C-parameter distribution at N3LL' including power corrections

Autor(en)
Andre H. Hoang, Daniel W. Kolodrubetz, Vicent Mateu Barreda, Iain W. Stewart
Abstrakt

We compute the e+e- C-parameter distribution using the soft-collinear effective theory with a resummation to next-to-next-to-next-to-leading-log prime accuracy of the most singular partonic terms. This includes the known fixed-order QCD results up to O(αs3), a numerical determination of the two-loop nonlogarithmic term of the soft function, and all logarithmic terms in the jet and soft functions up to three loops. Our result holds for C in the peak, tail, and far tail regions. Additionally, we treat hadronization effects using a field theoretic nonperturbative soft function, with moments Ωn. To eliminate an O(ΛQCD) renormalon ambiguity in the soft function, we switch from the MS¯ to a short distance "Rgap" scheme to define the leading power correction parameter Ω1. We show how to simultaneously account for running effects in Ω1 due to renormalon subtractions and hadron-mass effects, enabling power correction universality between C-parameter and thrust to be tested in our setup. We discuss in detail the impact of resummation and renormalon subtractions on the convergence. In the relevant fit region for αs(mZ) and Ω1, the perturbative uncertainty in our cross section is 2.5% at Q=mZ.

Organisation(en)
Teilchenphysik, Forschungsplattform Internationales Erwin Schrödinger Institut für Mathematik und Physik
Externe Organisation(en)
Massachusetts Institute of Technology
Journal
Physical Review D
Band
91
Anzahl der Seiten
35
ISSN
1550-7998
Publikationsdatum
05-2015
Peer-reviewed
Ja
ÖFOS 2012
103034 Teilchenphysik
Schlagwörter
ASJC Scopus Sachgebiete
Nuclear and High Energy Physics, Physics and Astronomy (miscellaneous)
Link zum Portal
https://ucris.univie.ac.at/portal/de/publications/cparameter-distribution-at-n3ll-including-power-corrections(d4b1386e-422c-41c1-97bb-f635f3fcef93).html