Scheme variations of the QCD coupling
1 Instituto de Física de São Carlos, Universidade de São Paulo, CP 369, 13560-970 São Carlos, SP, Brazil
2 IFAE, BIST, Campus UAB, 08193 Bellaterra (Barcelona) Spain
3 ICREA, Pg. Lluís, Companys 23, 08010 Barcelona, Spain
a Speaker. e-mail: firstname.lastname@example.org
Published online: 22 March 2017
The Quantum Chromodynamics (QCD) coupling αs is a central parameter in the Standard Model of particle physics. However, it depends on theoretical conventions related to renormalisation and hence is not an observable quantity. In order to capture this dependence in a transparent way, a novel definition of the QCD coupling, denoted by â, is introduced, whose running is explicitly renormalisation scheme invariant. The remaining renormalisation scheme dependence is related to transformations of the QCD scale Λ, and can be parametrised by a single parameter C. Hence, we call â the C-scheme coupling. The dependence on C can be exploited to study and improve perturbative predictions of physical observables. This is demonstrated for the QCD Adler function and hadronic decays of the τ lepton.
© The Authors, published by EDP Sciences, 2017
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