First pQCD predictions for event isotropy distributions at LO, NLO, and NLL+NLO accuracy in e+e- collisions.
Adler Function, Sum Rules and Crewther Relation of Order O(alpha_s^4): the Singlet Case
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abstract
The analytic result for the singlet part of the Adler function of the vector current in a general gauge theory is presented in five-loop approximation. Comparing this result with the corresponding singlet part of the Gross-Llewellyn Smith sum rule [1], we successfully demonstrate the validity of the generalized Crewther relation for the singlet part. This provides a non-trivial test of both our calculations and the generalized Crewther relation. Combining the result with the already available non-singlet part of the Adler function [2,3] we arrive at the complete ${\cal O}(\alpha_s^4)$ expression for the Adler function and, as a direct consequence, at the complete ${\cal O}(\alpha_s^4)$ correction to the $e^+ e^-$ annihilation into hadrons in a general gauge theory.
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2026 2representative citing papers
A participant's review of how factorization, infrared safety, resummation, computer algebra, and spinor methods turned perturbative QCD into a quantitative tool during 1976–2000.
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Event isotropy in perturbative QCD
First pQCD predictions for event isotropy distributions at LO, NLO, and NLL+NLO accuracy in e+e- collisions.
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Perturbative QCD as a quantitative tool in the years 1976-2000
A participant's review of how factorization, infrared safety, resummation, computer algebra, and spinor methods turned perturbative QCD into a quantitative tool during 1976–2000.