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In the maximally-helicity-violating (MHV) configuration, tree-level single-trace Einstein-Yang-Mills (EYM) amplitude with one and two gravitons have been shown to satisfy a formula where each graviton splits into a pair of collinear gluons.…

High Energy Physics - Theory · Physics 2025-02-03 Zhirun Li , Yi-Jian Du

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 discuss fractional D3-branes on the orbifold C^3/Z_2*Z_2. We study the open and the closed string spectrum on this orbifold. The corresponding N=1 theory on the brane has, generically, a U(N_1)*U(N_2)*U(N_3)*U(N_4) gauge group with…

High Energy Physics - Theory · Physics 2009-11-07 M. Bertolini , P. Di Vecchia , G. Ferretti , R. Marotta

We study tree-level celestial amplitudes in Yang-Mills theory -- Mellin transforms of multi-gluon scattering amplitudes that convert them into the correlators of conformal primary fields on two-dimensional celestial sphere. By using purely…

High Energy Physics - Theory · Physics 2019-06-26 Wei Fan , Angelos Fotopoulos , Tomasz R. Taylor

Tree-level color-ordered Yang-Mills (YM) amplitudes can be decomposed in terms of $(n-2)!$ bi-scalar (BS) amplitudes, whose expansion coefficients form a basis of Bern-Carrasco-Johansson (BCJ) numerators. By the help of the recursive…

High Energy Physics - Theory · Physics 2022-02-16 Konglong Wu , Yi-Jian Du

There is evidence that one can compute tree level super Yang-Mills amplitudes using either connected or completely disconnected curves in twistor space. We argue that the two computations are equivalent, if the integration contours are…

High Energy Physics - Theory · Physics 2008-11-26 Sergei Gukov , Lubos Motl , Andrew Neitzke

The scattering amplitudes of planar N = 4 super-Yang-Mills exhibit a number of remarkable analytic structures, including dual conformal symmetry and logarithmic singularities of integrands. The amplituhedron is a geometric construction of…

High Energy Physics - Theory · Physics 2016-07-20 Zvi Bern , Enrico Herrmann , Sean Litsey , James Stankowicz , Jaroslav Trnka

We describe a new set of public, self-contained, and versatile computational tools for the investigation, manipulation, and evaluation of tree-level amplitudes in pure (super)Yang-Mills and (super)Gravity, $\phi^p$-scalar field theory, and…

High Energy Physics - Theory · Physics 2024-01-01 Jacob L. Bourjaily

Scattering amplitudes for the simplest theory of colored scalar particles - the Tr($\Phi^3$) theory - have recently been the subject of active investigations. In this letter we describe an unanticipated wider implication of this work: the…

High Energy Physics - Theory · Physics 2024-12-31 Nima Arkani-Hamed , Qu Cao , Jin Dong , Carolina Figueiredo , Song He

We present a new formula for all single trace tree amplitudes in four dimensional super Yang-Mills coupled to Einstein supergravity. Like the Cachazo-He-Yuan formula, our expression is supported on solutions of the scattering equations, but…

High Energy Physics - Theory · Physics 2016-01-27 Tim Adamo , Eduardo Casali , Kai A. Roehrig , David Skinner

Kinematic numerators of Yang-Mills scattering amplitudes possess a rich Lie algebraic structure that suggest the existence of a hidden infinite-dimensional kinematic algebra. Explicitly realizing such a kinematic algebra is a longstanding…

High Energy Physics - Theory · Physics 2021-10-27 Gang Chen , Henrik Johansson , Fei Teng , Tianheng Wang

We study the spectrum of low-lying eigenmodes of the kinetic operator for scalar particles, in the color adjoint representation of Yang-Mills theory. The kinetic operator is the covariant Laplacian, plus a constant which serves to…

High Energy Physics - Lattice · Physics 2009-11-11 J. Greensite , A. V. Kovalenko , S. Olejnik , M. I. Polikarpov , S. N. Syritsyn , V. I. Zakharov

The Grassmannian formulation of $\mathcal{N}=4$ super Yang-Mills theory expresses tree-level scattering amplitudes as linear combinations of residues from certain contour integrals. BCFW bridge decompositions using adjacent transpositions…

High Energy Physics - Theory · Physics 2014-11-25 Timothy M. Olson

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

The perturbiner approach to the multi-gluonic amplitudes in Yang-Mills theory is reviewed.

High Energy Physics - Theory · Physics 2007-05-23 K. Selivanov

We extend our analysis of bound states in $\mathcal{N}=1$ supersymmetric Yang-Mills theory by the consideration of baryonic operators, which are composed of three gluino fields. The corresponding states are similar to the baryons in QCD,…

High Energy Physics - Lattice · Physics 2023-07-26 Sajid Ali , Georg Bergner , Camilo Lopez , Istvan Montvay , Gernot Münster , Stefano Piemonte

Planar maximally supersymmetric Yang-Mills theory (N=4 SYM) is a special quantum field theory. A few of its remarkable features are conformal symmetry at the quantum level, evidence of integrability and, moreover, it is a prime example of…

High Energy Physics - Theory · Physics 2016-08-05 Brenda Penante

We further elaborate on the general construction proposed in arXiv:1812.03369, which connects, via tree-level double copy, massless string amplitudes with color-ordered QFT amplitudes that are given by Cachazo-He-Yuan formulas. The current…

High Energy Physics - Theory · Physics 2019-09-17 Song He , Fei Teng , Yong Zhang

We extract cubic interactions from the covariant equations of motion of Chiral Higher Spin Gravity and compute the corresponding amplitudes. These amplitudes are found to agree with earlier results obtained in the light-cone gauge. We also…

High Energy Physics - Theory · Physics 2026-03-09 Robin Guarini

In this work we show how a double-cover (DC) extension of the Cachazo, He and Yuan formalism (CHY) can be used to provide a new realization for the factorization of the amplitudes involving gluons and scalar fields. First, we propose a…

High Energy Physics - Theory · Physics 2019-06-26 Humberto Gomez