Higgs boson production at ${\mu }^{+}{\mu }^{+}$ colliders

Abstract

We study Higgs boson production at ${\mu }^{+}{\mu }^{+}$ colliders at high energy. Since both initial-state particles are positively charged, there is no $W$ boson fusion at the leading order, as it requires a $W^{+}{W}^{-}$ pair. However, we find that the cross section of the higher-order, $\gamma$- and $Z$-mediated $W$ boson fusion process is large at high center-of-mass energies $\sqrt{s}$, growing as $(\log s{)}^3$. This is in contrast to the $\log s$ behavior of the leading-order $W$ boson fusion. Thus, even though it is a higher-order process, the rate of Higgs boson production for 10 TeV energies at ${\mu }^{+}{\mu }^{+}$ colliders with polarized beams can be as high as about half of the one at ${\mu }^{+}{\mu }^{-}$ colliders, assuming the same integrated luminosity. To calculate the cross section of this process accurately, we carefully treat the collinear emission of the photon in the intermediate state. The thereby obtained large cross section furthermore shows the significance of Higgs production with an extra $W$ boson in the final state also at ${\mu }^{+}{\mu }^{-}$ and $e^{+}{e}^{-}$ colliders.

arXiv comment28 pages, 8 figures

References in corpus (15)

• The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations
• Improving the Weizsäcker-Williams Approximation in Electron-Proton Collisions
• High Energy Leptonic Collisions and Electroweak Parton Distribution Functions
• Electroweak Splitting Functions and High Energy Showering
• The Effective Vector Boson Approximation in High-Energy Muon Collisions
• Standard Model Parton Distributions at Very High Energies
• $\mu$TRISTAN
• Towards Collinear Evolution Equations in Electroweak Theory
• Electroweak Evolution Equations
• LePDF: Standard Model PDFs for High-Energy Lepton Colliders
• Electroweak Logarithms in Inclusive Cross Sections
• Electroweak Gauge Boson Parton Distribution Functions
• New Physics in $b\to s\mu \mu$: FCC-hh or a Muon Collider?
• Combining initial-state resummation with fixed-order calculations of electroweak corrections
• Experimentation at a muon collider

Cited by in corpus (2)

• Seesaw Models under the Lens of Angular Distributions at ${\mu }^{+}{\mu }^{-},{\mu }^{+}{\mu }^{+},{\mu }^{+}\gamma$ and ${\mu }^{+}{e}^{-}$ Colliders
• Lepton flavor violating top quark FCNC processes at the $\mu$TRISTAN