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Gluon Fusion Background to VBF

Input parameters and settings

$\sqrt{s} = 13.6\,\mathrm{TeV}$
PDF set: PDF4LHC21_40
$M_\mathrm{H} = 125.09\,\mathrm{GeV}$
$m_\mathrm{t} = 172.5\,\mathrm{GeV}$
$M_\mathrm{Z} = 91.1876\,\mathrm{GeV}$, $\Gamma_\mathrm{Z} = 2.4952\,\mathrm{GeV}$
$M_\mathrm{W} = 80.379\,\mathrm{GeV}$, $\Gamma_\mathrm{W} = 2.085\,\mathrm{GeV}$
G-mu scheme with $\alpha_{G_\mu} = 0.75652103079904\ldots \times 10^{-2}$ (from $G_\mu = 1.16638 \times 10^{-5}\,\mathrm{GeV}^{-2}$)
central scale choice: $\mu_0^2 = (M_\mathrm{H}/2) \, \sqrt{ (M_\mathrm{H}/2)^2 + p_\mathrm{T,H}^2 }$ (Eq.(2) of 1506.02660)

Event definition/selection:

Histograms and binning:

single-differential $m_{jj}$: [300, 500, 700, 900, 1100, ∞]
single-differential $p_\mathrm{T,H}$: [0, 80, 120 ,260, 500, 850, ∞]
single-differential $\Delta\phi_{jj}$: [0, π/4, π/2, π]
single-differential $\Delta y_{jj}$: [2,4,5,6,7,∞]
double-differential ($m_{jj} \times p_\mathrm{T,H}$): [300,500,700,900,1100,∞] × [0,80,120,260,500,850,∞]
double-differential ($m_{jj} \times \Delta\phi_{jj}$): [300,500,700,900,1100,∞] × [0, π/4, π/2, 3π/4, π] [which one? 200 GeV or “with steps of 50 GeV in Mjj”]
double-differential ($m_{jj} \times \Delta y_{jj}$): [300,500,700,900,1100,∞] × [2-9] (in steps of 0.1?!) [which one? 200 GeV or “with steps of 50 GeV in Mjj”; is there a deltay bin 0-2?]
double-differential ($p_\mathrm{T,H} \times \Delta y_{jj}$): [0, ..(10).. 850, ∞] × [2-9] (in steps of 0.1?!) [which one? 200 GeV or “with steps of 50 GeV in Mjj”; is there a deltay bin 0-2?]

STXS binning (these histograms require an additional cut of $m_{jj} > 350\,\mathrm{GeV}$)

triple-differential ($m_{jj} \times p_\mathrm{T,H} \times \Delta\phi_{jj}$): [350, 700, 1000, 1500, ∞] × [0, 200, ∞] × [0, π/2, π]