The light CP-even MSSM Higgs mass resummed to fourth logarithmic order.

We present the calculation of the light neutral CP-even Higgs mass in the MSSM for a heavy SUSY spectrum by resumming enhanced terms through fourth logarithmic order (N3LL), keeping terms of leading order in the top Yukawa coupling αt, and NNLO in the strong coupling αs. To this goal, the three-loop matching coefficient for the quartic Higgs coupling of the SM to the MSSM is derived to order αt2αs2 by comparing the perturbative EFT to the fixed-order expression for the Higgs mass. The new matching coefficient is made available through an updated version of the program Himalaya. Numerical effects of the higher-order resummation are studied using specific examples, and sources of theoretical uncertainty on this result are discussed. [ABSTRACT FROM AUTHOR]