A bstract We present a calculation of the thrust distribution in Higgs decays to quarks and gluons, H bb H → b b ¯, H cc H → c c ¯, and H → gg, including the resummation of large logarithmic corrections that arise in the two-particle limit at next-to-next-to-leading logarithmic (NNLL) accuracy, and match it to fixed-order results for three-particle decays at next-to-next-to-leading order (NNLO) in the strong coupling. The resummation is performed analytically within the A res framework and combined with the fixed-order results using the logR matching technique. The fixed-order calculation is carried out numerically with the NNLO jet parton-level event generator, using the antenna subtraction method. We perform detailed cross-validation in the two-particle region, demonstrating that the expansion of the NNLL resummed result correctly reproduces the logarithmic structure of the fixed-order calculation to O (ₒ³) O α s 3, up to a predictable N 3 LL term at O (ₒ³L) O α s 3 L. In addition to providing the first NNLO+NNLL accurate predictions for the thrust distribution in Higgs decays to quarks and gluons, we analytically extract the O (ₒ²) O α s 2 hard-virtual correction c 2 and the ₒ³L α s 3 L term G 31 in both the H qq H → q q ¯ (q = b, c) and H → gg decay channels.
Fox et al. (Fri,) studied this question.