Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Theoretical and Experimental Status of the Indirect Higgs Boson Mass Determination in the Standard Model

U. Baur, R. Clare, J. Erler, S. Heinemeyer, D. Wackeroth, G. Weiglein, D. R. Wood

TL;DR

The paper analyzes how theoretical and experimental uncertainties affect the indirect determination of the Higgs mass MH in the Standard Model via electroweak precision observables. It dissects parametric and intrinsic uncertainties, reports on the status of higher-order corrections, and presents a global fit yielding MH ≈ 97 GeV with a 95% CL upper bound near 194 GeV. It also assesses future collider scenarios, outlining the theoretical and experimental advances needed to improve MH precision to around 8% at facilities like GigaZ. Overall, the work provides a framework for comparing current and future constraints on MH and emphasizes the role of precision EWPO in testing SM consistency and potential new physics.

Abstract

The impact of theoretical and experimental uncertainties on the indirect determination of the Higgs boson mass, MH, in the Standard Model (SM) is discussed. Special emphasis is put on the electroweak precision observables MW (the W boson mass) and sin^2(theta_eff) (the effective leptonic mixing angle). The current uncertainties of the theoretical predictions for MW and sin^2(theta_eff) due to missing higher order corrections are conservatively estimated to delta MW \approx 7 MeV and delta sin^2(theta_eff) \approx 7 x 10^-5 . Expectations and necessary theoretical improvements for future colliders are explored. Results for the indirect MH determination are presented based on the present experimental and theoretical precisions as well as on improvements corresponding to the prospective situation at future colliders. The treatment of the different future colliders is done in a uniform way in order to allow for a direct comparison of the accuracies that can be reached. Taking all experimental, theoretical, and parametric uncertainties into account, a current upper bound on MH of \sim 200 GeV is obtained. Furthermore we find in a conservative approach that a Linear Collider with GigaZ capabilities can achieve a relative precision of about 8% (or better) in the indirect determination of MH.

Theoretical and Experimental Status of the Indirect Higgs Boson Mass Determination in the Standard Model

TL;DR

The paper analyzes how theoretical and experimental uncertainties affect the indirect determination of the Higgs mass MH in the Standard Model via electroweak precision observables. It dissects parametric and intrinsic uncertainties, reports on the status of higher-order corrections, and presents a global fit yielding MH ≈ 97 GeV with a 95% CL upper bound near 194 GeV. It also assesses future collider scenarios, outlining the theoretical and experimental advances needed to improve MH precision to around 8% at facilities like GigaZ. Overall, the work provides a framework for comparing current and future constraints on MH and emphasizes the role of precision EWPO in testing SM consistency and potential new physics.

Abstract

The impact of theoretical and experimental uncertainties on the indirect determination of the Higgs boson mass, MH, in the Standard Model (SM) is discussed. Special emphasis is put on the electroweak precision observables MW (the W boson mass) and sin^2(theta_eff) (the effective leptonic mixing angle). The current uncertainties of the theoretical predictions for MW and sin^2(theta_eff) due to missing higher order corrections are conservatively estimated to delta MW \approx 7 MeV and delta sin^2(theta_eff) \approx 7 x 10^-5 . Expectations and necessary theoretical improvements for future colliders are explored. Results for the indirect MH determination are presented based on the present experimental and theoretical precisions as well as on improvements corresponding to the prospective situation at future colliders. The treatment of the different future colliders is done in a uniform way in order to allow for a direct comparison of the accuracies that can be reached. Taking all experimental, theoretical, and parametric uncertainties into account, a current upper bound on MH of \sim 200 GeV is obtained. Furthermore we find in a conservative approach that a Linear Collider with GigaZ capabilities can achieve a relative precision of about 8% (or better) in the indirect determination of MH.

Paper Structure

This paper contains 3 sections, 2 equations, 1 figure, 3 tables.

Table of Contents

  1. Introduction
  2. Current theoretical uncertainties of EWPO and the prediction of $M_H$
  3. Future indirect determinations of $M_H$

Figures (1)

  • Figure 1: $\Delta\chi^2=\chi^2 - \chi^2_{\rm min}$ from a global fit to all available data ewwg as a function of the SM Higgs boson mass, $M_H$. The width of the "Blue Band" indicates the effect of "intrinsic" uncertainties from unknown higher order corrections (see text). The yellow region is excluded by direct Higgs searches at LEP2 lephiggs.