Rational QCD loop amplitudes and quantum theories on twistor space
Abstract We show how curing an anomaly of the twistor uplift of self-dual Yang-Mills theory implies linear relations among one-loop, n-gluon, color-ordered subamplitudes in QCD, when all n gluon helicities are positive, or when exactly one is negative. We compute the number of linearly independent s...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-03-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP03(2025)188 |
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| author | Lance J. Dixon Anthony Morales |
| author_facet | Lance J. Dixon Anthony Morales |
| author_sort | Lance J. Dixon |
| collection | DOAJ |
| description | Abstract We show how curing an anomaly of the twistor uplift of self-dual Yang-Mills theory implies linear relations among one-loop, n-gluon, color-ordered subamplitudes in QCD, when all n gluon helicities are positive, or when exactly one is negative. We compute the number of linearly independent subamplitudes as determined by these relations, in terms of unsigned Stirling numbers. Then we use a momentum-twistor parametrization to show that there are no further linear dependencies. |
| format | Article |
| id | doaj-art-94dd91c537ef47aebb695985b77bdae1 |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-94dd91c537ef47aebb695985b77bdae12025-08-20T03:10:13ZengSpringerOpenJournal of High Energy Physics1029-84792025-03-012025313110.1007/JHEP03(2025)188Rational QCD loop amplitudes and quantum theories on twistor spaceLance J. Dixon0Anthony Morales1SLAC National Accelerator Laboratory, Stanford UniversitySLAC National Accelerator Laboratory, Stanford UniversityAbstract We show how curing an anomaly of the twistor uplift of self-dual Yang-Mills theory implies linear relations among one-loop, n-gluon, color-ordered subamplitudes in QCD, when all n gluon helicities are positive, or when exactly one is negative. We compute the number of linearly independent subamplitudes as determined by these relations, in terms of unsigned Stirling numbers. Then we use a momentum-twistor parametrization to show that there are no further linear dependencies.https://doi.org/10.1007/JHEP03(2025)188Scattering AmplitudesAnomalies in Field and String TheoriesHigher-Order Perturbative Calculations |
| spellingShingle | Lance J. Dixon Anthony Morales Rational QCD loop amplitudes and quantum theories on twistor space Journal of High Energy Physics Scattering Amplitudes Anomalies in Field and String Theories Higher-Order Perturbative Calculations |
| title | Rational QCD loop amplitudes and quantum theories on twistor space |
| title_full | Rational QCD loop amplitudes and quantum theories on twistor space |
| title_fullStr | Rational QCD loop amplitudes and quantum theories on twistor space |
| title_full_unstemmed | Rational QCD loop amplitudes and quantum theories on twistor space |
| title_short | Rational QCD loop amplitudes and quantum theories on twistor space |
| title_sort | rational qcd loop amplitudes and quantum theories on twistor space |
| topic | Scattering Amplitudes Anomalies in Field and String Theories Higher-Order Perturbative Calculations |
| url | https://doi.org/10.1007/JHEP03(2025)188 |
| work_keys_str_mv | AT lancejdixon rationalqcdloopamplitudesandquantumtheoriesontwistorspace AT anthonymorales rationalqcdloopamplitudesandquantumtheoriesontwistorspace |