One-loop Feynman integrals with Carlson hypergeometric functions
In this paper, we present analytic results for scalar one-loop two-, three-, four-point Feynman integrals with complex internal masses. The calculations are considered in general space-time dimension D for two- and three-point functions and D=4 for four-point functions. The analytic results are expr...
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| Format: | Article |
| Language: | English |
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EDP Sciences
2019-01-01
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| Series: | EPJ Web of Conferences |
| Online Access: | https://www.epj-conferences.org/articles/epjconf/pdf/2019/11/epjconf_ismd18_02005.pdf |
| _version_ | 1818653208567873536 |
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| author | Phan Khiem Hong |
| author_facet | Phan Khiem Hong |
| author_sort | Phan Khiem Hong |
| collection | DOAJ |
| description | In this paper, we present analytic results for scalar one-loop two-, three-, four-point Feynman integrals with complex internal masses. The calculations are considered in general space-time dimension D for two- and three-point functions and D=4 for four-point functions. The analytic results are expressed in terms of the Carlson hypergeometric functions (ℛ-functions) and valid for both real and complex internal masses. |
| first_indexed | 2024-12-17T02:34:15Z |
| format | Article |
| id | doaj.art-d96c01004b0645ac9f3b418709cff67a |
| institution | Directory Open Access Journal |
| issn | 2100-014X |
| language | English |
| last_indexed | 2024-12-17T02:34:15Z |
| publishDate | 2019-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | EPJ Web of Conferences |
| spelling | doaj.art-d96c01004b0645ac9f3b418709cff67a2022-12-21T22:06:54ZengEDP SciencesEPJ Web of Conferences2100-014X2019-01-012060200510.1051/epjconf/201920602005epjconf_ismd18_02005One-loop Feynman integrals with Carlson hypergeometric functionsPhan Khiem Hong0VNUHCM-University of ScienceIn this paper, we present analytic results for scalar one-loop two-, three-, four-point Feynman integrals with complex internal masses. The calculations are considered in general space-time dimension D for two- and three-point functions and D=4 for four-point functions. The analytic results are expressed in terms of the Carlson hypergeometric functions (ℛ-functions) and valid for both real and complex internal masses.https://www.epj-conferences.org/articles/epjconf/pdf/2019/11/epjconf_ismd18_02005.pdf |
| spellingShingle | Phan Khiem Hong One-loop Feynman integrals with Carlson hypergeometric functions EPJ Web of Conferences |
| title | One-loop Feynman integrals with Carlson hypergeometric functions |
| title_full | One-loop Feynman integrals with Carlson hypergeometric functions |
| title_fullStr | One-loop Feynman integrals with Carlson hypergeometric functions |
| title_full_unstemmed | One-loop Feynman integrals with Carlson hypergeometric functions |
| title_short | One-loop Feynman integrals with Carlson hypergeometric functions |
| title_sort | one loop feynman integrals with carlson hypergeometric functions |
| url | https://www.epj-conferences.org/articles/epjconf/pdf/2019/11/epjconf_ismd18_02005.pdf |
| work_keys_str_mv | AT phankhiemhong oneloopfeynmanintegralswithcarlsonhypergeometricfunctions |