CSW rules for a massive scalar

Abstract

We derive the analog of the Cachazo-Svrcek-Witten (CSW) diagrammatic Feynman rules for four dimensional Yang-Mills gauge theory coupled to a massive colored scalar. The mass term is shown to give rise to a new tower of vertices in addition to the CSW vertices for massless scalars in non-supersymmetric theories. The rules are derived directly from an action, once through a canonical transformation within light-cone Yang-Mills and once by the construction of a twistor action. The rules are tested against known results in several examples and are used to simplify the proof of on-shell recursion relations for amplitudes with massive scalars.

12 pages, 2 figures; v2: minor typos corrected and clarifications added, published version

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• MHV Diagrams in Momentum Twistor Space
• Tree-Level Formalism
• Dressed scalar propagator in a non-abelian background from the worldline formalism
• One-Loop Gluonic Amplitudes from Single Unitarity Cuts
• On-shell supersymmetry for massive multiplets
• Primary Feynman rules to calculate the epsilon-dimensional integrand of any 1-loop amplitude
• Twistor actions for gauge theory and gravity
• MHV Diagrams from an All-Line Recursion Relation
• Integrands for QCD rational terms and N=4 SYM from massive CSW rules
• The Coulomb-branch S-matrix from massless amplitudes
• Feynman Rules for the Rational Part of One-loop QCD Corrections in the MSSM
• Twistor-inspired construction of massive quark amplitudes
• CSW rules for massive matter legs and glue loops
• The MHV Lagrangian for a spontaneously broken gauge theory
• Recent developments for multi-leg QCD amplitudes with massive particles
• MHV Lagrangians for Yang--Mills and QCD
• Holonomies of gauge fields in twistor space 5: amplitudes of gluons and massive scalars
• Holonomies of gauge fields in twistor space 6: incorporation of massive fermions