Analytic two-loop four-point form factor of the stress-tensor supermultiplet in N $$ \mathcal{N} $$ = 4 SYM
Abstract We compute the two-loop four-point MHV form factor of the stress-tensor supermultiplet in planar N $$ \mathcal{N} $$ = 4 super Yang-Mills (SYM). This form factor is analogous to the Higgs plus four-gluon amplitudes in the heavy-top limit of QCD when translated to the N $$ \mathcal{N} $$ = 4...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-02-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP02(2025)002 |
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| author | Yuanhong Guo Lei Wang Gang Yang Yixiong Yin |
| author_facet | Yuanhong Guo Lei Wang Gang Yang Yixiong Yin |
| author_sort | Yuanhong Guo |
| collection | DOAJ |
| description | Abstract We compute the two-loop four-point MHV form factor of the stress-tensor supermultiplet in planar N $$ \mathcal{N} $$ = 4 super Yang-Mills (SYM). This form factor is analogous to the Higgs plus four-gluon amplitudes in the heavy-top limit of QCD when translated to the N $$ \mathcal{N} $$ = 4 SYM context. We obtain the full D-dimensional integrands up to two loops via unitarity-cut methods. Subsequently, we utilize IBP reduction to express the result in terms of a set of uniformly transcendental basis integrals, incorporating the two-loop non-planar five-point one-mass integrals recently given by Abreu et al. [PRL 132 (2024) 14]. We obtain the two-loop finite remainder in the functional form in terms of the pentagon functions. The symbol of our remainder confirms the bootstrap results reported by Dixon et al. [PRL 130 (2023) 11]. We perform various non-trivial checks of our results, including the triple-collinear limit, which recovers the two-loop six-gluon remainder. We also show that the form factor has a directional dual conformal symmetry at the integrand level. Our results are expected to shed further light on the study of antipodal dualities and the computation of Higgs plus four-parton amplitudes in QCD. |
| format | Article |
| id | doaj-art-2232bffa126348e3b4d10085548d1940 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-2232bffa126348e3b4d10085548d19402025-02-09T12:08:34ZengSpringerOpenJournal of High Energy Physics1029-84792025-02-012025214510.1007/JHEP02(2025)002Analytic two-loop four-point form factor of the stress-tensor supermultiplet in N $$ \mathcal{N} $$ = 4 SYMYuanhong Guo0Lei Wang1Gang Yang2Yixiong Yin3CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of SciencesCollege of Physical Science and Technology, Bohai UniversityCAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of SciencesCAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of SciencesAbstract We compute the two-loop four-point MHV form factor of the stress-tensor supermultiplet in planar N $$ \mathcal{N} $$ = 4 super Yang-Mills (SYM). This form factor is analogous to the Higgs plus four-gluon amplitudes in the heavy-top limit of QCD when translated to the N $$ \mathcal{N} $$ = 4 SYM context. We obtain the full D-dimensional integrands up to two loops via unitarity-cut methods. Subsequently, we utilize IBP reduction to express the result in terms of a set of uniformly transcendental basis integrals, incorporating the two-loop non-planar five-point one-mass integrals recently given by Abreu et al. [PRL 132 (2024) 14]. We obtain the two-loop finite remainder in the functional form in terms of the pentagon functions. The symbol of our remainder confirms the bootstrap results reported by Dixon et al. [PRL 130 (2023) 11]. We perform various non-trivial checks of our results, including the triple-collinear limit, which recovers the two-loop six-gluon remainder. We also show that the form factor has a directional dual conformal symmetry at the integrand level. Our results are expected to shed further light on the study of antipodal dualities and the computation of Higgs plus four-parton amplitudes in QCD.https://doi.org/10.1007/JHEP02(2025)002Higher-Order Perturbative CalculationsScattering AmplitudesSupersymmetric Gauge Theory |
| spellingShingle | Yuanhong Guo Lei Wang Gang Yang Yixiong Yin Analytic two-loop four-point form factor of the stress-tensor supermultiplet in N $$ \mathcal{N} $$ = 4 SYM Journal of High Energy Physics Higher-Order Perturbative Calculations Scattering Amplitudes Supersymmetric Gauge Theory |
| title | Analytic two-loop four-point form factor of the stress-tensor supermultiplet in N $$ \mathcal{N} $$ = 4 SYM |
| title_full | Analytic two-loop four-point form factor of the stress-tensor supermultiplet in N $$ \mathcal{N} $$ = 4 SYM |
| title_fullStr | Analytic two-loop four-point form factor of the stress-tensor supermultiplet in N $$ \mathcal{N} $$ = 4 SYM |
| title_full_unstemmed | Analytic two-loop four-point form factor of the stress-tensor supermultiplet in N $$ \mathcal{N} $$ = 4 SYM |
| title_short | Analytic two-loop four-point form factor of the stress-tensor supermultiplet in N $$ \mathcal{N} $$ = 4 SYM |
| title_sort | analytic two loop four point form factor of the stress tensor supermultiplet in n mathcal n 4 sym |
| topic | Higher-Order Perturbative Calculations Scattering Amplitudes Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP02(2025)002 |
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