Abstract
In the Minimal Supersymmetric Standard Model heavy superparticles introduce large logarithms in the calculation of the lightest $\mathcal{CP}$-even Higgs boson mass. These logarithmic contributions can be resummed using effective field theory techniques. For light superparticles, however, fixed-order calculations are expected to be more accurate. To gain a precise prediction also for intermediate mass scales, both approaches have to be combined. Here, we report on an improvement of this method in various steps: the inclusion of electroweak contributions, of separate electroweakino and gluino thresholds, as well as resummation at the NNLL level. These improvements can lead to significant numerical effects. In most cases, the lightest $\mathcal{CP}$-even Higgs boson mass is shifted downwards by about 1 GeV. This is mainly caused by higher order corrections to the $\bar{\text{MS}}$ top-quark mass. We also describe the implementation of the new contributions in the code {\tt FeynHiggs}.
Highlights
With the discovery of the Higgs boson by the ATLAS [1] and CMS [2] experiments at the CERN Large Hadron Collider the Standard Model (SM) has been completed; there is, still ample room for Beyond Standard Model (BSM) physics
Since the Higgs mass Mh is very sensitive to quantum effects via loop contributions, much work has been dedicated to their calculation within the Minimal Supersymmetric Standard Model (MSSM)
We have presented and discussed the inclusion of electroweak contributions, electroweakino and gluino thresholds, and next-tonext-to-leading logarithm (NNLL) resummation in the effective field theory (EFT) resummation of logarithmically enhanced terms in the calculation of the lightest Higgs-boson mass Mh, on top of the fixed-order oneand two-loop computation as currently available in the code FeynHiggs
Summary
With the discovery of the Higgs boson by the ATLAS [1] and CMS [2] experiments at the CERN Large Hadron Collider the Standard Model (SM) has been completed; there is, still ample room for Beyond Standard Model (BSM) physics. One of the best motivated and studied BSM models is the Minimal Supersymmetric Standard Model (MSSM) realizing the concept of supersymmetry (SUSY) It extends the Higgs sector of the SM by a second complex doublet leading to five physical Higgs particles (h, H , A, and H ±) and three (would-be) Goldstone bosons. The authors of [32] first realized the idea of combining the diagrammatic and the EFT approach and implemented the method into the publicly available program FeynHiggs [8,32,33,34,35,36], which contains the complete fixed-order one-loop result as well as dominant two-loop results; NLL resummation was done for the strong and top Yukawa coupling enhanced logarithmic terms beyond the two-loop order. For the resummation of leading logarithms (LL), one-loop RGEs and tree-level matching conditions are needed; for the resummation of leading and next-to-leading logarithms (NLL), two-loop RGEs and one-loop matching conditions, and, for the resummation of leading, next-toleading and next-to-next-to-leading logarithms, three-loop RGEs and two-loop matching conditions
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