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Double Resummation for Higgs Production.
Marco Bonvini1, Simone Marzani2
1INFN, Sezione di Roma 1, Piazzale Aldo Moro 5, 00185 Roma, Italy.
Physical Review Letters
|June 5, 2018
Summary
This study introduces a novel double-resummed prediction for Higgs boson production via gluon fusion. This advanced calculation improves predictions for Higgs production rates at current and future colliders.
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Area of Science:
- High Energy Physics
- Quantum Chromodynamics (QCD)
- Particle Physics
Background:
- The inclusive cross section of Higgs boson production is a key observable in proton-proton collisions.
- Previous theoretical predictions have limitations in accurately describing certain kinematic regimes.
- Understanding Higgs production is crucial for precision measurements at the Large Hadron Collider (LHC) and future colliders.
Purpose of the Study:
- To present the first double-resummed prediction for the inclusive cross section of Higgs production through gluon fusion.
- To incorporate and resum two distinct sets of logarithmic corrections relevant to different kinematic regions (threshold and high-energy limits).
- To improve the theoretical accuracy of Higgs production predictions, especially for future collider energies.
Main Methods:
- Employs all-orders resummation of logarithmic corrections in perturbation theory.
- Resums large-x logarithms to NNNLL (next-to-next-to-next-to-leading logarithmic) accuracy.
- Resums small-x logarithms to LL (leading logarithmic) accuracy.
- Matches the double-resummed cross section to a state-of-the-art NNNLO (next-to-next-to-next-to-leading order) fixed-order prediction.
Main Results:
- The double resummation leads to a 2% correction to the Higgs production rate at 13 TeV.
- The impact of double resummation is predicted to increase to 10% at future 100 TeV colliders.
- This method provides a more accurate theoretical prediction across a wider range of energies.
Conclusions:
- The double-resummed prediction offers a significant theoretical advancement for Higgs boson production studies.
- This improved accuracy is essential for interpreting experimental data and planning future collider experiments.
- The findings highlight the importance of higher-order corrections for precision physics at the energy frontier.

