New features of FORM and future plans

Non-abelian Z-theory: Berends-Giele recursion for the α ′-expansion of disk integrals

“…= 40.320 integrals in the 10-point simpset basis to their leading order ∼ ζ7, ζ2ζ5, ζ 2 2 ζ3 takes about two hours on a laptop. The program is written in FORM [79,80], and improvements to the code are certainly possible and highly welcomed.…”

“…As a practical result of this work, the BG recursion relations for disk integrals Z(P |Q) with any given words P and Q of arbitrary multiplicity is made publicly available up to order α 7 in a FORM [79,80] program called BGap. In order to ease replication, the auxiliary computer programs used in the derivation of the BG recursion via regularized polylogarithms are also available to download on the website [29].…”

Study of the Electroweak Symmetry Breaking Sector for the LHC

“…The one-loop computation, rather lengthy because of the number of Feynman diagrams, was automated with the Mathematica programs FeynRules [142], FeynArts [143] and FormCalc [144,145], which take a Lagrangian as input and give as output an analytical expression for the one-loop scattering amplitudes in terms of the Passarino-Veltman functions. For a proper definition of these functions, please see Appendix C. The NLO Feynman Diagrams for all the studied processes are in Appendix F. The value of the NLO scattering amplitude ωω → ωω is…”

“…For computing the amplitudes at NLO, the set of programs FeynRules [142], FeynArts [143] and FormCalc [144,145] has been used. These programs take as input a Lagrangian and a wanted scattering process, and give as output its matrix element.…”

“…C.2. These diagrams have been drawn with FeynArts [143] and generated with FeynRules [142], FeynArts [143] and FormCalc [144,145], as explained in page 31.…”