Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 6, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP06(2022)114
Keywords
Deep Inelastic Scattering (Phenomenology); QCD Phenomenology
Categories
Funding
- FRS-FNRS agency [T.04142.18]
- European Union's Horizon 2020 research and innovation programme as part of the Marie Sklodowska-Curie Innovative Training Network MCnetITN3 [722104]
- FRS-FNRS agency via the IISN maxlhc [4.4503.16]
- FNRS Excellence of Science EOS be.h Project [30820817]
- Narodowe Centrum Nauki [2019/34/E/ST2/00186]
- VBSCan COST Action [CA16108]
- Polska Akademia Nauk [PAN.BFD.S.BDN. 613. 022. 2021 -PASIFIC 1]
- European Union's Horizon 2020 research and innovation program under the Sklodowska-Curie grant [847639]
- Polish Ministry of Education and Science
- Fond de la Recherche Scientifique de Belgique (FRS-FNRS) [2.5020.11]
- Walloon Region
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This study re-evaluates the validity of using W and Z parton distribution functions (PDFs) at leading order in 2 -> n processes in a muon collider, and investigates a variety of 2 -> n processes. To conduct this study, the Effective Vector Boson Approximation is implemented in the Monte Carlo event generator, laying the foundation for developing matrix-element matching prescriptions involving electroweak parton showers and renormalized electroweak PDFs.
Due to the inclination for forward gauge radiation, lepton colliders beyond a few TeV are effectively electroweak (EW) boson colliders, suggesting the treatment of EW bosons as constituents of high-energy leptons. In the context of a muon collider, we revisit the validity of W and Z parton distribution functions (PDFs) at leading order in 2 -> n process. We systematically investigate universal and quasi-universal power-law and logarithmic corrections that arise when deriving (polarized) weak boson PDFs in the collinear limit. We go on to survey a multitude of 2 -> n processes at root s = 2-30 TeV via polarized and unpolarized EW boson fusion/scattering. To conduct this study, we report a public implementation of the Effective W/Z and Weizsacker-Williams Approximations, which we collectively call the Effective Vector Boson Approximation, into the Monte Carlo event generator MadGraph5_aMC@NLO. This implementation lays the groundwork for developing matrix-element matching prescriptions involving EW parton showers and renormalized EW PDFs. To further with this agenda, we give recommendations on using W/Z PDFs.
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