Non-holomorphic contributions in GMSB with adjoint messengers

Abstract We consider models of gauge mediated supersymmetry breaking involving the messenger fields from the adjoint representation of MSSM’s gauge group. In addition, we include the non-holomorphic (NH) terms induced by the supersymmetry breaking and involve them in the renormalization group evolution in calculating the low scale implications. With the NH contributions, the stau mass-square can be driven to the positive values in the renormalization group evolution, even if the hypercharge interactions are small. We realize that the NH contributions can be as high as about 25 TeV in the right-handed stau mass. Despite such large contributions, the effects from the NH terms in sparticle mixing can lower the overall NH contributions in the mass eigenstates by about 5 TeV. Similarly, the sbottom mass can differ by about 6–7 TeV, and the stop mass by about 15 TeV, when the NH terms are largely induced. Their contributions in the sparticle masses lead to significant impacts in the SM-like Higgs boson as well. The NH contributions can yield 80 GeV heavier SM-like Higgs boson. In a small region of the parameter space, we also observe negative NH contributions in the masses such that the sparticles can be lighter about 1 TeV while the Higgs boson mass can be lowered by about 20 GeV in this region. The NH contributions can have interesting consequences in the muon anomalous magnetic moment (muon $$g-2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>g</mml:mi> <mml:mo>-</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> </mml:math> ). The NH terms reduce the supersymmetric contributions to muon $$g-2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>g</mml:mi> <mml:mo>-</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> </mml:math> by leading to heavier mass spectrum. In addition, the NH mixing term in smuons lowers further such that the light sleptons, neutralinos and charginos can still be consistent with the latest updates in muon $$g-2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>g</mml:mi> <mml:mo>-</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> </mml:math> measurements.