Power corrections to event shapes and factorization

Feb, 1999
15 pages
Published in:
  • Nucl.Phys.B 555 (1999) 335-351
e-Print:
Report number:
  • ITP-SB-98-73,
  • LPT-ORSAY-98-80

Citations per year

199920062013202020250510152025
Abstract:
We study power corrections to the differential thrust, heavy mass and related event shape distributions in e+ee^+e^--annihilation, whose values, ee, are proportional to jet masses in the two-jet limit, e0e\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 QQ. They organize all power corrections of the form 1/(eQ)n1/(eQ)^n, for arbitrary nn, and carry information on a class of universal matrix elements of the energy-momentum tensor in QCD, directly related to the energy-energy correlations.
Note:
  • 15 pages, LaTeX style, 1 figure embedded with epsf.sty Report-no: ITP-SB-98-73, LPT-Orsay-98-80
  • electron positron: annihilation
  • jet: electroproduction
  • multiple production
  • event shape analysis
  • quantum chromodynamics: perturbation theory
  • correction: nonperturbative
  • factorization
  • correlation function
  • jet: thrust
  • tensor: energy-momentum