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Probing the nature of the Higgs-gluon coupling

Robert V. Harlander, Tobias Neumann

TL;DR

Problem: The SM Higgs–gluon coupling is loop-induced and may be modified by new physics. Approach: Use an effective field theory with dimension-7 operators to couple a scalar or pseudo-scalar Higgs to gluons and analyze H+1-jet and H+2-jet observables at LO, including operator interference and higher-order suppressed terms. Findings: Dimension-7 operators can noticeably distort the Higgs p_T spectrum and two-jet angular observables, with strong channel-dependent effects and notable contributions from higher-order operator products; CP-even and CP-odd cases display related but distinct patterns. Significance: The framework provides a practical method to probe non-SM Higgs–gluon structure at the LHC and highlights the need for NLO QCD studies to robustly extract potential deviations.

Abstract

One and two-jet observables of dimension-7 Higgs-gluon coupling operators are studied as probes of possible deviations from the top-loop induced gluon-Higgs coupling. We discuss the case of both a scalar as well as a pseudo-scalar Higgs boson and show that higher order operators can give visible deviations from Standard Model distribution shapes.

Probing the nature of the Higgs-gluon coupling

TL;DR

Problem: The SM Higgs–gluon coupling is loop-induced and may be modified by new physics. Approach: Use an effective field theory with dimension-7 operators to couple a scalar or pseudo-scalar Higgs to gluons and analyze H+1-jet and H+2-jet observables at LO, including operator interference and higher-order suppressed terms. Findings: Dimension-7 operators can noticeably distort the Higgs p_T spectrum and two-jet angular observables, with strong channel-dependent effects and notable contributions from higher-order operator products; CP-even and CP-odd cases display related but distinct patterns. Significance: The framework provides a practical method to probe non-SM Higgs–gluon structure at the LHC and highlights the need for NLO QCD studies to robustly extract potential deviations.

Abstract

One and two-jet observables of dimension-7 Higgs-gluon coupling operators are studied as probes of possible deviations from the top-loop induced gluon-Higgs coupling. We discuss the case of both a scalar as well as a pseudo-scalar Higgs boson and show that higher order operators can give visible deviations from Standard Model distribution shapes.

Paper Structure

This paper contains 12 sections, 10 equations, 15 figures, 14 tables.

Figures (15)

  • Figure 1: Normalized Higgs transverse momentum distributions for scalar coupling operators. The normalization factors $\sigma_{ij}$ are given in tab:sigmaijpt.
  • Figure 2: Same as fig:ptdist-LO-suppression, but for pseudo-scalar coupling operators. Note that the $gg$ channel is identical to the scalar case. The $\sigma_{ij}$ are given in tab:sigmaijpttilde.
  • Figure 3: Higgs transverse momentum distributions with .9 SM matching coefficients, resulting in a total $m_t^2$-suppression with respect to $C_1^2$. Please note that in case of the $gq$ and summed channel the crossterm $\mathcal{O}_1\mathcal{O}_5$ has been multiplied with $-1$. For the $qq$ channel the crossterm $\mathcal{O}_1\mathcal{O}_2$ has been multiplied with $-1$.
  • Figure 4: Normalized distributions for azimuthal angle difference of the two final state jets for scalar operators. The $\sigma_{ij}$ are given in tab:phiij.
  • Figure 5: Same as fig:phidist-LO-suppression, but for pseudo-scalar operators. The $\sigma_{ij}$ are given in tab:phiijtilde.
  • ...and 10 more figures