Tr(F 3) supersymmetric form factors and maximal transcendentality. Part II. 0 < N $$ \mathcal{N} $$ < 4 super Yang-Mills
Abstract The study of form factors has many phenomenologically interesting applications, one of which is Higgs plus gluon amplitudes in QCD. Through effective field theory techniques these are related to form factors of various operators of increasing classical dimension. In this paper we extend our...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP12(2018)077 |
| _version_ | 1818195859077070848 |
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| author | Andreas Brandhuber Martyna Kostacińska Brenda Penante Gabriele Travaglini |
| author_facet | Andreas Brandhuber Martyna Kostacińska Brenda Penante Gabriele Travaglini |
| author_sort | Andreas Brandhuber |
| collection | DOAJ |
| description | Abstract The study of form factors has many phenomenologically interesting applications, one of which is Higgs plus gluon amplitudes in QCD. Through effective field theory techniques these are related to form factors of various operators of increasing classical dimension. In this paper we extend our analysis of the first finite top-mass correction, arising from the operator Tr(F 3), from N $$ \mathcal{N} $$ = 4 super Yang-Mills to theories with N $$ \mathcal{N} $$ < 4, for the case of three gluons and up to two loops. We confirm our earlier result that the maximally transcendental part of the associated Catani remainder is universal and equal to that of the form factor of a protected trilinear operator in the maximally supersymmetric theory. The terms with lower transcendentality deviate from the N $$ \mathcal{N} $$ = 4 answer by a surprisingly small set of terms involving for example ζ 2, ζ 3 and simple powers of logarithms, for which we provide explicit expressions. |
| first_indexed | 2024-12-12T01:24:52Z |
| format | Article |
| id | doaj.art-52ca2fb4dafd4814ac6ac24eb40b3acd |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-12T01:24:52Z |
| publishDate | 2018-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-52ca2fb4dafd4814ac6ac24eb40b3acd2022-12-22T00:43:07ZengSpringerOpenJournal of High Energy Physics1029-84792018-12-0120181212710.1007/JHEP12(2018)077Tr(F 3) supersymmetric form factors and maximal transcendentality. Part II. 0 < N $$ \mathcal{N} $$ < 4 super Yang-MillsAndreas Brandhuber0Martyna Kostacińska1Brenda Penante2Gabriele Travaglini3Centre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of LondonCentre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of LondonCERN Theory DivisionCentre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of LondonAbstract The study of form factors has many phenomenologically interesting applications, one of which is Higgs plus gluon amplitudes in QCD. Through effective field theory techniques these are related to form factors of various operators of increasing classical dimension. In this paper we extend our analysis of the first finite top-mass correction, arising from the operator Tr(F 3), from N $$ \mathcal{N} $$ = 4 super Yang-Mills to theories with N $$ \mathcal{N} $$ < 4, for the case of three gluons and up to two loops. We confirm our earlier result that the maximally transcendental part of the associated Catani remainder is universal and equal to that of the form factor of a protected trilinear operator in the maximally supersymmetric theory. The terms with lower transcendentality deviate from the N $$ \mathcal{N} $$ = 4 answer by a surprisingly small set of terms involving for example ζ 2, ζ 3 and simple powers of logarithms, for which we provide explicit expressions.http://link.springer.com/article/10.1007/JHEP12(2018)077Effective Field TheoriesScattering AmplitudesSupersymmetric Gauge Theory |
| spellingShingle | Andreas Brandhuber Martyna Kostacińska Brenda Penante Gabriele Travaglini Tr(F 3) supersymmetric form factors and maximal transcendentality. Part II. 0 < N $$ \mathcal{N} $$ < 4 super Yang-Mills Journal of High Energy Physics Effective Field Theories Scattering Amplitudes Supersymmetric Gauge Theory |
| title | Tr(F 3) supersymmetric form factors and maximal transcendentality. Part II. 0 < N $$ \mathcal{N} $$ < 4 super Yang-Mills |
| title_full | Tr(F 3) supersymmetric form factors and maximal transcendentality. Part II. 0 < N $$ \mathcal{N} $$ < 4 super Yang-Mills |
| title_fullStr | Tr(F 3) supersymmetric form factors and maximal transcendentality. Part II. 0 < N $$ \mathcal{N} $$ < 4 super Yang-Mills |
| title_full_unstemmed | Tr(F 3) supersymmetric form factors and maximal transcendentality. Part II. 0 < N $$ \mathcal{N} $$ < 4 super Yang-Mills |
| title_short | Tr(F 3) supersymmetric form factors and maximal transcendentality. Part II. 0 < N $$ \mathcal{N} $$ < 4 super Yang-Mills |
| title_sort | tr f 3 supersymmetric form factors and maximal transcendentality part ii 0 n mathcal n 4 super yang mills |
| topic | Effective Field Theories Scattering Amplitudes Supersymmetric Gauge Theory |
| url | http://link.springer.com/article/10.1007/JHEP12(2018)077 |
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