Power corrections to event shapes and factorization

Details Power corrections to event shapes and factorization Power corrections to event shapes and factorization

1999-02-15

arxiv.org/abs/hep-ph/9902341v1

Nucl.Phys.B555:335-351,1999

Physics

High Energy Physics

High Energy Physics - Phenomenology

15 pages, LaTeX style, 1 figure embedded with epsf.sty

Scientific paper

10.1016/S0550-3213(99)00308-9

We study power corrections to the differential thrust, heavy mass and related event shape distributions in $e^+e^-$-annihilation, whose values, $e$, are proportional to jet masses in the two-jet limit, $e\to 0$. The factorization properties of these differential distributions imply that they may be written as convolutions of nonperturbative "shape" functions, describing the emission of soft quanta by the jets, and resummed perturbative cross sections. The infrared shape functions are different for different event shapes, and depend on a factorization scale, but are independent of the center-of-mass energy $Q$. They organize all power corrections of the form $1/(eQ)^n$, for arbitrary $n$, and carry information on a class of universal matrix elements of the energy-momentum tensor in QCD, directly related to the energy-energy correlations.

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