Pioline, Boris

At low energies, interactions of massless particles in type II strings compactified on a torus T$^{d}$ are described by an effective Wilsonian action $ \mathcal{S} $ (Λ), consisting of the usual supergravity Lagrangian supplemented by an infinite series of higher-derivative vertices, including the much studied Δ$^{4}^{p}^{ + 6}^{q}$ℛ$^{4}$ gravitat...

Huet, Idrish Rausch De Traubenberg, Michel Schubert, Christian

We study the three-loop Euler-Heisenberg Lagrangian in spinor quantum electrodynamics in 1+1 dimensions. In this first part we calculate the one-fermion-loop contribution, applying both standard Feynman diagrams and the worldline formalism which leads to two different representations in terms of fourfold Schwinger-parameter integrals. Unlike the di...

Huet, Idrish Rausch De Traubenberg, Michel Schubert, Christian

We study the three-loop Euler-Heisenberg Lagrangian in spinor quantum electrodynamics in 1+1 dimensions. In this first part we calculate the one-fermion-loop contribution, applying both standard Feynman diagrams and the worldline formalism which leads to two different representations in terms of fourfold Schwinger-parameter integrals. Unlike the di...

Chicherin, D. Henn, J.M. Sokatchev, E.

We initiate a systematic study of the consequences of (super)conformal symmetry of massless scattering amplitudes. The classical symmetry is potentially broken at the quantum level by infrared and ultraviolet effects. We study its manifestations on the finite hard part of the scattering process. The conformal Ward identities in momentum space are s...

Kosower, David A. Maybee, Ben O'Connell, Donal

We present a formalism for computing classically measurable quantities directly from on-shell quantum scattering amplitudes. We discuss the ingredients needed for obtaining the classical result, and show how to set up the calculation to derive the result efficiently. We do this without specializing to a specific theory. We study in detail two examp...

Abreu, Samuel Dixon, Lance J. Herrmann, Enrico Page, Ben Zeng, Mao

We compute the symbol of the two-loop five-point amplitude in $ \mathcal{N} $ = 8 supergravity. We write an ansatz for the amplitude whose rational prefactors are based on not only 4-dimensional leading singularities, but also d-dimensional ones, as the former are insufficient. Our novel d-dimensional unitarity-based approach to the systematic cons...

Chicherin, D. Henn, J.M. Sokatchev, E.

We initiate a systematic study of the consequences of (super)conformal symmetry of massless scattering amplitudes. The classical symmetry is potentially broken at the quantum level by infrared and ultraviolet effects. We study its manifestations on the finite hard part of the scattering process. The conformal Ward identities in momentum space are s...

Abreu, Samuel Dixon, Lance J. Herrmann, Enrico Page, Ben Zeng, Mao

We compute the symbol of the two-loop five-point amplitude in $ \mathcal{N} $ = 8 supergravity. We write an ansatz for the amplitude whose rational prefactors are based on not only 4-dimensional leading singularities, but also d-dimensional ones, as the former are insufficient. Our novel d-dimensional unitarity-based approach to the systematic cons...

Mazac, Dalimil Paulos, Miguel F.

We study a general class of functionals providing an analytic handle on the conformal bootstrap equations in one dimension. We explicitly identify the extremal functionals, corresponding to theories saturating conformal bootstrap bounds, in two regimes. The first corresponds to functionals that annihilate the generalized free fermion spectrum. In t...

Abreu, S. Dormans, J. Febres Cordero, F. Ita, H. Page, B. Sotnikov, V.

We present the analytic form of all leading-color two-loop five-parton helicity amplitudes in QCD. The results are analytically reconstructed from exact numerical evaluations over finite fields. Combining a judicious choice of variables with a new approach to the treatment of particle states in D dimensions for the numerical evaluation of amplitude...