On the two-loop sbottom corrections to the neutral Higgs boson masses in the MSSM

By A. Brignole, Giuseppe Degrassi, Pietro Slavich, F. Zwirner. 2002

220 citations recorded by the source corpus.

Abstract We compute the O (α b α s ) two-loop corrections to the neutral Higgs boson masses in the Minimal Supersymmetric Standard Model, using the effective potential approach. Such corrections can be important in the region of parameter space corresponding to tanβ⪢1 and sizeable μ. In spite of the formal analogy with the O (α t α s ) corrections, there are important differences, since the dominant effects are controlled by the sbottom-Higgs scalar couplings. We propose a convenient renormalization scheme that avoids unphysically large threshold effects associated with the bottom mass, and absorbs the bulk of the O (α b α s +α b α t ) corrections into the one-loop expression. We give general explicit formulae for the O (α b α s ) corrections to the neutral Higgs boson mass matrix. We also discuss the importance of the O (α b 2 ) corrections and derive a formula for their contribution to mh in a simple limiting case.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/e5190f9c029379be3205e116f99db0e4a3f1bd45

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Citations in the corpus

Reconciling EFT and hybrid calculations of the light MSSM Higgs-boson mass (2017, background): “Accordingly, at the full one-loop level, including logarithmic as well as non-logarithmic terms, the conversion from DR to OS parameters for the stop mixing parameter and the stop masses, which are particularly relevant in the context of MSSM Higgs mass predictions, reads (for explicit formulas see ”
Precise prediction for the light MSSM Higgs-boson mass combining effective field theory and fixed-order calculations (2016, background): “The full one-loop result [3–5], the dominant two-loop corrections [6–20] as well as partial three-loop results [21, 22] are known.”
SusHi: A program for the calculation of Higgs production in gluon fusion and bottom-quark annihilation in the Standard Model and the MSSM (2012, unknown): “In order to calculate the on-shell sbottom masses, we choose the “on-shell” renormalization of Ab, defined through a kinematical condition on the Ab̃1b̃2-vertex [42, 83, 88, 89].”
Precise determination of the neutral Higgs boson masses in the MSSM (2004, background): “The leading logarithmic effects at two loops have been subsequently included via appropriate RGEs [17, 18], and the genuine two-loop corrections of O(αtαs) [19, 20, 21, 22, 23] and O(αbαs) [24] have been evaluated in the limit of zero external momentum.”