Gluonic evanescent operators: two-loop anomalous dimensions

Evanescent operators are a special class of that vanish in four-dimensional spacetime but non-zero $d=4-2\epsilon$ dimensions. In this paper, we continue our systematic study the evanescent pure Yang-Mills theory and focus on their two-loop renormalization. We develop an efficient strategy to compute divergences form factors high-dimensional high-length by combining $d$-dimensional unitarity method improved tensor reduction techniques. Two-loop anomalous dimensions obtained for mass-dimension-10 basis planar YM theory, which both $\overline{\text{MS}}$ scheme finite-renormalization used. verify same these two schemes at Wilson-Fisher conformal fixed point. Our computation shows indispensable order obtain correct This work provides first complete set dimension-10 operators. The use is also expected provide renormalization general