Recursion relations for scattering amplitudes with massive particles II: Massive vector bosons
Using the recently introduced recursion relations with covariant massive-massless shift, we study tree-level scattering amplitudes involving a pair of massive vector bosons and an arbitrary number of gluons in the massive spinor-helicity formalism. In particular, we derive compact expressions for ca...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-10-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321322002863 |
| _version_ | 1798037338830405632 |
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| author | Sourav Ballav Arkajyoti Manna |
| author_facet | Sourav Ballav Arkajyoti Manna |
| author_sort | Sourav Ballav |
| collection | DOAJ |
| description | Using the recently introduced recursion relations with covariant massive-massless shift, we study tree-level scattering amplitudes involving a pair of massive vector bosons and an arbitrary number of gluons in the massive spinor-helicity formalism. In particular, we derive compact expressions for cases in which i) all gluons are of the same helicity and ii) one gluon has flipped helicity and is colour adjacent to one of the massive particles. We provide numerous consistency checks of our results including the exact match of high energy limits with well known MHV and NMHV amplitudes in pure Yang-Mills theory. As a corollary, we obtain an alternative novel representation of the NMHV amplitude. |
| first_indexed | 2024-04-11T21:25:13Z |
| format | Article |
| id | doaj.art-c726f185afa74ced9a00c5b7c715fd93 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-04-11T21:25:13Z |
| publishDate | 2022-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-c726f185afa74ced9a00c5b7c715fd932022-12-22T04:02:27ZengElsevierNuclear Physics B0550-32132022-10-01983115935Recursion relations for scattering amplitudes with massive particles II: Massive vector bosonsSourav Ballav0Arkajyoti Manna1Indian Institute of Science Education and Research Bhopal, Bhopal Bypass Rd, Bhauri, Madhya Pradesh 462066, IndiaThe Institute of Mathematical Sciences, Homi Bhabha National Institute (HBNI), IV Cross Road, C. I. T. Campus, Taramani, Chennai, 600113 Tamil Nadu, India; Corresponding author.Using the recently introduced recursion relations with covariant massive-massless shift, we study tree-level scattering amplitudes involving a pair of massive vector bosons and an arbitrary number of gluons in the massive spinor-helicity formalism. In particular, we derive compact expressions for cases in which i) all gluons are of the same helicity and ii) one gluon has flipped helicity and is colour adjacent to one of the massive particles. We provide numerous consistency checks of our results including the exact match of high energy limits with well known MHV and NMHV amplitudes in pure Yang-Mills theory. As a corollary, we obtain an alternative novel representation of the NMHV amplitude.http://www.sciencedirect.com/science/article/pii/S0550321322002863 |
| spellingShingle | Sourav Ballav Arkajyoti Manna Recursion relations for scattering amplitudes with massive particles II: Massive vector bosons Nuclear Physics B |
| title | Recursion relations for scattering amplitudes with massive particles II: Massive vector bosons |
| title_full | Recursion relations for scattering amplitudes with massive particles II: Massive vector bosons |
| title_fullStr | Recursion relations for scattering amplitudes with massive particles II: Massive vector bosons |
| title_full_unstemmed | Recursion relations for scattering amplitudes with massive particles II: Massive vector bosons |
| title_short | Recursion relations for scattering amplitudes with massive particles II: Massive vector bosons |
| title_sort | recursion relations for scattering amplitudes with massive particles ii massive vector bosons |
| url | http://www.sciencedirect.com/science/article/pii/S0550321322002863 |
| work_keys_str_mv | AT souravballav recursionrelationsforscatteringamplitudeswithmassiveparticlesiimassivevectorbosons AT arkajyotimanna recursionrelationsforscatteringamplitudeswithmassiveparticlesiimassivevectorbosons |