Measurement of the Higgs boson mass and $e^{+}{e}^{-}\to ZH$ cross section using $Z\to \hat{I}{¼}^{+}\hat{I}{¼}^{-}$ and $Z\to e^{+}{e}^{-}$ at the ILC

Abstract

This paper presents a full simulation study of the measurement of the production cross section ($\ddot{I}{ƒ}_{\mathrm{ZH}}$) of the Higgsstrahlung process ${\mathrm{e}}^{+}{\mathrm{e}}^{-}\to \mathrm{ZH}$ and the Higgs boson mass ($M_{\mathrm{H}}$) at the International Linear Collider (ILC), using events in which a Higgs boson recoils against a Z boson decaying into a pair of muons or electrons. The analysis is carried out for three center-of-mass energies $\sqrt{s}$ = 250, 350, and 500 GeV, and two beam polarizations ${\mathrm{e}}_{\mathrm{L}}^{-}{\mathrm{e}}_{\mathrm{R}}^{+}$ and ${\mathrm{e}}_{\mathrm{R}}^{-}{\mathrm{e}}_{\mathrm{L}}^{+}$, for which the polarizations of ${\mathrm{e}}^{-}$ and ${\mathrm{e}}^{+}$ are $\left(P{\mathrm{e}}^{-},P{\mathrm{e}}^{+}\right)$ =($-$80\%, +30\%) and (+80\%, $-$30\%), respectively. Assuming an integrated luminosity of 250 $\mathrm{f}{\mathrm{b}}^{-1}$ for each beam polarization at $\sqrt{s}$ = 250 GeV, where the best lepton momentum resolution is obtainable, $\ddot{I}{ƒ}_{\mathrm{ZH}}$ and $M_{\mathrm{H}}$ can be determined with a precision of 2.5\% and 37 MeV for ${\mathrm{e}}_{\mathrm{L}}^{-}{\mathrm{e}}_{\mathrm{R}}^{+}$ and 2.9\% and 41 MeV for ${\mathrm{e}}_{\mathrm{R}}^{-}{\mathrm{e}}_{\mathrm{L}}^{+}$, respectively. Regarding a 20 year ILC physics program, the expected precisions for the $\mathrm{HZZ}$ coupling and $M_{\mathrm{H}}$ are estimated to be 0.4\% and 14 MeV, respectively. The event selection is designed to optimize the precisions of $\ddot{I}{ƒ}_{\mathrm{ZH}}$ and $M_{\mathrm{H}}$ while minimizing the bias on the measured $\ddot{I}{ƒ}_{\mathrm{ZH}}$ due to discrepancy in signal efficiencies among Higgs decay modes. For the first time, model independence has been demonstrated to a sub-percent level for the $\ddot{I}{ƒ}_{\mathrm{ZH}}$ measurement at each of the three center-of-mass energies. The results presented show the impact of center-of-mass energy and beam polarization on the evaluated precisons and serve as a benchmark for the planning of the ILC run scenario.

arXiv admin note: substantial text overlap with arXiv:1601.06481; v3: Fix typo in Table I