On-shell recursion relations for all Born QCD amplitudes
Author(s) -
Christian Schwinn,
Stefan Weinzierl
Publication year - 2007
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2007/04/072
Subject(s) - helicity , physics , gluon , recursion (computer science) , quark , spinor , particle physics , amplitude , quantum chromodynamics , shell (structure) , quantum electrodynamics , mathematical physics , quantum mechanics , mathematics , materials science , algorithm , composite material
We consider on-shell recursion relations for all Born QCD amplitudes. Thisincludes amplitudes with several pairs of quarks and massive quarks. We give adetailed description on how to shift the external particles in spinor space andclarify the allowed helicities of the shifted legs. We proof that thecorresponding meromorphic functions vanish at z --> infinity. As an applicationwe obtain compact expressions for helicity amplitudes including a pair ofmassive quarks, one negative helicity gluon and an arbitrary number of positivehelicity gluons.Comment: 30 pages, minor change
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