Atomic disorder and Berry phase driven anomalous Hall effect in a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>Co</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mi>FeAl</mml:mi></mml:mrow></mml:math> Heusler compound

${\mathrm{Co}}_{2}$-based Heusler compounds are promising materials for spintronics applications due to their high Curie temperature, large spin polarization, magnetization density, and exotic transport properties. In the present paper, we report anomalous Hall effect (AHE) in a polycrystalline ${\mathrm{Co}}_{2}\mathrm{FeAl}$ compound using combined experimental theoretical studies. The Rietveld analysis of high-resolution synchrotron x-ray diffraction data reveals degree $(\ensuremath{\sim}50%)$ antisite disorder between Fe Al atoms. provides conductivity (AHC) about 227 S/cm at 2 K with an intrinsic contribution 155 S/cm, which has nearly constant variation temperature. detailed scaling resistivity suggests that AHE is governed by Berry phase driven mechanism. Our calculations reveal enhances curvature induced AHC.