25 citations · 103 across the 8 of their papers we have counts for
8 papers
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…
Covariant color-kinematics duality, Hopf algebras and permutohedra
Qu Cao, Jin Dong, Song He +1
Based on the covariant color-kinematics duality, we investigate combinatorial and algebraic structures underlying their Bern-Carrasco-Johansson (BCJ) numerators of tree-level ampli…
Reduction of General One-loop Integrals Using Auxiliary Vector
Bo Feng, Tingfei Li, Hongbin Wang +1
As a key method to deal with loop integrals, Integration-By-Parts (IBP) method can be used to do reduction as well as establish the differential equations for master integrals. How…
One-loop diagrams with quadratic propagators from the worldsheet
Bo Feng, Song He, Yong Zhang +1
It is well known that forward limits of tree-level amplitudes (and those trivalent diagrams they consist of) produce one-loop amplitudes and trivalent diagrams with propagators lin…
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…
The momentum amplituhedron of SYM and ABJM from twistor-string maps
Song He, Chia-Kai Kuo, Yao-Qi Zhang
We study remarkable connections between twistor-string formulas for tree amplitudes in SYM and ABJM, and the corresponding momentum amplituhedron in the k…
Note on solutions of scattering equations
Bo Feng, Chang Hu, Yaobo Zhang
In the CHY-frame for the amplitudes, there are two kinds of singularities we need to deal with. The first one is the pole singularities when the kinematics is not general, such tha…
Note on the Labelled tree graphs
Bo Feng, Yaobo Zhang
In the CHY-frame for the tree-level amplitudes, the bi-adjoint scalar theory has played a fundamental role because it gives the on-shell Feynman diagrams for all other theories. Re…