Ferro, Livia Łukowski, Tomasz Moerman, Robert
Published in
Journal of High Energy Physics

The momentum amplituhedron is a positive geometry encoding tree-level scattering amplitudes in N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N} $$\end{docu...

Gerken, Jan E. Kleinschmidt, Axel Schlotterer, Oliver
Published in
Journal of High Energy Physics

We study generating series of torus integrals that contain all so-called modular graph forms relevant for massless one-loop closed-string amplitudes. By analysing the differential equation of the generating series we construct a solution for their low-energy expansion to all orders in the inverse string tension α′. Our solution is expressed through...

Vergu, Cristian Volk, Matthias
Published in
Journal of High Energy Physics

We describe the geometry of the leading singularity locus of the traintrack integral family directly in momentum twistor space. For the two-loop case, known as the elliptic double box, the leading singularity locus is a genus one curve, which we obtain as an intersection of two quadrics in ℙ3. At three loops, we obtain a K3 surface which arises as ...

Cristofoli, Andrea Damgaard, Poul H. Di Vecchia, Paolo Heissenberg, Carlo
Published in
Journal of High Energy Physics

We extract the long-range gravitational potential between two scalar particles with arbitrary masses from the two-to-two elastic scattering amplitude at 2nd Post-Minkowskian order in arbitrary dimensions. In contrast to the four-dimensional case, in higher dimensions the classical potential receives contributions from box topologies. Moreover, the ...

Alberte, Lasma de Rham, Claudia Momeni, Arshia Rumbutis, Justinas Tolley, Andrew J.
Published in
Journal of High Energy Physics

We explore the effective field theory for single and multiple interacting pseudo-linear spin-2 fields. By applying forward limit positivity bounds, we show that among the parameters contributing to elastic tree level scattering amplitude, there is no region of compatibility of the leading interactions with a standard local UV completion. Our result...

Bonifacio, James Hinterbichler, Kurt
Published in
Journal of High Energy Physics

We study the perturbative unitarity of scattering amplitudes in general dimensional reductions of Yang-Mills theories and general relativity on closed internal manifolds. For the tree amplitudes of the dimensionally reduced theory to have the expected high-energy behavior of the higher-dimensional theory, the masses and cubic couplings of the Kaluz...

Ananth, Sudarshan Pandey, Chetan Pant, Saurabh
Published in
Journal of High Energy Physics

The light-cone Hamiltonians for spin 1 and spin 2 fields, describing both the pure and the maximally supersymmetric theories, may be expressed as quadratic forms. In this paper, we show that this feature extends to light-cone higher spin theories. To first order in the coupling constant, we prove that the higher spin Hamiltonians, with and without ...

Borsten, L. Nagy, S.
Published in
Journal of High Energy Physics

We construct the pure gravity Becchi-Rouet-Stora-Tyutin (BRST) Einstein-Hilbert Lagrangian, to cubic order, using the BRST convolution product of two Yang-Mills theories, in conjunction with the Bern-Carrasco-Johansson (BCJ) double-copy.

Wen, Congkao Zhang, Shun-Qing
Published in
Journal of High Energy Physics

We study loop corrections to scattering amplitudes in the world-volume theory of a probe D3-brane, which is described by the supersymmetric Dirac-Born-Infeld theory. We show that the D3-brane loop superamplitudes can be obtained from the tree-level superamplitudes in the world-volume theory of a probe M5-brane (or D5-brane). The M5-brane theory des...

Alfonsi, Luigi White, Chris D. Wikeley, Sam
Published in
Journal of High Energy Physics

The Kerr-Schild double copy relates exact solutions of gauge and gravity theories. In all previous examples, the gravity solution is associated with an abelian-like gauge theory object, which linearises the Yang-Mills equations. This appears to be at odds with the double copy for scattering amplitudes, in which the non-abelian nature of the gauge t...