{"paper":{"title":"CMB birefringence from ultra-light axion string networks","arxiv_id":"2103.10962","primary_cat":"astro-ph.CO","submitted_at":"2021-03-19T18:00:06+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. 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network.","hedge":{"p":0.77,"label":"hedged_possibility"},"own_p":0.07,"main_claim_p":0.07,"quantitative":false,"quantitative_p":0.03,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.85,"limitation":0.0,"future_work":0.0,"contribution":0.01,"interpretation":0.14}},{"i":2,"p":0.53,"id":"s2","own":true,"role":"method","text":"We develop an approximate analytic formalism and identify a kernel function that can be used to calculate the two-point correlation function for CMB birefringence induced by an arbitrary axion string network.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.97,"main_claim_p":0.12,"quantitative":false,"quantitative_p":0.06,"role_probabilities":{"gap":0.0,"method":0.53,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.47,"interpretation":0.0}},{"i":3,"p":0.52,"id":"s3","own":true,"role":"method","text":"Using this formalism, we evaluate the birefringence signal for some simple loop distributions (including scaling and network collapse).","hedge":{"p":0.99,"label":"asserted"},"own_p":0.96,"main_claim_p":0.06,"quantitative":false,"quantitative_p":0.07,"role_probabilities":{"gap":0.0,"method":0.52,"result":0.02,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.46,"interpretation":0.0}},{"i":4,"p":0.99,"id":"s4","own":true,"role":"result","text":"We find that the angular correlation function has a characteristic angular scale set by $\\theta_\\mathrm{min}$, which corresponds to the angular extent of the loops at the time of recombination.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.94,"main_claim_p":0.37,"quantitative":false,"quantitative_p":0.12,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.99,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.01}},{"i":5,"p":0.96,"id":"s5","own":true,"role":"result","text":"This results in a peak in the birefringence power spectrum around $\\ell_p \\sim 1/\\theta_\\mathrm{min}$.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.86,"main_claim_p":0.26,"quantitative":true,"quantitative_p":0.67,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.96,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.04}},{"i":6,"p":0.93,"id":"s6","own":true,"role":"result","text":"An additional scale, controlled by the axion's mass, is introduced if the network collapses before today.","hedge":{"p":0.9,"label":"asserted"},"own_p":0.55,"main_claim_p":0.08,"quantitative":false,"quantitative_p":0.06,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.93,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.01,"interpretation":0.06}}]},"compiled":{"main_claim":{"p":0.67,"text":"We find that the angular correlation function has a characteristic angular scale set by $\\theta_\\mathrm{min}$, which corresponds to the angular extent of the loops at the time of recombination.","location":"abstract 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