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The nature of the magnetic transition, critical scaling of magnetization, andmagnetocaloric effect in Mn$_{1+x}$Fe$_{4-x}$Si$_{3}$ ($ x =$ 0 to 1) arestudied in detail. Our measurements show no thermal hysteresis across themagnetic transition for the parent compound which is in contrast with theprevious report and corroborate the second order nature of the transition. Themagnetic transition could be tuned continuously with Mn substitution at the Fesite. The Mn substitution leads to a linear increase in the unit cell volumeand a slight reduction in the effective moment. A detailed critical analysis ofthe magnetization data for $x = 0.0$ and 0.2 is performed in the criticalregime using the modified Arrott plots, Kouvel-Fisher plot, universal curvescaling, and scaling analysis of magnetocaloric effect. The magnetizationisotherms follow modified Arrott plots with critical exponent ($\beta \simeq0.308$, $\gamma \simeq 1.448$, and $\delta \simeq 5.64$) for the parentcompound ($x=0.0$) and ($\beta \simeq 0.304$, $\gamma \simeq 1.445$, and$\delta \simeq 5.64$) for $x = 0.2$. The Kouvel-Fisher and universal scalingplots of the magnetization isotherms further confirm the reliability of ourcritical analysis and values of the exponents. These values of the criticalexponents are found to be same for both the parent and doped samples which donot fall under any of the standard universality classes. A reasonablemagnetocaloric effect $\Delta S_{\rm m}\simeq-6.67$~J/Kg-K and -5.84~J/Kg-K for$x= 0.0$ and 0.2 compounds, respectively, with a huge relative cooling power($RCP \sim 700$~J/Kg) for 9~T field change is observed. The universal scalingof magnetocaloric effect further mimics the second order character of themagnetic transition. The obtained critical exponents from the critical analysisof magnetocaloric effect agree with the values deduced from the magneticisotherm analysis.

Critical behavior and magnetocaloric effect across the magnetic transition in Mn$_{1+x}$Fe$_{4-x}$Si$_{3}$