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arXiv · 1807.03509

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

R. V. Harlander·J. Klappert·A. D. Ochoa·A. Voigt
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Abstract

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 (N$^3$LL), keeping terms of leading order in the top Yukawa coupling $\alpha_t$, and NNLO in the strong coupling $\alpha_s$. To this goal, the three-loop matching coefficient for the quartic Higgs coupling of the SM to the MSSM is derived to order $\alpha_t^2\alpha_s^2$ 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.

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R. V. Harlander, J. Klappert, A. D. Ochoa, A. Voigt. 2018-07-10. The light CP-even MSSM Higgs mass resummed to fourth logarithmic order. https://doi.org/10.1140/epjc%2Fs10052-018-6351-6

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