56 citations · 118 across the 8 of their papers we have counts for
9 papers
Attacking One-loop Multi-leg Feynman Integrals with the Loop-Tree Duality
Grigorios Chachamis, Sebastian Buchta, Petros Draggiotis +1
We discuss briefly the first numerical implementation of the Loop-Tree Duality (LTD) method. We apply the LTD method in order to calculate ultraviolet and infrared finite multi-leg…
First Numerical Implementation of the Loop-Tree Duality Method
Sebastian Buchta
The Loop-Tree Duality (LTD) is a novel perturbative method in QFT that establishes a relation between loop-level and tree-level amplitudes, which gives rise to the idea of treating…
Numerical implementation of the Loop-Tree Duality method
Sebastian Buchta, Grigorios Chachamis, Petros Draggiotis +1
We present a first numerical implementation of the Loop-Tree Duality (LTD) method for the direct numerical computation of multi-leg one-loop Feynman integrals. We discuss in detail…
Towards a Numerical Implementation of the Loop-Tree Duality Method
Sebastian Buchta, Grigorios Chachamis, Petros Draggiotis +2
We review the recent progress on the numerical implementation of the Loop-Tree Duality Method (LTDM) for the calculation of scattering amplitudes. A central point is the analysis o…
Theoretical foundations and applications of the Loop-Tree Duality in Quantum Field Theories
Sebastian Buchta
The Loop-Tree Duality (LTD) is a novel perturbative method in QFT that establishes a relation between loop-level and tree-level scattering amplitudes. This is achieved by directly…
The loop-tree duality at work
Sebastian Buchta, Grigorios Chachamis, Ioannis Malamos +3
We review the recent developments of the loop-tree duality method, focussing our discussion on analysing the singular behaviour of the loop integrand of the dual representation of…
On the singular behaviour of scattering amplitudes in quantum field theory
Sebastian Buchta, Grigorios Chachamis, Petros Draggiotis +2
We analyse the singular behaviour of one-loop integrals and scattering amplitudes in the framework of the loop--tree duality approach. We show that there is a partial cancellation…
Tree-Loop Duality Relation beyond simple poles
Isabella Bierenbaum, Sebastian Buchta, Petros Draggiotis +2
We develop the Tree-Loop Duality Relation for two- and three-loop integrals with multiple identical propagators (multiple poles). This is the extension of the Duality Relation for…
The MHV Lagrangian for a spontaneously broken gauge theory
Sebastian Buchta, Stefan Weinzierl
Starting from the standard Lagrangian for a SU(2) x U(1) gauge theory plus a Higgs field we derive the corresponding "maximal helicity violating" (MHV) Lagrangian. From this MHV La…