We introduce a constructive method for defining a global loop-integrand basis for scattering
amplitudes, encompassing both planar and nonplanar contributions. Our approach utilizes a …

Biological systems, characterized by their complex interplay of symmetry and asymmetry,
operate through intricate networks of interacting molecules, weaving the elaborate tapestry …

A bstract In this paper, we define the momentum amplituhedron in the four-dimensional split-
signature space of dual momenta. It encodes scattering amplitudes at tree level and loop …

The gradient property of the renormalisation group (RG) flow of multiscalar theories is
examined perturbatively in d= 4 and d= 4− ε dimensions. Such theories undergo RG flows in …

Given a set F of graphs, we call a copy of a graph in F an F-graph. The F-isolation number of
a graph G, denoted by ι (G, F), is the size of a smallest subset D of the vertex set V (G) such …

For $ g\ge 2$ and $ n\ge 0$, let $\mathcal {H} _ {g, n}\subset\mathcal {M} _ {g, n} $ denote
the complex moduli stack of $ n $-marked smooth hyperelliptic curves of genus $ g $. A …

Abstract For $ g\ge 2$ and $ n\ge 0$, let $\mathcal {H} _ {g, n}\subset\mathcal {M} _ {g, n} $
denote the complex moduli stack of n-marked smooth hyperelliptic curves of genus g. A …

We present a theoretical framework for the analysis of amplitude transfer in Quantum
Variational Algorithms (QVAs) for combinatorial optimisation with mixing unitaries defined by …

This thesis investigates geometric descriptions of scattering amplitudes, with a specific focus
on scattering amplitudes in N= 4 SYM and ABJM theory. The recent development of the field …

Networks or graphs are widely used across the sciences to represent relationships of many
kinds. igraph (https://igraph. org) is a general-purpose software library for graph …