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Recently, the spinor helicity formalism and on-shell superspace were developed for six-dimensional gauge theories with (1,1) supersymmetry. We combine these two techniques with (generalised) unitarity, which is a powerful technique to…

High Energy Physics - Theory · Physics 2011-03-02 Andreas Brandhuber , Dimitrios Korres , Daniel Koschade , Gabriele Travaglini

We investigate the perturbative integrability of different quantum field theories in 1+1 dimensions at one loop. Starting from massive bosonic Lagrangians with polynomial-like potentials and absence of inelastic processes at the tree level,…

High Energy Physics - Theory · Physics 2023-04-26 Davide Polvara

In four dimensions, it has long been established that gravity coupled to matter exhibits ultraviolet divergences at one loop, irrespective of supersymmetry. Notably, the four-matter one-loop amplitudes of half-maximal supergravity coupled…

High Energy Physics - Theory · Physics 2026-04-02 Yu-tin Huang , Henrik Johansson , Michele Santagata , Congkao Wen

We study four-point correlation functions of half-BPS operators of arbitrary weight for all dimensions d=3,4,5,6 where superconformal theories exist. Using harmonic superspace techniques, we derive the superconformal Ward identities for…

High Energy Physics - Theory · Physics 2008-11-26 Francis A. Dolan , Laurent Gallot , Emery Sokatchev

We extend the twistor string theory inspired formalism introduced in hep-th/0407214 for calculating loop amplitudes in N=4 super Yang-Mills theory to the case of N=1 (and N=2) super Yang-Mills. Our approach yields a novel representation of…

High Energy Physics - Theory · Physics 2011-05-05 James Bedford , Andreas Brandhuber , Bill Spence , Gabriele Travaglini

The one-loop cohomology of N=4 SYM is conjectured to be isomorphic to the exact cohomology. As a result, its truncations are expected to be subrings of the exact cohomology. We study the superconformal index restricted over one such…

High Energy Physics - Theory · Physics 2025-06-18 Abhijit Gadde , Eunwoo Lee , Rajat Raj , Shivansh Tomar

We determine complete one-loop beta functions of the multi-scalar four-point couplings in four-dimensional $SU(N)$ gauge theories with $M$ adjoint scalar multiplets. For adjoints scalars, the sign of the one loop gauge coupling beta…

High Energy Physics - Theory · Physics 2022-11-29 Nadia Flodgren , Bo Sundborg

We describe new on-shell recursion relations for tree-amplitudes in N=1 and N=2 gauge theories and use these to show that the structure of the S-matrix in pure N=1 and N=2 gauge theories resembles that of pure Yang-Mills. We proceed to…

High Energy Physics - Theory · Physics 2010-05-25 Shailesh Lal , Suvrat Raju

It is a remarkable fact that MHV amplitudes in maximally supersymmetric Yang-Mills theory at arbitrary loop order can be written as the product of the tree amplitude with the same helicity configuration and a universal, helicity-blind…

High Energy Physics - Theory · Physics 2008-11-26 Andreas Brandhuber , Paul Heslop , Gabriele Travaglini

We consider the 1-loop effective potential in type I string theory compactified on a torus, with supersymmetry broken by the Scherk-Schwarz mechanism. At fixed supersymmetry breaking scale M, and up to exponentially suppressed terms, we…

High Energy Physics - Theory · Physics 2020-12-30 Herve Partouche

We show that it is possible to extend Moore's analysis of the classical scattering amplitudes of the bosonic string to those of the N=1 superstring. Using the bracket relations we are able to show that all possible amplitudes involving both…

High Energy Physics - Theory · Physics 2007-05-23 Jonathan D. Edwards

In a recent paper we considered the type 0 string theories, obtained from the ten-dimensional closed NSR string by a GSO projection which excludes space-time fermions, and studied the low-energy dynamics of N coincident D-branes. This led…

High Energy Physics - Theory · Physics 2009-09-17 Igor R. Klebanov , Arkady A. Tseytlin

We compute the one-loop correction to the radion potential in the Randall-Sundrum model with detuned brane tensions, with supersymmetry broken by boundary conditions. We concentrate on the small-warping limit, where the one-loop correction…

High Energy Physics - Theory · Physics 2008-11-26 Andrey Katz , Yael Shadmi , Yuri Shirman

The hypergeometric amplitude is a one-parameter deformation of the Veneziano amplitude for four-point tachyon scattering in bosonic string theory that is consistent with $S$-matrix bootstrap constraints. In this article we construct a…

High Energy Physics - Theory · Physics 2025-02-10 Gareth Mansfield , Marcus Spradlin

We demonstrate that pure N=4 supergravity is ultraviolet divergent at four loops. The form of the divergence suggests that it is due to the rigid U(1) duality-symmetry anomaly of the theory. This is the first known example of an ultraviolet…

High Energy Physics - Theory · Physics 2013-12-16 Zvi Bern , Scott Davies , Tristan Dennen , Alexander V. Smirnov , Vladimir A. Smirnov

Four-particle tree-level scattering amplitudes in string theory are magically consistent with unitarity, reflected in the non-trivial fact that beneath the critical dimension, the residues of the amplitudes on massive poles can be expanded…

High Energy Physics - Theory · Physics 2022-03-14 Nima Arkani-Hamed , Lorenz Eberhardt , Yu-tin Huang , Sebastian Mizera

In this work, we review and clarify computational issues about the W-gauge boson one-loop contribution to the H -> gamma gamma decay amplitude, in the unitary gauge and in the Standard Model. We find that highly divergent integrals depend…

High Energy Physics - Phenomenology · Physics 2013-05-20 Athanasios Dedes , Kristaq Suxho

Infrared regularized versions of 4-D N=1 superstring ground states are constructed by curving the spacetime. A similar regularization can be performed in field theory. For the IR regularized string ground states we derive the exact one-loop…

High Energy Physics - Theory · Physics 2009-10-28 Elias Kiritsis , Costas Kounnas

We calculate bosonic open string one-loop massive scattering amplitudes for some low-lying string states. By using the periodicity relations of Jacobi theta functions, we explicitly prove an infinite number of one-loop type I stringy Ward…

High Energy Physics - Theory · Physics 2009-11-10 Chuan-Tsung Chan , Jen-Chi Lee

We use on-shell Supersymmetry to constrain the three-point function of two massless particles and one massive particle in 3+1 dimensions. We use this information to write down the tree-level four-point function of massless particles for…

High Energy Physics - Theory · Physics 2023-06-28 Mahesh K. N. Balasubramanian , Kushal Chakraborty , Arnab Rudra , Arnab Priya Saha