# Hexagon POPE: effective particles and tree level resummation

@article{Crdova2016HexagonPE, title={Hexagon POPE: effective particles and tree level resummation}, author={Luc{\'i}a C{\'o}rdova}, journal={Journal of High Energy Physics}, year={2016}, volume={2017}, pages={1-26} }

A bstractWe present the resummation of the full Pentagon Operator Product Expansion series of the hexagon Wilson loop in planar N=4$$ \mathcal{N}=4 $$ SYM at tree level. We do so by considering the one effective particle states formed by a fundamental flux tube excitation and an arbitrary number of the so called small fermions which are then integrated out. We derive the one effective particle measures at finite coupling. By evaluating these measures at tree level and summing over all one…

## 19 Citations

Resumming the POPE at one loop

- Mathematics
- 2016

A bstractThe Pentagon Operator Product Expansion represents polygonal Wilson loops in planar N=4$$ \mathcal{N}=4 $$ super Yang-Mills in terms of a series of flux tube excitations for finite coupling.…

Structure constants at wrapping order

- Physics
- 2017

A bstractWe consider structure constants of single trace operators in planar N=4$$ \mathcal{N}=4 $$ Super-Yang-Mills theory within the hexagon framework. The standard procedure for forming a three…

An Operator Product Expansion for Form Factors II. Born level

- MathematicsJournal of High Energy Physics
- 2021

Abstract
Form factors in planar $$ \mathcal{N} $$
N
= 4 Super-Yang-Mills theory admit a type of non-perturbative operator product expansion (OPE), as we have recently shown in [1]. This expansion…

Multi-particle finite-volume effects for hexagon tessellations

- Mathematics
- 2019

Correlation functions of gauge-invariant composite operators in N=4 super Yang-Mills theory can be computed by integrability using triangulations. The elementary tile in this process is the hexagon,…

The Steinmann Cluster Bootstrap for N=4 Super Yang-Mills Amplitudes

- PhysicsProceedings of Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2019)
- 2020

We review the bootstrap method for constructing six- and seven-particle amplitudes in planar $\mathcal{N}=4$ super Yang-Mills theory, by exploiting their analytic structure. We focus on two recently…

The contribution of scalars to N=4 SYM amplitudes II: Young tableaux, asymptotic factorisation and strong coupling

- MathematicsNuclear Physics B
- 2018

Heptagons from the Steinmann cluster bootstrap

- Geology
- 2016

A bstractWe reformulate the heptagon cluster bootstrap to take advantage of the Steinmann relations, which require certain double discontinuities of any amplitude to vanish. These constraints vastly…

Regge meets collinear in strongly-coupled N=4$$ \mathcal{N}=4 $$ super Yang-Mills

- Mathematics
- 2016

A bstractWe revisit the calculation of the six-gluon remainder function in planar N=4$$ \mathcal{N}=4 $$ super Yang-Mills theory from the strong coupling TBA in the multi-Regge limit and identify an…

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