[{"accept":"1","external_id":{"isi":["000269641100095"],"arxiv":["0812.2134"],"inspire":["804976"]},"date_created":"2010-04-26T09:45:33Z","publication_status":"published","date_submitted":"2011-01-11T13:07:44Z","article_type":"original","isi":1,"intvolume":" 80","first_author":"Diakonidis, Theodoros","abstract":[{"text":"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.","lang":"eng"}],"author":[{"last_name":"Diakonidis","first_name":"Theodoros","full_name":"Diakonidis, Theodoros","autoren_ansetzung":["Diakonidis, Theodoros","Diakonidis","Theodoros Diakonidis","Diakonidis, T","Diakonidis, T.","T Diakonidis","T. Diakonidis"]},{"full_name":"Riemann, Tord","last_name":"Riemann","first_name":"Tord","autoren_ansetzung":["Riemann, Tord","Riemann","Tord Riemann","Riemann, T","Riemann, T.","T Riemann","T. Riemann"]},{"first_name":"J. B.","last_name":"Tausk","full_name":"Tausk, J. B.","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":"Jochem","last_name":"Fleischer","full_name":"Fleischer, Jochem","id":"40323","autoren_ansetzung":["Fleischer, Jochem","Fleischer","Jochem Fleischer","Fleischer, J","Fleischer, J.","J Fleischer","J. Fleischer"]},{"last_name":"Gluza","first_name":"J.","full_name":"Gluza, J.","autoren_ansetzung":["Gluza, J.","Gluza","J. Gluza","Gluza, J","Gluza, J.","J Gluza","J. Gluza"]},{"first_name":"K.","last_name":"Kajda","full_name":"Kajda, K.","autoren_ansetzung":["Kajda, K.","Kajda","K. Kajda","Kajda, K","Kajda, K.","K Kajda","K. Kajda"]}],"issue":"3","doi":"10.1103/PhysRevD.80.036003","year":"2009","inspire":"1","type":"journal_article","publication_identifier":{"eissn":["1550-2368"],"issn":["1550-7998"]},"citation":{"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).","ieee":" T. Diakonidis, et al., “Complete reduction of one-loop tensor 5-and 6-point integrals”, *Physical Review D*, vol. 80, 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":"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).","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).

","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.

","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).","ama":"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).","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)","aps":" T. Diakonidis, et al., Complete reduction of one-loop tensor 5-and 6-point integrals, Physical Review D **80**, (2009).","default":"Diakonidis T, Riemann T, Tausk JB, Fleischer J, Gluza J, Kajda K (2009)

*Physical Review D* 80(3).","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

","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*."},"publisher":"American Physical Society (APS)","arxivID":"0812.2134","arxiv":"1","language":[{"iso":"eng"}],"quality_controlled":"1","_id":"1590880","publication":"Physical Review D","id":"1590880","date_updated":"2018-07-24T12:58:25Z","status":"public","department":[{"_id":"23470617"}],"title":"Complete reduction of one-loop tensor 5-and 6-point integrals","volume":"80"}]