Abstract

We study the off-shell Higgs data in the process $pp\to h^{(*)} \to Z^{(\ast)}Z^{(\ast)}\to 4\ell$, to constrain deviations of the Higgs couplings. We point out that this channel can be used to resolve the long- and short-distance contributions to Higgs production by gluon fusion and can thus be complementary to $pp\to ht\bar t$ in measuring the top Yukawa coupling. Our analysis, performed in the context of Effective Field Theory, shows that current data do not allow one to draw any model-independent conclusions. We study the prospects at future hadron colliders, including the high-luminosity LHC and accelerators with higher-energy, up to 100 TeV. The available QCD calculations and the theoretical uncertainties affecting our analysis are also briefly discussed.

Highlights

  • With the discovery of the Higgs boson by the ATLAS and CMS experiments [1, 2], high energy physics experiences a transition: after a long period of search and exploration, an era of consolidation and precise measurements has just started and it will complement the direct search for new physics beyond the Standard Model (SM)

  • The CMS and ATLAS collaborations reported the differential crosssection measurement of pp → Z(∗)Z(∗) → 4, 2 2ν ( = e, μ) at high invariant-mass of the ZZ system [3,4,5]. This process receives a sizable contribution from a Higgs produced offshell by gluon fusion [6, 7]. This process potentially carries information relevant for probing the Effective Field Theory (EFT) at large momenta and could reveal the energy-dependence of the Higgs couplings controlled by higher-dimensional operators with extra derivatives

  • We describe the technical details of our simulations: Parton Distribution Function (PDF) sets and scales The gg → ZZ process was simulated with LO PDFs

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Summary

Introduction

With the discovery of the Higgs boson by the ATLAS and CMS experiments [1, 2], high energy physics experiences a transition: after a long period of search and exploration, an era of consolidation and precise measurements has just started and it will complement the direct search for new physics beyond the Standard Model (SM). This process potentially carries information relevant for probing the EFT at large momenta and could reveal the energy-dependence of the Higgs couplings controlled by higher-dimensional operators with extra derivatives It has been proposed [8] to use the off-shell Higgs data to bound, in a model-independent way, the Higgs width. The double Higgs production by fusion of gluons effectively introduces a second mass scale and can be used to separate the top Yukawa coupling from the contact interaction to gluons or photons [26, 27] Note that these two channels will require some large integrated luminosity, beyond the run 2 of the LHC.

Constraining the anomalous couplings of the Higgs boson
Operators contributing to Higgs production
Bounds on the Higgs couplings
Details of the simulation
Results for the HL-LHC
Bounds on top partners
CP -odd case
Results for the FCC-hh
Conclusion
A Fitting the Higgs width
B Operators modifying the Higgs decay
C Loop functions
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