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We present the results of the first complete one-loop matching calculationbetween the real singlet scalar extension of the Standard Model and theStandard Model effective field theory (SMEFT) at dimension six. Beyond theirimmediate relevance to the precision calculation of observables in singletextensions of the Standard Model, our results illustrate a variety of generalfeatures of one-loop matching. We explore the interplay betweennon-supersymmetric non-renormalization theorems, the logarithmic dependence ofWilson coefficients, and the relevance of mixed diagrams in theories with largescale separation. In addition, we highlight some of the subtleties involved incomputing observables at next-to-leading order in SMEFT by mapping our resultsto the $T$ parameter at one loop.

Complete One-Loop Matching for a Singlet Scalar in the Standard Model EFT