Abstract
Circular electron positron colliders, such as the CEPC and FCC-ee, have been proposed to measure Higgs boson properties precisely, test the Standard Model, search for physics beyond the Standard Model, and so on. One of the important goals of these colliders is to measure the W boson mass with great precision by taking data around the W-pair production threshold. In this paper, the data-taking scheme is investigated to maximize the achievable precisions of the W boson mass and width with a threshold scan, when various systematic uncertainties are taken into account. The study shows that an optimal and realistic data-taking scheme is to collect data at three center-of-mass energies and that precisions of 1.0 MeV and 3.4 MeV can be achieved for the mass and width of the W boson, respectively, with a total integrated luminosity of mathscr {L}=3.2 ab^{-1} and several assumptions of the systematic uncertainty sources.
Highlights
In the EW theory, the W boson mass, mW, can be expressed as a function of the Z boson mass, m Z ; the finestructure constant, α; the Fermi constant, Gμ; the top-quark mass, mt ; and the Higgs boson mass, m H
Different data-taking schemes are investigated for the precise measurements of the W boson mass and width at further circular electron positron colliders, such as the CEPC and FCC-ee
For a fixed total integrated luminosity, L = 3.2 ab−1, and the expectations of the systematic uncertainties, taking data at three energy points is found to be optimal with the energies and luminosity allocations listed in Eq 23
Summary
In the EW theory, the W boson mass, mW , can be expressed as a function of the Z boson mass, m Z ; the finestructure constant, α; the Fermi constant, Gμ; the top-quark mass, mt ; and the Higgs boson mass, m H. The first one is the direct reconstruction method, with kinematically-constrained or mass reconstructions of W +W −, which is the most used in the current experimental results of both hadron and lepton colliders. This method suffers from large systematic uncertainties such as those from hadronization modeling, radiative corrections, lepton energy scale, missing energy, and so on. The second method for mW measuring is to use the lepton end-point energy.
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