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The inclusive $b \bar{b}$- and $c \bar{c}$-dijet production cross-sections inthe forward region of $pp$ collisions are measured using a data samplecollected with the LHCb detector at a centre-of-mass energy of 13 TeV in 2016.The data sample corresponds to an integrated luminosity of 1.6 fb$^{-1}$.Differential cross-sections are measured as a function of the transversemomentum and of the pseudorapidity of the leading jet, of the rapiditydifference between the jets, and of the dijet invariant mass. A fiducial regionfor the measurement is defined by requiring that the two jets originating fromthe two $b$ or $c$ quarks are emitted with transverse momentum greater than 20GeV$/c$, pseudorapidity in the range $2.2 < \eta < 4.2$, and with a differencein the azimuthal angle between the two jets greater than 1.5. The integrated $b\bar{b}$-dijet cross-section is measured to be $53.0 \pm 9.7$ nb, and the total$c \bar{c}$-dijet cross-section is measured to be $73 \pm 16$ nb. The ratiobetween $c \bar{c}$- and $b \bar{b}$-dijet cross-sections is also measured andfound to be $1.37 \pm 0.27$. The results are in agreement with theoreticalpredictions at next-to-leading order.

Measurement of differential $b\bar{b}$- and $c\bar{c}$-dijet cross-sections in the forward region of $pp$ collisions at $\sqrt{s}=13 ~ \mathrm{TeV}$