Mixed QCD-EW corrections to W-pair production at electron-positron colliders
Abstract The discrepancy between the CDF measurement and the Standard Model theoretical prediction for the W-boson mass underscores the importance of conducting high-precision studies on the W boson, which is one of the predominant objectives of proposed future e + e − colliders. We investigate in d...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)038 |
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| author | Zhe Li Ren-You Zhang Shu-Xiang Li Xiao-Feng Wang Wen-Jie He Liang Han Yi Jiang Qing-hai Wang |
| author_facet | Zhe Li Ren-You Zhang Shu-Xiang Li Xiao-Feng Wang Wen-Jie He Liang Han Yi Jiang Qing-hai Wang |
| author_sort | Zhe Li |
| collection | DOAJ |
| description | Abstract The discrepancy between the CDF measurement and the Standard Model theoretical prediction for the W-boson mass underscores the importance of conducting high-precision studies on the W boson, which is one of the predominant objectives of proposed future e + e − colliders. We investigate in detail the production of W-boson pairs at e + e − colliders, and compute the next-to-next-to-leading order mixed QCD-EW corrections to both the integrated cross section and various kinematic distributions. By employing the method of differential equations, we analytically calculate the two-loop master integrals for the mixed QCD-EW virtual corrections to e + e − → W + W − . Utilizing the Magnus transformation, we derive a set of canonical master integrals for each integral family. This canonical basis satisfies a system of differential equations in which the dependence on the dimensional regulator is linearly factorized from the kinematics. We then express all these canonical master integrals as Taylor series in ϵ up to ϵ 4, with coefficients articulated in terms of Goncharov polylogarithms up to weight four. Upon applying our analytic expressions of these master integrals to the phenomenological analysis of W-pair production, we observe that the O $$ \mathcal{O} $$ (αα s ) corrections are significantly impactful in the α(0) scheme, particularly in certain phase-space regions. However, these mixed QCD-EW corrections can be heavily suppressed by adopting the G μ scheme. |
| format | Article |
| id | doaj-art-10aad227ec7940738520a2ea2d27291c |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-10aad227ec7940738520a2ea2d27291c2025-08-20T02:39:55ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241213410.1007/JHEP12(2024)038Mixed QCD-EW corrections to W-pair production at electron-positron collidersZhe Li0Ren-You Zhang1Shu-Xiang Li2Xiao-Feng Wang3Wen-Jie He4Liang Han5Yi Jiang6Qing-hai Wang7State Key Laboratory of Particle Detection and Electronics, University of Science and Technology of ChinaState Key Laboratory of Particle Detection and Electronics, University of Science and Technology of ChinaState Key Laboratory of Particle Detection and Electronics, University of Science and Technology of ChinaState Key Laboratory of Particle Detection and Electronics, University of Science and Technology of ChinaState Key Laboratory of Particle Detection and Electronics, University of Science and Technology of ChinaState Key Laboratory of Particle Detection and Electronics, University of Science and Technology of ChinaState Key Laboratory of Particle Detection and Electronics, University of Science and Technology of ChinaDepartment of Physics, National University of SingaporeAbstract The discrepancy between the CDF measurement and the Standard Model theoretical prediction for the W-boson mass underscores the importance of conducting high-precision studies on the W boson, which is one of the predominant objectives of proposed future e + e − colliders. We investigate in detail the production of W-boson pairs at e + e − colliders, and compute the next-to-next-to-leading order mixed QCD-EW corrections to both the integrated cross section and various kinematic distributions. By employing the method of differential equations, we analytically calculate the two-loop master integrals for the mixed QCD-EW virtual corrections to e + e − → W + W − . Utilizing the Magnus transformation, we derive a set of canonical master integrals for each integral family. This canonical basis satisfies a system of differential equations in which the dependence on the dimensional regulator is linearly factorized from the kinematics. We then express all these canonical master integrals as Taylor series in ϵ up to ϵ 4, with coefficients articulated in terms of Goncharov polylogarithms up to weight four. Upon applying our analytic expressions of these master integrals to the phenomenological analysis of W-pair production, we observe that the O $$ \mathcal{O} $$ (αα s ) corrections are significantly impactful in the α(0) scheme, particularly in certain phase-space regions. However, these mixed QCD-EW corrections can be heavily suppressed by adopting the G μ scheme.https://doi.org/10.1007/JHEP12(2024)038Electroweak Precision PhysicsHigher Order Electroweak Calculations |
| spellingShingle | Zhe Li Ren-You Zhang Shu-Xiang Li Xiao-Feng Wang Wen-Jie He Liang Han Yi Jiang Qing-hai Wang Mixed QCD-EW corrections to W-pair production at electron-positron colliders Journal of High Energy Physics Electroweak Precision Physics Higher Order Electroweak Calculations |
| title | Mixed QCD-EW corrections to W-pair production at electron-positron colliders |
| title_full | Mixed QCD-EW corrections to W-pair production at electron-positron colliders |
| title_fullStr | Mixed QCD-EW corrections to W-pair production at electron-positron colliders |
| title_full_unstemmed | Mixed QCD-EW corrections to W-pair production at electron-positron colliders |
| title_short | Mixed QCD-EW corrections to W-pair production at electron-positron colliders |
| title_sort | mixed qcd ew corrections to w pair production at electron positron colliders |
| topic | Electroweak Precision Physics Higher Order Electroweak Calculations |
| url | https://doi.org/10.1007/JHEP12(2024)038 |
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