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20092026
most citedGauge Amplitude Identities by On-shell Recursion Relation in S-matrix Program

211 citations · 715 across the 26 of their papers we have counts for

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22 papers · 1 filter

hep-th2026

Four-loop Anomalous Dimensions of Scalar-QED Theory from Operator Product Expansion

Rijun Huang, Qingjun Jin, Yi Li

We apply the Operator Product Expansion (OPE) algorithm to the renormalization of scalar-QED theory, with a specific focus on the fixed-charge operator . Within the OPE framew…

hep-th2025

Five-loop Anomalous Dimensions of Cubic Scalar Theory from Operator Product Expansion

Rijun Huang, Qingjun Jin, Yi Li

In this work, we compute the anomalous dimensions of the operator in six-dimensional cubic scalar theory. The renormalization analysis is carried out within the framework of…

hep-th2025

On the Seven-loop Renormalization of Gross-Neveu Model

Rijun Huang, Qingjun Jin, Yi Li

The presence of an infinite number of marginal four-fermion operators is a key characteristic of the two-dimensional Gross-Neveu model. In this study, we investigate the structure…

hep-th2024★ 1 cited

From Operator Product Expansion to Anomalous Dimensions

Rijun Huang, Qingjun Jin, Yi Li

We propose a new method for computing the renormalization functions, which is based on the ideas of operator product expansion and large momentum expansion. In this method, the ren…

hep-th2022★ 1 cited

Wilson Lines and Boundary Operators of BCFW Shifts

Rijun Huang, Qingjun Jin, Yi Li

Boundary operators are gauge invariant operators whose form factors correspond to boundary contributions of BCFW shifts. In gauge theory, the boundary operators contain infinite se…

hep-th2020★ 6 cited

Expansion of EYM Amplitudes in Gauge Invariant Vector Space

Bo Feng, Xiao-Di Li, Rijun Huang

Motivated by the problem of expanding single-trace tree-level amplitude of Einstein-Yang-Mills theory to the BCJ basis of Yang-Mills amplitudes, we present an alternative expansion…

hep-th2018★ 4 cited

Permutation in the CHY-Formulation

Rijun Huang, Fei Teng, Bo Feng

The CHY-integrand of bi-adjoint cubic scalar theory is a product of two PT-factors. This pair of PT-factors can be interpreted as defining a permutation. We introduce the cycle rep…

hep-th2017★ 24 cited

Understanding the Cancelation of Double Poles in the Pfaffian of CHY-formulism

Rijun Huang, Yi-Jian Du, Bo Feng

For a physical field theory, the tree-level amplitudes should possess only single poles. However, when computing amplitudes with Cachazo-He-Yuan (CHY) formulation, individual terms…

hep-th2017★ 79 cited

Expansion of Einstein-Yang-Mills Amplitude

Chih-Hao Fu, Yi-Jian Du, Rijun Huang +1

In this paper, we provide a thorough study on the expansion of single trace Einstein-Yang-Mills amplitudes into linear combination of color-ordered Yang-Mills amplitudes, from vari…

hep-th2016★ 6 cited

Note on recursion relations for the -cut representation

Bo Feng, Song He, Rijun Huang +1

In this note, we study the -cut representation by combining it with BCFW deformation. As a consequence, the one-loop integrand is expressed in terms of a recursion rel…

hep-th2016★ 53 cited

Cross-ratio Identities and Higher-order Poles of CHY-integrand

Carlos Cardona, Bo Feng, Humberto Gomez +1

The evaluation of generic Cachazo-He-Yuan(CHY)-integrands is a big challenge and efficient computational methods are in demand for practical evaluation. In this paper, we propose a…

hep-th2016★ 20 cited

Feynman Rules of Higher-order Poles in CHY Construction

Rijun Huang, Bo Feng, Ming-xing Luo +1

In this paper, we generalize the integration rules for scattering equations to situations where higher-order poles are present. We describe the strategy to deduce the Feynman rules…

hep-th2016★ 14 cited

Form Factor and Boundary Contribution of Amplitude

Rijun Huang, Qingjun Jin, Bo Feng

The boundary contribution of an amplitude in the BCFW recursion relation can be considered as a form factor involving boundary operator and unshifted particles. At the tree-level,…

hep-th2015★ 18 cited

The Q-cut Representation of One-loop Integrands and Unitarity Cut Method

Rijun Huang, Qingjun Jin, Junjie Rao +2

Recently, a new construction for complete loop integrands of massless field theories has been proposed, with on-shell tree-level amplitudes delicately incorporated into its algorit…

hep-th2015★ 46 cited

An Algebraic Approach to the Scattering Equations

Rijun Huang, Junjie Rao, Bo Feng +1

We employ the so-called companion matrix method from computational algebraic geometry, tailored for zero-dimensional ideals, to study the scattering equations. The method renders t…

hep-th2014★ 15 cited

Global Structure of Curves from Generalized Unitarity Cut of Three-loop Diagrams

Jonathan D. Hauenstein, Rijun Huang, Dhagash Mehta +1

This paper studies the global structure of algebraic curves defined by generalized unitarity cut of four-dimensional three-loop diagrams with eleven propagators. The global structu…

hep-th2014★ 4 cited

Integral Reduction by Unitarity Method for Two-loop Amplitudes: A Case Study

Bo Feng, Jun Zhen, Rijun Huang +1

In this paper, we generalize the unitarity method to two-loop diagrams and use it to discuss the integral bases of reduction. To test out method, we focus on the four-point double-…

hep-th2012★ 25 cited

The Complete KLT-Map Between Gravity and Gauge Theories

Poul H. Damgaard, Rijun Huang, Thomas Sondergaard +1

We present the complete map of any pair of super Yang-Mills theories to supergravity theories as dictated by the KLT relations in four dimensions. Symmetries and the full set of as…

hep-th2010★ 12 cited

Tree amplitudes of noncommutative U(N) Yang-Mills Theory

Jia-Hui Huang, Rijun Huang, Yin Jia

Following the spirit of S-matrix program, we proposed a modified Britto-Cachazo-Feng-Witten recursion relation for tree amplitudes of noncommutative U(N) Yang-Mills theory. Startin…

hep-th2010★ 24 cited

Note on New KLT relations

Bo Feng, Song He, Rijun Huang +1

In this short note, we present two results about KLT relations discussed in recent several papers. Our first result is the re-derivation of Mason-Skinner MHV amplitude by applying…

hep-th2010★ 30 cited

U(1)-decoupling, KK and BCJ relations in SYM

Yin Jia, Rijun Huang, Chang-Yong Liu

We proved the color reflection relation, U(1)-decoupling, Kleiss-Kuijf and Bern-Carrasco-Johansson relation for color-ordered Super Yang-Mills theory using $\mathca…

hep-th2010★ 211 cited

Gauge Amplitude Identities by On-shell Recursion Relation in S-matrix Program

Bo Feng, Rijun Huang, Yin Jia

Using only the Britto-Cachazo-Feng-Witten(BCFW) on-shell recursion relation we prove color-order reversed relation, -decoupling relation, Kleiss-Kuijf(KK) relation and Bern-C…