{ "id": "1807.02542", "version": "v1", "published": "2018-07-06T18:41:04.000Z", "updated": "2018-07-06T18:41:04.000Z", "title": "Analytic continuation of the kite family", "authors": [ "Christian Bogner", "Armin Schweitzer", "Stefan Weinzierl" ], "comment": "talk at the KMPB conference \"Elliptic Integrals, Elliptic Functions and Modular Forms in Quantum Field Theory\", 23-26 October 2017, at DESY Zeuthen", "categories": [ "hep-th", "hep-ph" ], "abstract": "We consider results for the master integrals of the kite family, given in terms of ELi-functions which are power series in the nome $q$ of an elliptic curve. The analytic continuation of these results beyond the Euclidean region is reduced to the analytic continuation of the two period integrals which define $q.$ We discuss the solution to the latter problem from the perspective of the Picard-Lefschetz formula.", "revisions": [ { "version": "v1", "updated": "2018-07-06T18:41:04.000Z" } ], "analyses": { "keywords": [ "analytic continuation", "kite family", "master integrals", "picard-lefschetz formula", "power series" ], "tags": [ "conference paper" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }