{"paper":{"title":"Kinetic mixing, custodial symmetry, $Z$, $Z^{\\prime}$ interactions and $Z^{\\prime}$ production in hadron colliders","arxiv_id":"2009.10658","primary_cat":"hep-ph","submitted_at":"2020-09-22T16:29:36+00:00","version_compiled":"v2"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13.0 on the question bank abstract-p1-20260923, exactly as returned. No sentence in this record was written by a language model.","schema":"pith.compiled-record/v0","status":"compiled","abstract":{"source":"arXiv listing abstract v2","sentences":[{"i":0,"p":0.96,"id":"s0","own":true,"role":"contribution","text":"In this work we study the interactions of the $Z$ and $Z^{\\prime}$ generated by kinetic mixing in a class of theories for physics beyond the standard model motivated by the dark matter problem, containing a spontaneously broken extra $U(1)_{d}$ gauge factor group in a hidden scenario and a Higgs sector respecting custodial symmetry.","hedge":{"p":0.86,"label":"asserted"},"own_p":0.66,"main_claim_p":0.06,"quantitative":false,"quantitative_p":0.06,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.04,"limitation":0.0,"future_work":0.0,"contribution":0.96,"interpretation":0.0}},{"i":1,"p":0.85,"id":"s1","own":true,"role":"result","text":"It is shown that custodial symmetry allows us to write the $Z$ and $Z^{\\prime}$ couplings to standard model fermions in terms of the measured values of $\\alpha$, $G_{F}$, $M_{Z}$ and $M_{Z^{\\prime}}$.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.85,"main_claim_p":0.16,"quantitative":false,"quantitative_p":0.09,"role_probabilities":{"gap":0.0,"method":0.02,"result":0.85,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.11,"interpretation":0.02}},{"i":2,"p":0.9,"id":"s2","own":true,"role":"method","text":"Working at the loop level, we calculate the ratio $\\rho_{0}=M^{2}_{W}/\\hat{c}^{2}_{Z}M^{2}_{Z}\\hat{\\rho}$ used in the fit to electroweak precision data (EWPD) and use its value to estimate possible effects of kinetic mixing at the electroweak scale.","hedge":{"p":0.98,"label":"asserted"},"own_p":0.96,"main_claim_p":0.05,"quantitative":false,"quantitative_p":0.1,"role_probabilities":{"gap":0.0,"method":0.9,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.1,"interpretation":0.0}},{"i":3,"p":0.98,"id":"s3","own":true,"role":"result","text":"For the $Z$ sector, we calculate the oblique parameters $S$ and $T$, finding that for $M_{Z^{\\prime}}\\geq M_{Z}$ our results are in agreement with the values of the oblique parameters extracted from the global fit to EWPD at $1\\sigma$ level.","hedge":{"p":0.95,"label":"asserted"},"own_p":0.96,"main_claim_p":0.14,"quantitative":true,"quantitative_p":0.96,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.98,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.01,"interpretation":0.01}},{"i":4,"p":0.98,"id":"s4","own":true,"role":"result","text":"As to the $Z^{\\prime}$ sector, we calculate the $Z^{\\prime}$ contributions to charged lepton pair production at the Large Hadron Colliderin the well motivated case of dark matter entering particle physics as the matter fields of the $U(1)_{d}$ gauge symmetry with perturbative couplings at the electroweak scale, finding that data reported by the Compact Muon Selenoid Collaboration impose a lower limit $M_{Z^{\\prime}}\\gtrsim 5.0 ~TeV$.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.94,"main_claim_p":0.48,"quantitative":true,"quantitative_p":0.99,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.98,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.02,"interpretation":0.0}}]},"compiled":{"main_claim":{"p":0.96,"text":"As to the $Z^{\\prime}$ sector, we calculate the $Z^{\\prime}$ contributions to charged lepton pair production at the Large Hadron Colliderin the well motivated case of dark matter entering particle physics as the matter fields of the $U(1)_{d}$ gauge symmetry with perturbative couplings at the electroweak scale, finding that data reported by the Compact Muon Selenoid Collaboration impose a lower limit $M_{Z^{\\prime}}\\gtrsim 5.0 ~TeV$.","location":"abstract s4","hedge_strength":{"p":1.0,"label":"asserted"}},"provenance":{"route":{"via":"TypeSafe API","model":"classifier-1.13.0","endpoint":"https://api.typesafe.ai/v1/systemone","provider":"TypeSafe"},"packing":"one request per paper","requests":1,"input_tokens":4889,"cost_usd_reported":0.0},"compiled_at":"2026-09-23","bank_version":"abstract-p1-20260923","model_version":"classifier-1.13.0","abstract_states":{"claims_first":0.03,"states_limitation":0.31,"human_participants":0.01,"controlled_comparison":0.08,"randomized_assignment":0.01,"states_quantitative_result":0.99,"compares_with_prior_results":0.86,"mentions_code_or_data_availability":0.02},"evidential_basis":{"p":0.6,"value":"proof or 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