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Power corrections to event shapes and factorization

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arxiv hep-ph/9902341 v1 pith:NSH5OY77 submitted 1999-02-15 hep-ph

Power corrections to event shapes and factorization

classification hep-ph
keywords correctionseventfactorizationpowershapedifferentdifferentialdistributions
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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