A symbol bootstrap using leading singularities determines the maximal-weight symbol of the planar two-loop six-gluon amplitude in massless QCD for MHV configurations.
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Two-loop leading-color helicity amplitudes for H+2 jets in the heavy-top limit are computed analytically and validated, enabling NNLO phenomenology and revealing an anomalous threshold.
Cluster algebras for planar conformal kinematics are identified as G(4,n) subalgebras and used to bootstrap the symbol of an 8-point three-loop wheel integral via D3 and new algebraic letters.
An encryption algorithm is constructed by encoding finite-field messages via mutations in finite-type cluster algebras.
A geometric order relation in IBP reduction yields a master-integral basis with Laurent-polynomial differential equations on the maximal cut that are then ε-factorized.
citing papers explorer
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Bootstrapping two-loop six-gluon amplitudes in QCD
A symbol bootstrap using leading singularities determines the maximal-weight symbol of the planar two-loop six-gluon amplitude in massless QCD for MHV configurations.
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Two-loop leading-color QCD corrections for Higgs plus two-jet production in the heavy-top limit
Two-loop leading-color helicity amplitudes for H+2 jets in the heavy-top limit are computed analytically and validated, enabling NNLO phenomenology and revealing an anomalous threshold.
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Kinematics, cluster algebras and Feynman integrals
Cluster algebras for planar conformal kinematics are identified as G(4,n) subalgebras and used to bootstrap the symbol of an 8-point three-loop wheel integral via D3 and new algebraic letters.
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A Cryptosystem Using Cluster Algebras
An encryption algorithm is constructed by encoding finite-field messages via mutations in finite-type cluster algebras.
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New algorithms for Feynman integral reduction and $\varepsilon$-factorised differential equations
A geometric order relation in IBP reduction yields a master-integral basis with Laurent-polynomial differential equations on the maximal cut that are then ε-factorized.