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Notes on the bootstrap of four-point conformal integrals
Xuhang Jiang
We set up a bootstrap workflow to study four-point conformal integrals in position space, using leading singularities, single-valued multiple polylogarithmic ansätze and boundary d…
Notes on Fourier transform and its application to three-point momentum-space integrals
Xuhang Jiang
The Fourier transform of two-point momentum-space Feynman integrals with massless propagators and two off-shell legs can be used to prove identities between their periods, exemplif…
Heptagon Symbols at Five Loops and All-Loop Sequences
Song He, Xuhang Jiang, Xiang Li +1
We revisit the symbol bootstrap program for the seven-particle MHV and NMHV amplitudes in planar super-Yang-Mills (SYM) based on the alphabet associated with the $E…
On Solving Dual Conformal Integrals in Coulomb-branch Amplitudes and Their Periods
Song He, Xuhang Jiang
We define and study infinite families of all-loop planar, dual conformal invariant (DCI) integrals, which contribute to four-point Coulomb-branch amplitudes and correlators in ${\c…
Notes on conformal integrals: Coulomb branch amplitudes, magic identities and bootstrap
Song He, Xuhang Jiang, Jiahao Liu +1
We study multi-loop conformal integrals for four-point correlators of planar super-Yang-Mills theory, and in particular those contributing to Coulomb branch amplitudes…
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…
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…
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…
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…