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Physical Review D

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Getting more flavor out of one-flavor QCD

CERN Theory Division, CH-1211 Geneva 23, Switzerland

^*thomas.melia@cern.ch

Phys. Rev. D 89, 074012 – Published 3 April, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.074012

Abstract

We argue that no notion of flavor is necessary when performing amplitude calculations in perturbative QCD with massless quarks. We show this explicitly at tree level, using a flavor recursion relation to obtain multiflavored QCD from one-flavor QCD. The method relies on performing a color decomposition, under which the one-flavor primitive amplitudes have a structure which is restricted by planarity and cyclic ordering. An understanding of $S U (3)_{c}$ group theory relations between QCD primitive amplitudes and their organization around the concept of a Dyck tree is also necessary. The one-flavor primitive amplitudes are effectively $N = 1$ supersymmetric, and a simple consequence is that all of tree-level massless QCD can be obtained from Drummond and Henn’s closed form solution to tree-level $N = 4$ super Yang-Mills theory.

Article Text

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