Partial Wave Amplitude Basis and Selection Rules in Effective Field Theories
Minyuan Jiang, Jing Shu, Ming-Lei Xiao, Yu-Hui Zheng
Abstract
We derive the generalized partial wave expansion for N→M scattering amplitude in terms of spinor helicity variables. The basis amplitudes of the expansion with definite angular momentum j consist of the Poincaré Clebsch-Gordan coefficients. Moreover, we obtain a series of selection rules that restrict the anomalous dimension matrix of effective operators and how effective operators contribute to some 2→N amplitudes at the loop level.
Topics & Concepts
AmplitudeSpinorHelicityBasis (linear algebra)Scattering amplitudeDimension (graph theory)Mathematical physicsPhysicsSeries (stratigraphy)Field (mathematics)Angular momentumSelection (genetic algorithm)MathematicsMatrix (chemical analysis)Quantum electrodynamicsQuantum mechanicsPure mathematicsComputer scienceGeometryPaleontologyArtificial intelligenceMaterials scienceBiologyComposite materialQuantum Chromodynamics and Particle InteractionsBlack Holes and Theoretical PhysicsParticle physics theoretical and experimental studies