The renormalisation of quark and gluon fields in the SMEFT at two loops
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The Standard Model Effective Field Theory provides a systematic framework to describe possible effects of new physics at energies accessible to current and future colliders. As experimental precision improves, consistent higher-order calculations in the SMEFT become increasingly important. In this seminar, I will discuss recent progress towards the two-loop renormalisation of the dimension-six SMEFT in the QCD sector. I will focus on the renormalisation of quark and gluon fields, quark masses, and the strong coupling in the presence of QCD operators such as the top-quark chromomagnetic operator, the triple-gluon operator, and four-fermion operators involving third-generation quarks. I will present results in both the MS-bar and on-shell renormalisation schemes, highlighting the role of physical and unphysical operator mixing, γ5-scheme choices, and evanescent operators. These results provide ingredients for two-loop SMEFT anomalous dimensions and for precision phenomenology involving top quarks and QCD interactions.