Resummation improved rapidity spectrum for gluon fusion Higgs production
| Autor: | Johannes K. L. Michel, Frank J. Tackmann, Markus A. Ebert |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Drell-Yan process
Nuclear and High Energy Physics Particle physics Sudakov FOS: Physical sciences 01 natural sciences Bottom quark High Energy Physics - Phenomenology (hep-ph) 0103 physical sciences lcsh:Nuclear and particle physics. Atomic energy. Radioactivity ddc:530 Rapidity correction [perturbation theory] Resummation 010306 general physics total cross section Physics fusion [gluon] 010308 nuclear & particles physics momentum transfer High Energy Physics::Phenomenology Momentum transfer Form factor (quantum field theory) form factor [gluon] Drell–Yan process QCD Phenomenology annihilation [quark] Gluon High Energy Physics - Phenomenology rapidity spectrum resummation kinematics Higgs boson lcsh:QC770-798 High Energy Physics::Experiment |
| Zdroj: | Journal of high energy physics 1705(05), 088 (2017). doi:10.1007/JHEP05(2017)088 Journal of High Energy Physics Journal of High Energy Physics, Vol 2017, Iss 5, Pp 1-50 (2017) |
| ISSN: | 1029-8479 |
| DOI: | 10.1007/jhep05(2017)088 |
| Popis: | Gluon-induced processes such as Higgs production typically exhibit large perturbative corrections. These partially arise from large virtual corrections to the gluon form factor, which at timelike momentum transfer contains Sudakov logarithms evaluated at negative arguments $\ln^2(-1) = -\pi^2$. It has been observed that resumming these terms in the timelike form factor leads to a much improved perturbative convergence for the total cross section. We discuss how to consistently incorporate the resummed form factor into the perturbative predictions for generic cross sections differential in the Born kinematics, including in particular the Higgs rapidity spectrum. We verify that this indeed improves the perturbative convergence, leading to smaller and more reliable perturbative uncertainties, and that this is not affected by cancellations between resummed and unresummed contributions. Combining both fixed-order and resummation uncertainties, the perturbative uncertainty for the total cross section at N$^3$LO$+$N$^3$LL$^\prime_\varphi$ is about a factor of two smaller than at N$^3$LO. The perturbative uncertainty of the rapidity spectrum at NNLO$+$NNLL$^\prime_\varphi$ is similarly reduced compared to NNLO. We also study the analogous resummation for quark-induced processes, namely Higgs production through bottom quark annihilation and the Drell-Yan rapidity spectrum. For the former the resummation leads to a small improvement, while for the latter it confirms the already small uncertainties of the fixed-order predictions. Comment: 30 pages + 17 pages in Appendices, 10 figures; v2: journal version; references added, discussed individual partonic channels for Drell-Yan |
| Databáze: | OpenAIRE |
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