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Higgs Bosons, Heavy Quarks and Soft Gluons: Resummation-Improved Predictions for Associated Higgs Production Processes at the LHC

Subject Area Nuclear and Elementary Particle Physics, Quantum Mechanics, Relativity, Fields
Term from 2014 to 2023
Project identifier Deutsche Forschungsgemeinschaft (DFG) - Project number 260633026
 
Final Report Year 2024

Final Report Abstract

The Standard Model (SM) of particle physics summarises our current understanding of matter and its interactions. While it is known that the SM does not provide a complete description of nature, no physics beyond the SM (BSM) has been observed to date at the Large Hadron Collider (LHC). Correspondingly, the focus at the LHC has shifted from searching for direct signs of new physics to looking for deviations from theoretical predictions in the measured data. In this context, among various processes studied at the LHC, those involving top quarks and/or Higgs bosons command particular attention. The Higgs boson, discovered at the LHC in 2012, remains the least known component of the SM. The top quark is the heaviest known fundamental particle, much more massive than other quarks. Detailed investigations of the properties of the top quark and the Higgs boson, in particular their coupling, as well as couplings to other SM particles, are imperative for consistency checks of the SM, and, consequently, for shedding light on the nature of BSM physics. On the theoretical side, such investigations call for increased precision of the calculations for the processes involving top quark and Higgs boson production at the LHC. In this project, the worldwide most precise theoretical predictions for processes involving top quarks and Higgs bosons have been obtained. In particular, the project focused on a class of 2 → 3 processes at the LHC, i.e. processes that involve three particles in the final state. To this class of processes belongs the associated top quark-pair production together with a Higgs boson, or together with a gauge boson such as the carriers of the electroweak interactions, the Z and W bosons. Another example of such a process, also studied in this project, is the single top quark and Higgs production in association with a jet. The precision has been improved by considering (or ”resumming”) effects of additional emission of any number of low-energetic (”soft”) or collinear gluons by the colour-charged particles involved in the process. Within the scope of the project, a series of innovative and pioneering calculations for the associated top quark production with a boson has been undertaken and successfully completed. They enabled, for the first time, numerical predictions for the resummed cross section in the direct QCD approach for a 2 → 3 process with more than 3 legs carrying colour, first at the NLO+NLL accuracy, later extended to NLO+NNLL. The threshold-resummed results led to remarkable improvements in the stability and the precision of predictions for the associated processes. The obtained results are the worldwide most precise theoretical predictions for processes involving top quarks and Higgs bosons, as well as top quarks and Z bosons. These state-of-the-art predictions are currently used by ATLAS and CMS collaborations in their analysis and provide theory benchmarks for comparison with experiment.

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