[{"arxivID":"0812.2134","accept":"1","_id":"1590880","date_updated":"2018-07-24T12:58:25Z","dc":{"rights":["info:eu-repo/semantics/closedAccess"],"publisher":["American Physical Society (APS)"],"date":["2009"],"title":["Complete reduction of one-loop tensor 5-and 6-point integrals"],"language":["eng"],"source":["Diakonidis T, Riemann T, Tausk JB, Fleischer J, Gluza J, Kajda K. Complete reduction of one-loop tensor 5-and 6-point integrals. *Physical Review D*. 2009;80(3)."],"identifier":["https://pub.uni-bielefeld.de/record/1590880"],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.80.036003","info:eu-repo/semantics/altIdentifier/issn/1550-7998","info:eu-repo/semantics/altIdentifier/issn/1550-2368","info:eu-repo/semantics/altIdentifier/wos/000269641100095","info:eu-repo/semantics/altIdentifier/arxiv/0812.2134"],"creator":["Diakonidis, Theodoros","Riemann, Tord","Tausk, J. B.","Fleischer, Jochem","Gluza, J.","Kajda, K."],"type":["info:eu-repo/semantics/article","doc-type:article","text"],"description":["We perform a complete analytical reduction of general one-loop Feynman integrals with five and six external legs for tensors up to rank R = 3 and 4, respectively. An elegant formalism with extensive use of signed minors is developed for the cancellation of inverse Gram determinants. The 6-point tensor functions of rank R are expressed in terms of 5-point tensor functions of rank R - 1, and the latter are reduced to scalar four-, three-, and two-point functions. The resulting compact formulas allow both for a study of analytical properties and for efficient numerical programming. They are implemented in FORTRAN and MATHEMATICA."]},"article_type":"original","abstract":[{"lang":"eng"}],"quality_controlled":"1","message":"NEWISI20100426 NEW ISI record:\nDepartments: [Riemann, Th. Diakonidis T.; Tausk, J. B.] DESY, D-15738 Zeuthen, Germany. --- [Fleischer, J.] Univ Bielefeld, Fak Phys, D-33615 Bielefeld, Germany. --- [Gluza, J.; Kajda, K.] Silesian Univ, Inst Phys, PL-40007 Katowice, Poland.\nISI Id: ISI:000269641100095 / ISI: Autorenname Tord Riemann falsch, Autor Theodoros Diakonidis fehlte (Rd, 14.8.15)","first_author":"Diakonidis, Theodoros","inspire":"1","issue":"3","publication_status":"published","type":"journal_article","date_created":"2010-04-26T09:45:33Z","_version":7,"isi":"1","uri_base":"https://pub.uni-bielefeld.de","id":"1590880","author":[{"first_name":"Theodoros","autoren_ansetzung":["Diakonidis, Theodoros","Diakonidis","Theodoros Diakonidis","Diakonidis, T","Diakonidis, T.","T Diakonidis","T. Diakonidis"],"last_name":"Diakonidis"},{"first_name":"Tord","autoren_ansetzung":["Riemann, Tord","Riemann","Tord Riemann","Riemann, T","Riemann, T.","T Riemann","T. Riemann"],"last_name":"Riemann"},{"last_name":"Tausk","autoren_ansetzung":["Tausk, J. B.","Tausk","J. B. Tausk","Tausk, J","Tausk, J.","J Tausk","J. Tausk","Tausk J.B.","Tausk, J.B.","Tausk J. B.","Tausk, J. B.","Tausk J..B.","Tausk, J..B.","Tausk J.. B.","Tausk, J.. B."],"first_name":"J. B."},{"id":"40323","last_name":"Fleischer","autoren_ansetzung":["Fleischer, Jochem","Fleischer","Jochem Fleischer","Fleischer, J","Fleischer, J.","J Fleischer","J. Fleischer"],"first_name":"Jochem"},{"last_name":"Gluza","autoren_ansetzung":["Gluza, J.","Gluza","J. Gluza","Gluza, J","Gluza, J.","J Gluza","J. Gluza"],"first_name":"J."},{"first_name":"K.","autoren_ansetzung":["Kajda, K.","Kajda","K. Kajda","Kajda, K","Kajda, K.","K Kajda","K. Kajda"],"last_name":"Kajda"}],"status":"public","department":[{"_id":"10028","tree":[{"_id":"10028"}]},{"tree":[{"_id":"10028"},{"_id":"23470617"}],"_id":"23470617"}],"date_submitted":"2011-01-11T13:07:44Z","citation":{"lncs":" Diakonidis, T., Riemann, T., Tausk, J.B., Fleischer, J., Gluza, J., Kajda, K.: Complete reduction of one-loop tensor 5-and 6-point integrals. Physical Review D. 80, (2009).","angewandte-chemie":"T. Diakonidis, T. Riemann, J. B. Tausk, J. Fleischer, J. Gluza, and K. Kajda, “Complete reduction of one-loop tensor 5-and 6-point integrals”, *Physical Review D*, **2009**, *80*.","default":"Diakonidis T, Riemann T, Tausk JB, Fleischer J, Gluza J, Kajda K (2009)

