https://doi.org/10.1140/epjc/s10052-024-12819-1
Regular Article - Theoretical Physics
Gluon–gluon fusion contribution to the productions of three gauge bosons at the LHC
1
CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, 100190, Beijing, People’s Republic of China
2
School of Physical Sciences, University of Chinese Academy of Sciences, 100049, Beijing, People’s Republic of China
3
Institute of High Energy Physics, Chinese Academy of Sciences, 100049, Beijing, People’s Republic of China
Received:
28
February
2024
Accepted:
14
April
2024
Published online:
8
May
2024
Productions of multiple gauge bosons at the LHC are sensitive to triple or quartic gauge couplings and thus provide a sensitive test for the electroweak sector of the Standard Model and allow for a probe of new physics. In this work we calculate the gluon–gluon initiate state contribution to the productions of three gauge bosons (
and 
) at the LHC, which is formally part of NNLO effects compared to the LO quark–antiquark channels corrections. For each process we present the ratio between the gluon–gluon channels contribution and the quark–antiquark channels contribution. We found that such a ratio for 
is of the order of 
much smaller than the corresponding ratio for the diboson production due to the decrease of gluon PDF when more particles appear in the final states. These small ratios imply that gluon–gluon fusion contribution is phenomenological negligible for the productions of and 
However, for production, the ratio is about 5%, which is of the same order of magnitude as the ratio for 
production due to the big cancellation between the amplitudes of quark–antiquark channels. While such an effect can be neglected currently at the LHC, it may be accessible at the HL-LHC.
© The Author(s) 2024
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Funded by SCOAP3.
