Abstract
The effect of the photon emission (bremsstrahlung) in the cross section of the process of direct production of the Higgs boson in the future high luminosity electron and muon colliders is calculated. It was found that cross section at the top of the Higgs boson resonance peak is reduced by factor 0.347 for the electron collider and 0.548 for the muon collider. Machine spread of the centre of the mass energy of 4.2MeV (equal to the Higgs width) would reduce peak cross section further, by factor 0.170 and 0.256 (QED and energy spread) for electron and muon beams respectively. Possible uncertainties in the resummed QED calculations are discussed. Numerical results for the lineshape cross section including QED and many values of the machine energy spread are provided.
Highlights
Observation of the Higgs particle at CERN [1,2,3] has opened the new era of precise study of its properties
In the Future Circular Collider with e± beams (FCCee) considered at CERN featuring very high luminosity, this process would in principle be observable, provided one could eliminate copious background processes
The influence of the beam energy spread on observability of the direct Higgs observation in FCCee collider was already discussed at the 8th FCC-ee Physics Workshop [4]
Summary
Observation of the Higgs particle at CERN [1,2,3] has opened the new era of precise study of its properties. Machine energy spread and an additional smearing of the beam energy due to QED bremsstrahlung are major points in the feasibility studies of these projects. This is why the present study was undertaken. In this work we shall concentrate mainly on calculating effects due to initial state radiation of multiple photons This will be done exploiting past experience in calculating very precisely similar QED effect for the Z boson productions at LEP experiments, for instance in ref. The paper is organized as follows: After defining the Born cross section for the Higgs process production in the lepton annihilation, we will discuss the effect of the initial state radiation (ISR) corrections. The analogous effects in planned muon colliders will be discussed and numerical results will be presented
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