arXiv : The Higgs mass in the CP violating MSSM, NMSSM, and beyond

Goodsell, Mark D.; Staub, Florian

doi:10.1140/epjc/s10052-016-4495-9

Article
Report number	arXiv:1604.05335 ; CERN-TH-2016-089
Title	The Higgs mass in the CP violating MSSM, NMSSM, and beyond
Author(s)	Goodsell, Mark D. (Paris, LPTHE) ; Staub, Florian (CERN)
Publication	2017-01-25
Imprint	18 Apr 2016
Number of pages	17
Note	19 pages, 14 figures
In:	Eur. Phys. J. C 77 (2017) 46
DOI	10.1140/epjc/s10052-016-4495-9
Subject category	hep-ph ; Particle Physics - Phenomenology
Abstract	We discuss the automatised calculation of the Higgs mass in renormalisable supersymmetric models with complex parameters at the two-loop level. Our setup is based on the public codes SARAH and SPheno, which can now compute the two-loop corrections to masses of all neutral scalars in such theories. The generic ansatz for these calculations and the handling of the `Goldstone Boson catastrophe' is described. It is shown that we find perfect agreement with other existing two-loop calculations performed in the DR-bar scheme. We also use the functionality to derive results for the MSSM and NMSSM not available before: the Higgs mass in the constrained version of the complex MSSM, and the impact of CP phases in the two-loop corrections beyond order alpha-strong alpha-top for the scale invariant NMSSM are briefly analysed.
Copyright/License	arXiv nonexclusive-distrib. 1.0 preprint: © 2016-2025 CERN (License: CC-BY-4.0) publication: © 2017-2025 The Author(s) (License: CC-BY-4.0), sponsored by SCOAP³

$Plot of the lightest Higgs boson mass in the MSSM, for the parameters given in sec.~\ref{sec:MSSM_Low} with $M_3 = 2000$ \GeV, as the phase of the trilinear soft terms is varied. In red is the result of the new CP-violating code; the blue dashed curve is a quadratic interpolation of the values $\phi_u = 0, \pi$ from the Higgs mass calculated at two loops in the CP conserving routines, where the difference is added to the one-loop CP-violating case. As can be seen we find perfect agreement for the two routines at the values $\phi_u = 0,\pm \pi$.$ $The calculated mass for the neutral Goldstone Boson in the MSSM in Landau gauge as function of im($M_3$). The green line corresponds to the correct calculation. The red lines show the impact of a possible inconsistency in the two-loop calculation: for the dashed line, the phase of $T_u$ was only included in the calculation of the masses and rotation matrices entering the loop calculation, but dropped in the vertices. For the full line, the phase of the rotation matrix $Z_U$ was put to zero. For the dotted line the phase of a single vertex in a single diagram involving gluino and (s)down (!) squarks was swapped. The other input parameters are $m_0 = \text{re}(M_{1/2}) = 1$~TeV, $A_0 = -2$~TeV, $\tan\beta=10$, $\text{sign}(\mu)>0$.$ $Effect of the one-loop corrections (first row) and two-loop corrections (second row) on the masses of the three lightest scalars as function of im($\lambda)$. The blue lines correspond to \SPheno, the red ones to \NC.$ Show more plots

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Record created 2016-04-21, last modified 2022-08-10

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