{"doi":"10.1103/physrevd.109.043515","title":"Consistently constraining <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\"><mml:msub><mml:mi>f</mml:mi><mml:mrow><mml:mi>NL</mml:mi></mml:mrow></mml:msub></mml:math> with the squeezed lensing bispectrum using consistency relations","abstract":"We introduce a nonperturbative method to constrain the amplitude of local-type primordial non-Gaussianity (${f}_{\\mathrm{NL}}$) using squeezed configurations of the CMB lensing convergence and cosmic shear bispectra. First, we use cosmological consistency relations to derive a model for the squeezed limit of angular auto- and cross-bispectra of lensing convergence fields in the presence of ${f}_{\\mathrm{NL}}$. Using this model, we perform a Fisher forecast with specifications expected for upcoming CMB lensing measurements from the Simons Observatory and CMB-S4, as well as cosmic shear measurements from a Rubin $\\mathrm{LSST}/Euclid$-like experiment. Assuming a minimum multipole ${\\ensuremath{\\ell}}_{\\mathrm{min}}=10$ and maximum multipole ${\\ensuremath{\\ell}}_{\\mathrm{max}}=1400$, we forecast ${\\ensuremath{\\sigma}}_{{f}_{\\mathrm{NL}}}=175$ (95) for Simons Observatory (CMB-S4). Our forecasts improve considerably for an $\\mathrm{LSST}/Euclid$-like cosmic shear experiment with three tomographic bins and ${\\ensuremath{\\ell}}_{\\mathrm{min}}=10$ and ${\\ensuremath{\\ell}}_{\\mathrm{max}}=1400$ (5000) with ${\\ensuremath{\\sigma}}_{{f}_{\\mathrm{NL}}}=31$ (16). A joint analysis of CMB-S4 lensing and $\\mathrm{LSST}/Euclid$-like shear yields little gain over the shear-only forecasts; however, we show that a joint analysis could be useful if the CMB lensing convergence can be reliably reconstructed at larger angular scales than the shear field. The method presented in this work is a novel and robust technique to constrain local primordial non-Gaussianity from upcoming large-scale structure surveys that is completely independent of the galaxy field (and therefore any nuisance parameters such as ${b}_{\\ensuremath{\\phi}}$), thus complementing existing techniques to constrain ${f}_{\\mathrm{NL}}$ using the scale-dependent halo bias.","journal":"Physical review. D/Physical review. D.","year":2024,"id":446381,"datarank":0.0,"base_score":0.0,"endowment":0.0,"self_citation_contribution":0.0,"citation_network_contribution":0.0,"self_endowment_contribution":0.0,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":6,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":0.9544,"is_data_producer":false,"deposit_databanks":null,"is_oa":true,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":"2024-01-01","fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":1129197,"name":"Oliver H. E. Philcox","orcid":"0000-0002-3033-9932","position":1,"is_corresponding":false},{"id":1027049,"name":"J. Colin Hill","orcid":"0000-0002-9539-0835","position":2,"is_corresponding":false},{"id":1194088,"name":"Angelo Esposito","orcid":"0000-0002-4318-1003","position":3,"is_corresponding":false},{"id":862995,"name":"Lam Hui","orcid":"0000-0001-7003-4132","position":4,"is_corresponding":false},{"id":1027048,"name":"S. J. Goldstein","orcid":"0000-0003-3155-245X","position":0,"is_corresponding":true}],"reference_count":109,"raw_metadata":null,"created_at":"2026-07-19T02:01:50.465308Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}