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The light CP-even MSSM Higgs mass resummed to fourth logarithmic order
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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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Cited by 2 Pith papers
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Higgs-Boson Masses and Mixings in the MSSM with CP Violation and Heavy SUSY Particles
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Full two-loop QCD corrections to the Higgs mass in the MSSM with heavy superpartners
The two-loop QCD threshold corrections that mix strong and electroweak couplings in the MSSM Higgs-mass EFT calculation are computed for the first time, completing the two-loop QCD matching at the SUSY scale.
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