{"paper":{"title":"How to test for mass degenerate Higgs resonances","arxiv_id":"1301.0328","primary_cat":"hep-ph","submitted_at":"2013-01-02T21:01:09+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-1.13-20260917 on the question bank abstract-p1-20260923, exactly as returned. 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$R_{if}$.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.92,"main_claim_p":0.6,"quantitative":false,"quantitative_p":0.26,"role_probabilities":{"gap":0.0,"method":0.03,"result":0.19,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.78,"interpretation":0.0}},{"i":2,"p":0.9,"id":"s2","own":false,"role":"method","text":"Each entry in this matrix contains the observed rate in a particular production mode $i$ and final state $f$.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.19,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.07,"role_probabilities":{"gap":0.0,"method":0.9,"result":0.0,"background":0.01,"limitation":0.0,"future_work":0.0,"contribution":0.09,"interpretation":0.0}},{"i":3,"p":0.79,"id":"s3","own":true,"role":"result","text":"In the case of $N$ non-interfering resonances, the rank of $R$ is, at most, $N$.","hedge":{"p":0.96,"label":"asserted"},"own_p":0.52,"main_claim_p":0.22,"quantitative":true,"quantitative_p":0.98,"role_probabilities":{"gap":0.0,"method":0.08,"result":0.79,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.12,"interpretation":0.01}},{"i":4,"p":0.84,"id":"s4","own":true,"role":"result","text":"If interference plays a role, the maximum rank is $N^2$ or in the CP limit $N(N+1)/2$.","hedge":{"p":0.97,"label":"asserted"},"own_p":0.61,"main_claim_p":0.14,"quantitative":true,"quantitative_p":0.98,"role_probabilities":{"gap":0.0,"method":0.04,"result":0.84,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.11,"interpretation":0.01}},{"i":5,"p":0.53,"id":"s5","own":true,"role":"method","text":"As an illustration we use the present experimental data to constrain the rank of the corresponding matrix.","hedge":{"p":0.98,"label":"asserted"},"own_p":0.92,"main_claim_p":0.06,"quantitative":false,"quantitative_p":0.07,"role_probabilities":{"gap":0.0,"method":0.53,"result":0.04,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.43,"interpretation":0.0}},{"i":6,"p":0.58,"id":"s6","own":true,"role":"contribution","text":"We estimate the LHC reach of probing two and three resonances under various speculations on future measurements and uncertainties.","hedge":{"p":0.69,"label":"asserted"},"own_p":0.89,"main_claim_p":0.12,"quantitative":false,"quantitative_p":0.49,"role_probabilities":{"gap":0.0,"method":0.02,"result":0.34,"background":0.0,"limitation":0.0,"future_work":0.05,"contribution":0.58,"interpretation":0.01}}]},"compiled":{"main_claim":{"p":0.98,"text":"We show that the number of resonances is related to the rank of a \"production and decay\" matrix, $R_{if}$.","location":"abstract 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