activity
20182024
most citedNotes on cluster algebras and some all-loop Feynman integrals

32 citations · 228 across the 16 of their papers we have counts for

collaborators

17 papers

hep-th2024

Landau-based Schubert analysis

Song He, Xuhang Jiang, Jiahao Liu +1

We revisit the conjectural method called Schubert analysis for generating the alphabet of symbol letters for Feynman integrals, which was based on geometries of intersecting lines…

hep-th2024

From squared amplitudes to energy correlators

Song He, Xuhang Jiang, Qinglin Yang +1

The leading order -point energy correlators of maximally supersymmetric Yang-Mills theory in the limit where the detectors are collinear can be expressed as an integral of t…

hep-th2024

Differential equations and recursive solutions for cosmological amplitudes

Song He, Xuhang Jiang, Jiahao Liu +2

Recently considerable efforts have been devoted to computing cosmological correlators and the corresponding wavefunction coefficients, as well as understanding their analytical str…

hep-th2023

On symbology and differential equations of Feynman integrals from Schubert analysis

Song He, Xuhang Jiang, Jiahao Liu +1

We take the first step in generalizing the so-called "Schubert analysis", originally proposed in twistor space for four-dimensional kinematics, to the study of symbol letters and m…

hep-th2022★ 23 cited

Bootstrapping elliptic Feynman integrals using Schubert analysis

Roger Morales, Anne Spiering, Matthias Wilhelm +2

The symbol bootstrap has proven to be a powerful tool for calculating polylogarithmic Feynman integrals and scattering amplitudes. In this letter, we initiate the symbol bootstrap…

hep-th2022★ 1 cited

The symbology of Feynman integrals from twistor geometries

Song He, Jiahao Liu, Yichao Tang +1

We study the symbology of planar Feynman integrals in dimensional regularization by considering geometric configurations in momentum twistor space corresponding to their leading si…

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★ 25 cited

Schubert Problems, Positivity and Symbol Letters

Qinglin Yang

We propose a geometrical approach to generate symbol letters of amplitudes/integrals in planar Super Yang-Mills theory, known as {\it Schubert problems}. Beginning…

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★ 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-th2019★ 4 cited

Triangulations for ABHY Polytopes and Recursions for Tree and Loop Amplitudes

Qinglin Yang

In this note we make a field-theoretical derivation of a series of new recursion relations by a one-parameter deformation of kinematic variables for tree and one-loop amplitudes of…

hep-th2018★ 22 cited

An Etude on Recursion Relations and Triangulations

Song He, Qinglin Yang

Following~\cite{Arkani-Hamed:2017thz}, we derive a recursion relation by applying a one-parameter deformation of kinematic variables for tree-level scattering amplitudes in bi-adjo…