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Full O(alpha) corrections to e+e- --> nu nu-bar H by GRACE

G. Belanger, F. Boudjema, J. Fujimoto, T. Ishikawa, T. Kaneko, K. Kato, Y. Shimizu

TL;DR

The paper addresses the need for precise SM predictions of single Higgs production in $e^+e^-$ by computing the full ${\cal O}(\alpha)$ electroweak corrections, including both Higgs-strahlung and $W$ fusion, using the GRACE-LOOP framework with a generalized non-linear gauge. It generates and evaluates all relevant one-loop amplitudes for $e^+e^- \to \nu\bar{\nu}H$ and the associated hard-photon process, performing stringent UV/IR and gauge checks to ensure numerical stability. The numerical results at $\sqrt{s}=500$ GeV show small corrections for a light Higgs ($M_H \sim 150$ GeV) but up to about $-10\%$ corrections for heavier Higgs ($M_H=350$ GeV), along with a radiative tail in the Higgs-energy distribution indicating the need for multiple photon emissions in realistic predictions. Overall, the work demonstrates a fully automated, gauge-invariant approach to high-precision Higgs production predictions at future linear colliders and highlights the importance of higher-order effects in interpreting precision measurements.

Abstract

We present the full O(alpha) corrections to single Higgs production in e+e- collision. The computation is performed with the help of GRACE-LOOP where a generalized non-linear gauge fixing condition is implemented. The numerical results are checked by testing their UV and IR finiteness as well as their independence on all five non-linear gauge parameters. We find that for a 500 GeV collider and a light Higgs boson of mass 150GeV, the total correction is small when the results are expressed in terms of alpha rather than G_mu. For a higher Higgs boson mass of 350GeV, the correction is of order -10%.

Full O(alpha) corrections to e+e- --> nu nu-bar H by GRACE

TL;DR

The paper addresses the need for precise SM predictions of single Higgs production in by computing the full electroweak corrections, including both Higgs-strahlung and fusion, using the GRACE-LOOP framework with a generalized non-linear gauge. It generates and evaluates all relevant one-loop amplitudes for and the associated hard-photon process, performing stringent UV/IR and gauge checks to ensure numerical stability. The numerical results at GeV show small corrections for a light Higgs ( GeV) but up to about corrections for heavier Higgs ( GeV), along with a radiative tail in the Higgs-energy distribution indicating the need for multiple photon emissions in realistic predictions. Overall, the work demonstrates a fully automated, gauge-invariant approach to high-precision Higgs production predictions at future linear colliders and highlights the importance of higher-order effects in interpreting precision measurements.

Abstract

We present the full O(alpha) corrections to single Higgs production in e+e- collision. The computation is performed with the help of GRACE-LOOP where a generalized non-linear gauge fixing condition is implemented. The numerical results are checked by testing their UV and IR finiteness as well as their independence on all five non-linear gauge parameters. We find that for a 500 GeV collider and a light Higgs boson of mass 150GeV, the total correction is small when the results are expressed in terms of alpha rather than G_mu. For a higher Higgs boson mass of 350GeV, the correction is of order -10%.

Paper Structure

This paper contains 6 sections, 6 equations, 2 figures, 2 tables.

Table of Contents

  1. Introduction
  2. GRACE-LOOP system
  3. Checks of the system
  4. Numerical results
  5. Summary
  6. Acknowledgment

Figures (2)

  • Figure 1: $\cos\theta$ distributions of Higgs boson at $\sqrt{s}=500$GeV and $M_{Higgs}=350$ GeV. The solid and dashed lines show $O(\alpha)$ corrected and tree level distributions, respectively.
  • Figure 2: Energy distributions of Higgs boson at $\sqrt{s}=500$GeV and $M_{Higgs}=350$ GeV. The solid and dashed lines show $O(\alpha)$ corrected and tree level distributions, respectively.