Improving jet distributions with effective field theory.
We obtain perturbative expressions for jet distributions using soft-collinear effective theory (SCET). By matching SCET onto QCD at high energy, tree level matrix elements and higher order virtual corrections can be reproduced in SCET. The resulting operators are then evolved to lower scales, with additional operators being populated by required threshold matchings in the effective theory. We show that the renormalization group evolution and threshold matchings reproduce the Sudakov factors and splitting functions of QCD, and that the effective theory naturally combines QCD matrix elements and parton showers. The effective theory calculation is systematically improvable and any higher order perturbative effects can be included by a well-defined procedure.
Bauer
Christian W
CW
Ernest Orlando Lawrence Berkeley National Laboratory and University of California, Berkeley, California 94720, USA. cwbauer@lbl.gov
Schwartz
Matthew D
MD