000615676 001__ 615676 000615676 005__ 20250723172552.0 000615676 0247_ $$2arXiv$$aarXiv:2410.06991 000615676 0247_ $$2doi$$a10.22323/1.476.0092 000615676 0247_ $$2datacite_doi$$a10.3204/PUBDB-2024-06240 000615676 0247_ $$2altmetric$$aaltmetric:169349530 000615676 0247_ $$2openalex$$aopenalex:W4405495666 000615676 037__ $$aPUBDB-2024-06240 000615676 041__ $$aEnglish 000615676 082__ $$a530 000615676 088__ $$2DESY$$aDESY-24-150 000615676 088__ $$2arXiv$$aarXiv:2410.06991 000615676 088__ $$2Other$$aPITT-PACC-2410 000615676 088__ $$2Other$$aSI-HEP-2024-22 000615676 088__ $$2Other$$aIRMP-CP3-24-29 000615676 088__ $$2Other$$aMSUHEP-24-017 000615676 088__ $$2Other$$aCOMETA-2024-25 000615676 1001_ $$0P:(DE-HGF)0$$aMa, Yang$$b0$$eCorresponding author 000615676 1112_ $$aInternational Conference on High Energy Physics 2024$$cPrague$$d2024-07-18 - 2024-07-24$$gICHEP 2024$$wCzech Republic 000615676 245__ $$aHiggs-muon interactions at a multi-TeV muon collider 000615676 260__ $$aTrieste$$bSISSA$$c2024 000615676 300__ $$a6 000615676 3367_ $$2ORCID$$aCONFERENCE_PAPER 000615676 3367_ $$033$$2EndNote$$aConference Paper 000615676 3367_ $$0PUB:(DE-HGF)16$$2PUB:(DE-HGF)$$aJournal Article$$mjournal 000615676 3367_ $$2BibTeX$$aINPROCEEDINGS 000615676 3367_ $$2DRIVER$$aconferenceObject 000615676 3367_ $$2DataCite$$aOutput Types/Conference Paper 000615676 3367_ $$0PUB:(DE-HGF)8$$2PUB:(DE-HGF)$$aContribution to a conference proceedings$$bcontrib$$mcontrib$$s1742808344_2454570 000615676 500__ $$a6 pages, 4 figures 000615676 520__ $$aWe establish a simple yet general parameterization of Higgs-muon interactions within the effective field theory frameworks, including both the Higgs Effective Field Theory (HEFT) and the Standard Model Effective Field Theory (SMEFT). We investigate the potential of a muon collider, operating at center-of-mass energies of 3 and 10 TeV, to probe Higgs-muon interactions. All possible processes involving the direct production of multiple electroweak bosons ($W$, $Z$, and $H$) with up to five final-state particles are considered. Our findings indicate that a muon collider can achieve greater sensitivity than the high-luminosity LHC, especially considering the independence of the Higgs decay branching fraction to muons. Notably, a 10 TeV muon collider offers exceptional sensitivity to muon-Higgs interactions, surpassing the 3 TeV option. 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