the…

High Energy Physics - Theory · Physics 2015-09-30 George Georgiou

We present results for the six-gluon scattering amplitude at one-loop. Since our method is semi-numerical, it yields the result for arbitrary momenta and helicities of the external gluons. We evaluate the colour-ordered sub-amplitudes with…

High Energy Physics - Phenomenology · Physics 2009-11-11 R. K. Ellis , W. T. Giele , Giulia Zanderighi

We study all tree-level split helicity gluon amplitudes by using the recently proposed BCFW recursion relation and Hodges diagrams in ambitwistor space. We pick out the contributing diagrams and find that all of them can be divided into…

High Energy Physics - Theory · Physics 2010-01-07 Bin Chen , Jun-Bao Wu

On-shell kinematics for gluon scattering can be parametrized with points on the celestial sphere; in the limit where these points collide, it is known that tree-level gluon scattering amplitudes exhibit an operator product expansion…

High Energy Physics - Theory · Physics 2023-04-19 Tim Adamo , Wei Bu , Eduardo Casali , Atul Sharma

We investigate MHV tree-level gravity amplitudes as defined on the spinor-helicity variety. Unlike their gluon counterparts, the gravity amplitudes do not have logarithmic singularities and do not admit Amplituhedron-like construction.…

High Energy Physics - Theory · Physics 2025-05-27 Joris Koefler , Umut Oktem , Shruti Paranjape , Jaroslav Trnka , Bailee Zacovic

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 investigate tree-level scattering processes involving quarks ($q$) and gluons ($g$) mediated by graviton exchange in the framework of Agravity, a dimensionless and renormalizable theory of quadratic quantum gravity. Focusing on the…

High Energy Physics - Theory · Physics 2025-10-31 I. F. Cunha , A. C. Lehum

Pasterski, Shao and Strominger have recently proposed that massless scattering amplitudes can be mapped to correlators on the celestial sphere at infinity via a Mellin transform. We apply this prescription to arbitrary $n$-point tree-level…

High Energy Physics - Theory · Physics 2018-05-09 Anders Schreiber , Anastasia Volovich , Michael Zlotnikov

We study n-point tree amplitudes of N=4 super Yang-Mills theory and N=8 supergravity for general configurations of external particles of the two theories. We construct generating functions for n-point MHV and NMHV amplitudes with general…

High Energy Physics - Theory · Physics 2009-10-08 Massimo Bianchi , Henriette Elvang , Daniel Z. Freedman

Significant progress has been made in the past year in developing new `MHV' techniques for calculating multiparticle scattering amplitudes in Yang-Mills gauge theories. Most of the work so far has focussed on applications to Quantum…

High Energy Physics - Theory · Physics 2010-02-03 K. J. Ozeren , W. J. Stirling