Three-loop master integrals for the Higgs boson self-energy with internal top-quarks and W-bosons
Abstract We consider the full set of master integrals with internal top-and W-propagators contributing to the three-loop Higgs self-energy diagrams of order O $$ \mathcal{O} $$ (α 2 α s ). We split the master integrals into a system relevant to the Feynman diagrams proportional to the product of Yuk...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-11-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2022)051 |
| _version_ | 1827985293277396992 |
|---|---|
| author | Ekta Chaubey Ina Hönemann Stefan Weinzierl |
| author_facet | Ekta Chaubey Ina Hönemann Stefan Weinzierl |
| author_sort | Ekta Chaubey |
| collection | DOAJ |
| description | Abstract We consider the full set of master integrals with internal top-and W-propagators contributing to the three-loop Higgs self-energy diagrams of order O $$ \mathcal{O} $$ (α 2 α s ). We split the master integrals into a system relevant to the Feynman diagrams proportional to the product of Yukawa couplings y b y t and the complement. For both systems we define master integrals of uniform weight, such that the associated differential equation is in ε-factorised form. The occurring square roots are rationalised and all master integrals are expressible in multiple polylogarithms. |
| first_indexed | 2024-04-09T23:12:35Z |
| format | Article |
| id | doaj.art-0113185f20fe40fcbc41421a90c0d384 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T23:12:35Z |
| publishDate | 2022-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-0113185f20fe40fcbc41421a90c0d3842023-03-22T10:15:32ZengSpringerOpenJournal of High Energy Physics1029-84792022-11-0120221113510.1007/JHEP11(2022)051Three-loop master integrals for the Higgs boson self-energy with internal top-quarks and W-bosonsEkta Chaubey0Ina Hönemann1Stefan Weinzierl2Physics Department, University of Turin and INFN TurinPRISMA Cluster of Excellence, Institut für Physik, Johannes Gutenberg-Universität MainzPRISMA Cluster of Excellence, Institut für Physik, Johannes Gutenberg-Universität MainzAbstract We consider the full set of master integrals with internal top-and W-propagators contributing to the three-loop Higgs self-energy diagrams of order O $$ \mathcal{O} $$ (α 2 α s ). We split the master integrals into a system relevant to the Feynman diagrams proportional to the product of Yukawa couplings y b y t and the complement. For both systems we define master integrals of uniform weight, such that the associated differential equation is in ε-factorised form. The occurring square roots are rationalised and all master integrals are expressible in multiple polylogarithms.https://doi.org/10.1007/JHEP11(2022)051Higgs PropertiesHigher Order Electroweak CalculationsHigher-Order Perturbative Calculations |
| spellingShingle | Ekta Chaubey Ina Hönemann Stefan Weinzierl Three-loop master integrals for the Higgs boson self-energy with internal top-quarks and W-bosons Journal of High Energy Physics Higgs Properties Higher Order Electroweak Calculations Higher-Order Perturbative Calculations |
| title | Three-loop master integrals for the Higgs boson self-energy with internal top-quarks and W-bosons |
| title_full | Three-loop master integrals for the Higgs boson self-energy with internal top-quarks and W-bosons |
| title_fullStr | Three-loop master integrals for the Higgs boson self-energy with internal top-quarks and W-bosons |
| title_full_unstemmed | Three-loop master integrals for the Higgs boson self-energy with internal top-quarks and W-bosons |
| title_short | Three-loop master integrals for the Higgs boson self-energy with internal top-quarks and W-bosons |
| title_sort | three loop master integrals for the higgs boson self energy with internal top quarks and w bosons |
| topic | Higgs Properties Higher Order Electroweak Calculations Higher-Order Perturbative Calculations |
| url | https://doi.org/10.1007/JHEP11(2022)051 |
| work_keys_str_mv | AT ektachaubey threeloopmasterintegralsforthehiggsbosonselfenergywithinternaltopquarksandwbosons AT inahonemann threeloopmasterintegralsforthehiggsbosonselfenergywithinternaltopquarksandwbosons AT stefanweinzierl threeloopmasterintegralsforthehiggsbosonselfenergywithinternaltopquarksandwbosons |