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We present a detailed study on the infrared structure of $\mathcal{N}=4$ SYMand its connection to QCD. Calculation of collinear splitting functions helpsto understand the structure and thus one can get infrared safe cross sections.We also demonstrate the factorization property that soft plus virtual part ofthe cross section satisfies and through factorization, we calculate softdistribution function up to third order in perturbation theory. We show thatthe soft distribution function is process independent that includes operatorsas well as external legs. In addition to this we compare our findings againstthe known results in QCD through principle of maximum transcendentality (PMT).We extend our analysis further for the case of three-point form factorsinvolving stress tensor and find that it violates the PMT while comparing withthe corresponding quantity in the standard model, observed for the first timeat the level of form factor.

Infrared structure of $\mathcal{N}$ = 4 SYM and leading transcendentality principle in gauge theory