activity
20182026
most citedTwo-loop Octagons, Algebraic Letters and Equations

45 citations · 345 across the 22 of their papers we have counts for

collaborators

23 papers

hep-th2026

Three-Reggeon exchange in SYM to leading logarithmic accuracy

Claude Duhr, Zhenjie Li, Chi Zhang

We study eight-point amplitudes in the planar Super Yang-Mills theory in multi-Regge kinematics in the Mandelstam region that receives contributions from both two-…

hep-th2026

Eight loop form factors, amplitudes and patterns in planar super-Yang-Mills theory

Lance J. Dixon, Zhenjie Li

The simplest nontrivial amplitude in planar super-Yang-Mills theory is six-gluon scattering in the maximally-helicity-violating configuration. It has been computed…

hep-th2025

Two-loop MHV Form Factors from the Periodic Wilson Loop

Zhenjie Li

We discuss how to compute maximal-helicity-violating (MHV) form factors for the chiral part of the stress-tensor supermultiplet from periodic light-like polygon Wilson loops in pla…

hep-th2024

Integrating the full four-loop negative geometries and all-loop ladder-type negative geometries in ABJM theory

Zhenjie Li

The decomposition of the four-point ABJM amplituhedron into negative geometries produces compact integrands of logarithmic of amplitudes such that the infrared divergence only come…

hep-th2023★ 13 cited

Emergent unitarity, all-loop cuts and integrations from the ABJM amplituhedron

Song He, Chia-Kai Kuo, Zhenjie Li +1

We elaborate on aspects of a new positive geometry proposed recently, which was conjectured to be the four-point amplituhedron for ABJM theory. We study generalized unitarity cuts…

hep-th2022★ 11 cited

The two-loop eight-point amplitude in ABJM theory

Song He, Yu-tin Huang, Chia-Kai Kuo +1

In this paper, we present the two-loop correction to scattering amplitudes in three-dimensional Chern-Simons matter theory. We use eight-point case as our main exam…

hep-th2022★ 7 cited

A nice two-loop next-to-next-to-MHV amplitude in super-Yang-Mills

Song He, Zhenjie Li, Chi Zhang

We study a scalar component of the 8-point next-to-next-to-maximally-helicity-violating (NMHV) amplitude at two-loop level in super-Yang-Mills theory; it has a l…

hep-th2022★ 24 cited

A study of Feynman integrals with uniform transcendental weights and the symbology from dual conformal symmetry

Song He, Zhenjie Li, Rourou Ma +3

Multi-loop Feynman integrals are key objects for the high-order correction computations in high energy phenomenology. These integrals with multiple scales, may have complicated sym…

hep-th2022★ 22 cited

All-Loop Four-Point Aharony-Bergman-Jafferis-Maldacena Amplitudes from Dimensional Reduction of the Amplituhedron

Song He, Chia-Kai Kuo, Zhenjie Li +1

We define a new geometry obtained from the all-loop amplituhedron in SYM by reducing its four-dimensional external and loop momenta to three dimensions. Focusing on th…

hep-th2021

Kinematics, cluster algebras and Feynman integrals

Song He, Zhenjie Li, Qinglin Yang

We identify cluster algebras for planar kinematics of conformal Feynman integrals in four dimensions, as sub-algebras of that for top-dimensional corresponding to -poin…

hep-th2021★ 17 cited

The Three-loop MHV Octagon from equations

Zhenjie Li, Chi Zhang

The equations, rooted in the dual superconformal anomalies, are a powerful tool for computing amplitudes in planar supersymmetric Yang-Mills theory. By us…

hep-th2021★ 13 cited

Comments on all-loop constraints for scattering amplitudes and Feynman integrals

Song He, Zhenjie Li, Qinglin Yang

We comment on the status of "Steinmann-like" constraints, i.e. all-loop constraints on consecutive entries of the symbol of scattering amplitudes and Feynman integrals in planar ${…

hep-th2021★ 31 cited

Truncated cluster algebras and Feynman integrals with algebraic letters

Song He, Zhenjie Li, Qinglin Yang

We propose that the symbol alphabet for classes of planar, dual-conformal-invariant Feynman integrals can be obtained as truncated cluster algebras purely from their kinematics, wh…

hep-th2021★ 9 cited

Bootstrapping octagons in reduced kinematics from cluster algebras

Song He, Zhenjie Li, Yichao Tang +1

Multi-loop scattering amplitudes/null polygonal Wilson loops in super-Yang-Mills are known to simplify significantly in reduced kinematics, where external legs/edg…

hep-th2021★ 32 cited

Notes on cluster algebras and some all-loop Feynman integrals

Song He, Zhenjie Li, Qinglin Yang

We study cluster algebras for some all-loop Feynman integrals, including box-ladder, penta-box-ladder, and (seven-point) double-penta-ladder integrals. In addition to the well-know…

hep-th2021★ 23 cited

Feynman Integrals and Scattering Amplitudes from Wilson Loops

Song He, Zhenjie Li, Qinglin Yang +1

We study Feynman integrals and scattering amplitudes in super-Yang-Mills by exploiting the duality with null polygonal Wilson loops. Certain Feynman integrals, includi…

hep-th2020★ 21 cited

The Wilson-loop representation for Feynman integrals

Song He, Zhenjie Li, Yichao Tang +1

We introduce and study the Wilson-loop representation of certain Feynman integrals for scattering amplitudes in SYM and beyond, which makes their evaluat…

hep-th2020★ 32 cited

The symbol and alphabet of two-loop NMHV amplitudes from equations

Song He, Zhenjie Li, Chi Zhang

We study the symbol and the alphabet for two-loop NMHV amplitudes in planar super-Yang-Mills from the equations, which provide a first-principle method for c…

hep-th2020★ 23 cited

A Note on Letters of Yangian Invariants

Song He, Zhenjie Li

Motivated by reformulating Yangian invariants in planar SYM directly as forms on momentum-twistor space, we propose a purely algebraic problem of determining t…

hep-th2020★ 16 cited

Stringy canonical forms and binary geometries from associahedra, cyclohedra and generalized permutohedra

Song He, Zhenjie Li, Prashanth Raman +1

Stringy canonical forms are a class of integrals that provide -deformations of the canonical form of any polytopes. For generalized associahedra of finite-type cluster algebra,…

hep-th2020★ 1 cited

Blowing up Stringy Canonical Forms: An Algorithm to Win a Simplified Hironaka's Polyhedra Game

Zhenjie Li, Chi Zhang

We provide an efficient method of blowing up to compute leading order contributions of the recently introduced stringy canonical forms. The method is related to the well-known Hiro…

hep-th2019★ 45 cited

Two-loop Octagons, Algebraic Letters and Equations

Chi Zhang, Zhenjie Li, Song He

We compute the symbol of the first two-loop amplitudes in planar SYM with algebraic letters, the eight-point NMHV amplitude (or the dual octagon Wilson loops). We show…

hep-th2018★ 5 cited

Moduli Space of Paired Punctures, Cyclohedra and Particle Pairs on a Circle

Zhenjie Li, Chi Zhang

In this paper, we study a new moduli space , which is obtained from by identifying pairs of punctures. We find that this spac…