Gluons and gravitons at one loop from ambitwistor strings
Abstract We present new and explicit formulae for the one-loop integrands of scattering amplitudes in non-supersymmetric gauge theory and gravity, valid for any number of particles. The results exhibit the colour-kinematics duality in gauge theory and the double-copy relation to gravity, in a form t...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP03(2018)068 |
| _version_ | 1818550690454175744 |
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| author | Yvonne Geyer Ricardo Monteiro |
| author_facet | Yvonne Geyer Ricardo Monteiro |
| author_sort | Yvonne Geyer |
| collection | DOAJ |
| description | Abstract We present new and explicit formulae for the one-loop integrands of scattering amplitudes in non-supersymmetric gauge theory and gravity, valid for any number of particles. The results exhibit the colour-kinematics duality in gauge theory and the double-copy relation to gravity, in a form that was recently observed in supersymmetric theories. The new formulae are expressed in a particular representation of the loop integrand, with only one quadratic propagator, which arises naturally from the framework of the loop-level scattering equations. The starting point in our work are the expressions based on the scattering equations that were recently derived from ambitwistor string theory. We turn these expressions into explicit formulae depending only on the loop momentum, the external momenta and the external polarisations. These formulae are valid in any number of spacetime dimensions for pure Yang-Mills theory (gluon) and its natural double copy, NS-NS gravity (graviton, dilaton, B-field), and we also present formulae in four spacetime dimensions for pure gravity (graviton). We perform several tests of our results, such as checking gauge invariance and directly matching our four-particle formulae to previously known expressions. While these tests would be elaborate in a Feynman-type representation of the loop integrand, they become straightforward in the representation we use. |
| first_indexed | 2024-12-12T08:49:51Z |
| format | Article |
| id | doaj.art-c7473d1b0e524354999cc1e97f79eba2 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-12T08:49:51Z |
| publishDate | 2018-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-c7473d1b0e524354999cc1e97f79eba22022-12-22T00:30:17ZengSpringerOpenJournal of High Energy Physics1029-84792018-03-012018314110.1007/JHEP03(2018)068Gluons and gravitons at one loop from ambitwistor stringsYvonne Geyer0Ricardo Monteiro1School of Natural Sciences, Institute for Advanced StudyCentre for Research in String Theory, Queen Mary University of LondonAbstract We present new and explicit formulae for the one-loop integrands of scattering amplitudes in non-supersymmetric gauge theory and gravity, valid for any number of particles. The results exhibit the colour-kinematics duality in gauge theory and the double-copy relation to gravity, in a form that was recently observed in supersymmetric theories. The new formulae are expressed in a particular representation of the loop integrand, with only one quadratic propagator, which arises naturally from the framework of the loop-level scattering equations. The starting point in our work are the expressions based on the scattering equations that were recently derived from ambitwistor string theory. We turn these expressions into explicit formulae depending only on the loop momentum, the external momenta and the external polarisations. These formulae are valid in any number of spacetime dimensions for pure Yang-Mills theory (gluon) and its natural double copy, NS-NS gravity (graviton, dilaton, B-field), and we also present formulae in four spacetime dimensions for pure gravity (graviton). We perform several tests of our results, such as checking gauge invariance and directly matching our four-particle formulae to previously known expressions. While these tests would be elaborate in a Feynman-type representation of the loop integrand, they become straightforward in the representation we use.http://link.springer.com/article/10.1007/JHEP03(2018)068Scattering AmplitudesGauge Symmetry |
| spellingShingle | Yvonne Geyer Ricardo Monteiro Gluons and gravitons at one loop from ambitwistor strings Journal of High Energy Physics Scattering Amplitudes Gauge Symmetry |
| title | Gluons and gravitons at one loop from ambitwistor strings |
| title_full | Gluons and gravitons at one loop from ambitwistor strings |
| title_fullStr | Gluons and gravitons at one loop from ambitwistor strings |
| title_full_unstemmed | Gluons and gravitons at one loop from ambitwistor strings |
| title_short | Gluons and gravitons at one loop from ambitwistor strings |
| title_sort | gluons and gravitons at one loop from ambitwistor strings |
| topic | Scattering Amplitudes Gauge Symmetry |
| url | http://link.springer.com/article/10.1007/JHEP03(2018)068 |
| work_keys_str_mv | AT yvonnegeyer gluonsandgravitonsatoneloopfromambitwistorstrings AT ricardomonteiro gluonsandgravitonsatoneloopfromambitwistorstrings |