N=4 Supersymmetric Yang-Mills theory in soft-collinear effective theory

Details N=4 Supersymmetric Yang-Mills theory in soft-collinear effective theory N=4 Supersymmetric Yang-Mills theory in soft-collinear effective theory

2010-11-29

arxiv.org/abs/1011.6145v2

Phys.Rev.D83:016015,2011

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, 6 figures: Comments on the power counting of the scalar-fermion interaction are added

Scientific paper

10.1103/PhysRevD.83.016015

We formulate N=4 supersymmetric Yang-Mills theory in terms of soft-collinear effective theory. The effective Lagrangian in soft-collinear effective theory is developed according to the power counting by a small parameter \eta \sim p_{\perp}/Q. All the particles in this theory are in the adjoint representation of the SU(N) gauge group, and we derive the collinear gauge-invariant Lagrangian in the adjoint and fundamental representations respectively. We consider collinear and ultrasoft Wilson lines in this theory, and show the ultrasoft factorization of the collinear Lagrangian by redefining the collinear fields with the use of the ultrasoft Wilson lines. The vertex correction for a vector fermion current at one loop is explicitly presented as an example to illustrate how the computation is performed in the effective theory.

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