*Physical Review D* 80(3).","bio1":"Diakonidis T, Riemann T, Tausk JB, Fleischer J, Gluza J, Kajda K (2009)

Complete reduction of one-loop tensor 5-and 6-point integrals.

Physical Review D 80(3).","apa":"Diakonidis, T., Riemann, T., Tausk, J. B., Fleischer, J., Gluza, J., & Kajda, K. (2009). Complete reduction of one-loop tensor 5-and 6-point integrals. *Physical Review D*, *80*(3). doi:10.1103/PhysRevD.80.036003","mla":"Diakonidis, Theodoros, Riemann, Tord, Tausk, J. B., Fleischer, Jochem, Gluza, J., and Kajda, K. “Complete reduction of one-loop tensor 5-and 6-point integrals”. *Physical Review D* 80.3 (2009).","frontiers":"Diakonidis, T., Riemann, T., Tausk, J. B., Fleischer, J., Gluza, J., and Kajda, K. (2009). Complete reduction of one-loop tensor 5-and 6-point integrals. *Physical Review D* 80.","apa_indent":"Diakonidis, T., Riemann, T., Tausk, J. B., Fleischer, J., Gluza, J., & Kajda, K. (2009). Complete reduction of one-loop tensor 5-and 6-point integrals. *Physical Review D*, *80*(3). doi:10.1103/PhysRevD.80.036003

","ieee":" T. Diakonidis, et al., “Complete reduction of one-loop tensor 5-and 6-point integrals”, *Physical Review D*, vol. 80, 2009.","harvard1":"Diakonidis, T., et al., 2009. Complete reduction of one-loop tensor 5-and 6-point integrals. *Physical Review D*, 80(3).","dgps":"Diakonidis, T., Riemann, T., Tausk, J.B., Fleischer, J., Gluza, J. & Kajda, K. (2009). Complete reduction of one-loop tensor 5-and 6-point integrals. *Physical Review D*, *80*(3). American Physical Society (APS). doi:10.1103/PhysRevD.80.036003.

","chicago":"Diakonidis, Theodoros, Riemann, Tord, Tausk, J. B., Fleischer, Jochem, Gluza, J., and Kajda, K. 2009. “Complete reduction of one-loop tensor 5-and 6-point integrals”. *Physical Review D* 80 (3).

","aps":" T. Diakonidis, et al., Complete reduction of one-loop tensor 5-and 6-point integrals, Physical Review D **80**, (2009).","wels":"Diakonidis, T.; Riemann, T.; Tausk, J. B.; Fleischer, J.; Gluza, J.; Kajda, K. (2009): Complete reduction of one-loop tensor 5-and 6-point integrals *Physical Review D*,80:(3)"},"arxiv":"1","language":[{}],"volume":"80","dini_type":"doc-type:article","intvolume":" 80","publication":"Physical Review D","publication_identifier":{"eissn":[],"issn":[]},"external_id":{"isi":[],"arxiv":[],"inspire":["804976"]}}]