130 citations · 756 across the 20 of their papers we have counts for
20 papers
An analytic solution for the equal-mass banana graph
Johannes Broedel, Claude Duhr, Falko Dulat +3
We present fully analytic results for all master integrals for the three-loop banana graph with four equal and non-zero masses. The results are remarkably simple and all integrals…
Elliptic polylogarithms and Feynman parameter integrals
Johannes Broedel, Claude Duhr, Falko Dulat +2
In this paper we study the calculation of multiloop Feynman integrals that cannot be expressed in terms of multiple polylogarithms. We show in detail how certain types of two- and…
All two-loop MHV remainder functions in multi-Regge kinematics
Vittorio Del Duca, Claude Duhr, Falko Dulat +1
We introduce a method to extract the symbol of the coefficient of of MHV remainder functions in planar N=4 Super Yang-Mills in multi-Regge kinematics region directly from…
Elliptic Feynman integrals and pure functions
Johannes Broedel, Claude Duhr, Falko Dulat +2
We propose a variant of elliptic multiple polylogarithms that have at most logarithmic singularities in all variables and satisfy a differential equation without homogeneous term.…
Elliptic polylogarithms and two-loop Feynman integrals
Johannes Broedel, Claude Duhr, Falko Dulat +2
We review certain classes of iterated integrals that appear in the computation of Feynman integrals that involve elliptic functions. These functions generalise the well-known class…
From modular forms to differential equations for Feynman integrals
Johannes Broedel, Claude Duhr, Falko Dulat +2
In these proceedings we discuss a representation for modular forms that is more suitable for their application to the calculation of Feynman integrals in the context of iterated in…
supersymmetric form factors and maximal transcendentality Part II: super Yang-Mills
Andreas Brandhuber, Martyna Kostacinska, Brenda Penante +1
The study of form factors has many phenomenologically interesting applications, one of which is Higgs plus gluon amplitudes in QCD. Through effective field theory techniques these…
supersymmetric form factors and maximal transcendentality Part I: super Yang-Mills
Andreas Brandhuber, Martyna Kostacinska, Brenda Penante +1
In the large top-mass limit, Higgs plus multi-gluon amplitudes in QCD can be computed using an effective field theory. This approach turns the computation of such amplitudes into t…
Elliptic symbol calculus: from elliptic polylogarithms to iterated integrals of Eisenstein series
Johannes Broedel, Claude Duhr, Falko Dulat +2
We present a generalization of the symbol calculus from ordinary multiple polylogarithms to their elliptic counterparts. Our formalism is based on a special case of a coaction on l…
Higgs amplitudes from super Yang-Mills theory
Andreas Brandhuber, Martyna Kostacinska, Brenda Penante +1
Higgs plus multi-gluon amplitudes in QCD can be computed in an effective Lagrangian description. In the infinite top-mass limit, an amplitude with a Higgs and gluons is compute…
A note on NMHV form factors from the Graßmannian and the twistor string
David Meidinger, Dhritiman Nandan, Brenda Penante +1
In this note we investigate Graßmannian formulas for form factors of the chiral part of the stress-tensor multiplet in superconformal Yang-Mills theory. We present…
On-shell methods for off-shell quantities in N=4 Super Yang-Mills: from scattering amplitudes to form factors and the dilatation operator
Brenda Penante
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, evidenc…
The SU(2|3) dynamic two-loop form factors
Andreas Brandhuber, Martyna Kostacinska, Brenda Penante +2
We compute two-loop form factors of operators in the closed subsector of supersymmetric Yang-Mills. In particular, we focus on the non-protected, dimension-three op…
Integrability and unitarity
Andreas Brandhuber, Brenda Penante, Gabriele Travaglini +1
We show how generalised unitarity can be used to determine the one-loop dilatation operator in N=4 super Yang-Mills. Our analysis focuses on two sectors, namely the bosonic SO(6) s…
Non-Planar On-Shell Diagrams
Sebastian Franco, Daniele Galloni, Brenda Penante +1
We initiate a systematic study of non-planar on-shell diagrams in N=4 SYM and develop powerful technology for doing so. We introduce canonical variables generalizing face variables…
Integrability and MHV diagrams in N=4 supersymmetric Yang-Mills theory
Andreas Brandhuber, Brenda Penante, Gabriele Travaglini +1
We apply MHV diagrams to the derivation of the one-loop dilatation operator of N=4 super Yang-Mills in the SO(6) sector. We find that in this approach the calculation reduces to th…
The last of the simple remainders
Andreas Brandhuber, Brenda Penante, Gabriele Travaglini +1
We compute the n-point two-loop form factors of the half-BPS operators Tr(phi_{AB}^n) in N=4 super Yang-Mills for arbitrary n >2 using generalised unitarity and symbols. These form…
On super form factors of half-BPS operators in N=4 super Yang-Mills
Brenda Penante, Bill Spence, Gabriele Travaglini +1
We compute form factors of half-BPS operators in N=4 super Yang-Mills dual to massive Kaluza-Klein modes in supergravity. These are appropriate supersymmetrisations T_k of the scal…
CSW-like Expansion for Einstein Gravity
Brenda Penante, Sayeh Rajabi, Grigory Sizov
Using the recent formula presented by He and Cachazo-Mason-Skinner for the link representation of tree-level N=8 supergravity amplitudes, we derived a CSW-like expansion for the Ne…
Parity Symmetry and Soft Limit for the Cachazo-Geyer Gravity Amplitude
Brenda Penante, Sayeh Rajabi, Grigory Sizov
In this note, we prove that the recent proposal for the tree-level n-particle N=8 supergravity amplitudes by Cachazo and Geyer satisfies parity symmetry and soft limit behavior exp…