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Very recently we proposed a predictive 2 Higgs Doublet Model with $S_{3}$flavour symmetry that successfully accounts for fermion masses and mixings. Inthis letter, motivated by the $750$ GeV Higgs diphoton resonance recentlyreported by the ATLAS and CMS collaborations, we modify this model by addingexotic top partners with electric charge $\frac{5}{3}$ and a electricallycharged scalar singlet. These exotic top partners decay into a charged scalarsinglet and the SM up type quarks, whereas the charged scalar singlet willmainly decay into SM up and down type quarks. This simple modification enablesour model to successfully account for the Higgs diphoton excess at$750\,\text{GeV}$ provided that the exotic quark masses are in the range$[1,2]$ TeV, for $O(1)$ exotic quark Yukawa couplings.

The $750\,\text{GeV}$ diphoton resonance in the light of a 2HDM with $S_3$ flavour symmetry