{"work":{"id":"8bb8157e-9972-4cce-8993-971c5f7ef287","openalex_id":null,"doi":null,"arxiv_id":"1703.01269","raw_key":null,"title":"Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame","authors":null,"authors_text":null,"year":2017,"venue":"hep-th","abstract":"Using the Cachazo-He-Yuan (CHY) formalism, we prove a recursive expansion of tree level single trace Einstein-Yang-Mills (EYM) amplitudes with arbitrary number of gluons and gravitons, which is valid for general spacetime dimensions and any helicity configurations. The recursion is written in terms of fewer-graviton EYM amplitudes and pure Yang-Mills (YM) amplitudes, which can be further carried out until we reach an expansion in terms of pure YM amplitudes in Kleiss-Kuijf (KK) basis. Our expansion then generates naturally a spanning tree structure rooted on gluons whose vertices are gravitons. We further propose a set of graph theoretical rules based on spanning trees that evaluate directly the pure YM expansion coefficients.","external_url":"https://arxiv.org/abs/1703.01269","cited_by_count":null,"metadata_source":"pith","metadata_fetched_at":"2026-05-24T14:36:13.213031+00:00","pith_arxiv_id":"1703.01269","created_at":"2026-05-18T08:11:06.998811+00:00","updated_at":"2026-06-05T21:23:00.469572+00:00","title_quality_ok":true,"display_title":"Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame","render_title":"Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame"},"hub":{"state":{"work_id":"8bb8157e-9972-4cce-8993-971c5f7ef287","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":10,"external_cited_by_count":null,"distinct_field_count":1,"first_pith_cited_at":"2020-06-22T12:32:12+00:00","last_pith_cited_at":"2025-10-13T07:10:43+00:00","author_build_status":"not_needed","summary_status":"needed","contexts_status":"needed","graph_status":"needed","ask_index_status":"not_needed","reader_status":"not_needed","recognition_status":"not_needed","updated_at":"2026-06-06T05:30:29.757403+00:00","tier_text":"hub"},"tier":"hub","role_counts":[],"polarity_counts":[],"runs":{},"summary":{},"graph":{},"authors":[]}}