Abstract
We discuss the renormalization of the electroweak Standard Model at 1-loop using the leptonic effective weak mixing angle as one of the input parameters. We evaluate the impact of this choice in the prediction of the forward-backward asymmetry for the neutral current Drell-Yan process. The proposed input scheme is suitable for a direct determination of the effective leptonic weak mixing angle from the experimental data.
Highlights
The weak mixing angle [1,2,3,4] is a fundamental parameter of the theory of the electroweak (EW) interaction, as it determines the combination of the gauge fields associated to the third component of the weak isospin and to the hypercharge, yielding the photon and the Z boson fields
Two conceptually different strategies can be pursued for the direct determination of sin2 θleff: with, whenever possible, a model independent as well as a pure Standard Model (SM) approach. The latter will be useful as an internal self-consistency check of the SM, through the comparison of the direct determination with the most precise available calculations of sin2 θleff
We study at NLO EW the neutral channel (NC) DY process, in the setup described in [35] but without acceptance cuts on the lepton transverse momentum and pseudorapidity, with
Summary
The weak mixing angle [1,2,3,4] is a fundamental parameter of the theory of the electroweak (EW) interaction, as it determines the combination of the gauge fields associated to the third component of the weak isospin and to the hypercharge, yielding the photon and the Z boson fields. The leptonic effective weak mixing angle sin θleff, defined at the Z resonance, has been proposed [5,6,7,8,9,10] as a quantity sensitive to new physics, offering the opportunity of a stringent test of the Standard Model (SM). Two conceptually different strategies can (and should) be pursued for the direct determination of sin θleff: with, whenever possible, a model independent as well as a pure SM approach. The latter will be useful as an internal self-consistency check of the SM, through the comparison of the direct determination with the most precise available calculations of sin θleff. The use of sin θleff as input parameter of the electroweak sector has been proposed in Refs. [17,18,19,20,21] in the framework of the high-precision measurements at the Z boson resonance and higher energies at future eþe− colliders
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