Two loop correction to interference in $$gg \to ZZ$$
Abstract
We present results for the production of a pair of onshell Z bosons via gluongluon fusion. This process occurs both through the production and decay of the Higgs boson, and through continuum production where the Z boson couples to a loop of massless quarks or to a massive quark. We calculate the interference of the two processes and its contribution to the cross section up to and including order O(α$$_{s}^{3}$$ ). The twoloop contributions to the amplitude are all known analytically, except for the continuum production through loops of top quarks of mass m. The latter contribution is important for the invariant mass of the two Z bosons, (as measured by the mass of their leptonic decay products, m$$_{4l}$$), in a regime where m$$_{4l}$$ ≥ 2m because of the contributions of longitudinal bosons. We examine all the contributions to the virtual amplitude involving top quarks, as expansions about the heavy top quark limit combined with a conformal mapping and Padé approximants. Comparison with the analytic results, where known, allows us to assess the validity of the heavy quark expansion, and it extensions. We give results for the NLO corrections to this interference, including both real and virtual radiation.
 Authors:

 Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
 Univ. of Durham, Durham (United Kingdom)
 RWTH Aachen Univ., Aachen (Germany)
 Publication Date:
 Research Org.:
 Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP) (SC25)
 OSTI Identifier:
 1287382
 Report Number(s):
 FERMILABPUB16113T; IPPP1628; TTK1612; arXiv:1605.01380
Journal ID: ISSN 10298479; 1455802
 Grant/Contract Number:
 AC0207CH11359
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2016; Journal Issue: 8; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; NLO computations; QCD phenomenology
Citation Formats
Campbell, John M., Ellis, R. Keith, Czakon, Michal, and Kirchner, Sebastian. Two loop correction to interference in $gg \to ZZ$. United States: N. p., 2016.
Web. doi:10.1007/JHEP08(2016)011.
Campbell, John M., Ellis, R. Keith, Czakon, Michal, & Kirchner, Sebastian. Two loop correction to interference in $gg \to ZZ$. United States. doi:10.1007/JHEP08(2016)011.
Campbell, John M., Ellis, R. Keith, Czakon, Michal, and Kirchner, Sebastian. Mon .
"Two loop correction to interference in $gg \to ZZ$". United States. doi:10.1007/JHEP08(2016)011. https://www.osti.gov/servlets/purl/1287382.
@article{osti_1287382,
title = {Two loop correction to interference in $gg \to ZZ$},
author = {Campbell, John M. and Ellis, R. Keith and Czakon, Michal and Kirchner, Sebastian},
abstractNote = {We present results for the production of a pair of onshell Z bosons via gluongluon fusion. This process occurs both through the production and decay of the Higgs boson, and through continuum production where the Z boson couples to a loop of massless quarks or to a massive quark. We calculate the interference of the two processes and its contribution to the cross section up to and including order O(α$_{s}^{3}$ ). The twoloop contributions to the amplitude are all known analytically, except for the continuum production through loops of top quarks of mass m. The latter contribution is important for the invariant mass of the two Z bosons, (as measured by the mass of their leptonic decay products, m$_{4l}$), in a regime where m$_{4l}$ ≥ 2m because of the contributions of longitudinal bosons. We examine all the contributions to the virtual amplitude involving top quarks, as expansions about the heavy top quark limit combined with a conformal mapping and Padé approximants. Comparison with the analytic results, where known, allows us to assess the validity of the heavy quark expansion, and it extensions. We give results for the NLO corrections to this interference, including both real and virtual radiation.},
doi = {10.1007/JHEP08(2016)011},
journal = {Journal of High Energy Physics (Online)},
number = 8,
volume = 2016,
place = {United States},
year = {2016},
month = {8}
}
Web of Science
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