We present a method for calculating event shapes in QCD based on correlation functions of conserved currents. The method has been previously applied to the maximally supersymmetric Yang-Mills theory, but we demonstrate that supersymmetry is not essential. As a proof of concept, we consider the simplest example of a charge-charge correlation at one loop (leading order). We compute the correlation function of four electromagnetic currents and explain in detail the steps needed to extract the event shape from it. The result is compared to the standard amplitude calculation. The explicit four-point correlation function may also be of interest for the CFT community.
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Univ Liverpool, Dept Math Sci, Div Theoret Phys, Liverpool L69 3BX, Merseyside, EnglandUniv Liverpool, Dept Math Sci, Div Theoret Phys, Liverpool L69 3BX, Merseyside, England
Gracey, J. A.
Thelan, D.
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Univ Liverpool, Dept Math Sci, Div Theoret Phys, Liverpool L69 3BX, Merseyside, EnglandUniv Liverpool, Dept Math Sci, Div Theoret Phys, Liverpool L69 3BX, Merseyside, England
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Univ Washington, Inst Nucl Theory, Box 351550, Seattle, WA 98195 USA
Lawrence Berkeley Natl Lab, Nucl Sci Div, 1 Cyclotron Rd, Berkeley, CA 94720 USAUniv Washington, Inst Nucl Theory, Box 351550, Seattle, WA 98195 USA
Vovchenko, Volodymyr
Koch, Volker
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Lawrence Berkeley Natl Lab, Nucl Sci Div, 1 Cyclotron Rd, Berkeley, CA 94720 USAUniv Washington, Inst Nucl Theory, Box 351550, Seattle, WA 98195 USA
Koch, Volker
Shen, Chun
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Wayne State Univ, Dept Phys & Astron, Detroit, MI 48201 USA
Brookhaven Natl Lab, RIKEN BNL Res Ctr, Upton, NY 11973 USAUniv Washington, Inst Nucl Theory, Box 351550, Seattle, WA 98195 USA