Two-loop Jet-Function and Jet-Mass for Top Quarks

Jan, 2008
25 pages
Published in:
  • Phys.Rev.D 77 (2008) 094008
e-Print:
Report number:
  • MIT-CTP-3916

Citations per year

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Abstract: (arXiv)
We compute the two-loop heavy quark jet-function in the heavy quark limit. This is one of the key ingredients in next-to-next-to-leading order (NNLO) and next-to-next-to-leading-log order (NNLL) computations of the invariant mass distribution of top-jets at a future e+e- collider. The shape of the top invariant mass distribution is affected by large logs which we compute at NNLL order. Exploiting the non-abelian exponentiation theorem, a definition of the top jet-mass is given which is transitive and whose renormalization group evolution is determined by the cusp-anomalous dimension to all orders in perturbation theory. Relations of the jet-mass to the pole, MSbar, and 1S masses are presented at two-loop order.
  • 12.39.Hg
  • 12.38.Cy
  • electron positron: annihilation
  • top: pair production
  • top
  • jet: top
  • quantum chromodynamics
  • perturbation theory: higher-order
  • leading logarithm approximation: higher-order
  • renormalization