Note on hidden zeros and expansions of tree-level amplitudes
Hao Huang, Yang Ye, Kang Zhou
Abstract
Abstract In this note, we derive and interpret hidden zeros of tree-level amplitudes of various theories, including Yang–Mills, non-linear sigma model, special Galileon, Dirac–Born–Infeld, and gravity, by utilizing universal expansions of tree-level amplitudes which expand amplitudes of different theories to those of bi-adjoint scalar theory. Hidden zeros of above amplitudes are attributed to zeros of bi-adjoint scalar amplitudes which can be easily proved. For unordered amplitudes such as gravitational ones, the kinematic condition for zeros causes potential divergences of propagators. We also show the detailed mechanism of eliminating such divergences.
Topics & Concepts
AmplitudeScalar (mathematics)PhysicsPropagatorMathematical physicsGravitationTree (set theory)Dirac (video compression format)Sigma modelTheoretical physicsMathematicsClassical mechanicsQuantum mechanicsMathematical analysisNonlinear systemGeometryNeutrinoCosmology and Gravitation TheoriesBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity Theories