A little more gauge mediation and the light Higgs mass

We consider minimal models of gauge mediated supersymmetry breaking with an extra <math altimg="si1.gif" xmlns="http://www.w3.org/1998/Math/MathML"><mi>U</mi><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></math> factor in addition to the Standard Model gauge group. A <math altimg="si1.gif" xmlns="http://www.w3.org/1998/Math/MathML"><mi>U</mi><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></math> charged, Standard Model singlet is assumed to be present which allows for an additional NMSSM like coupling, <math altimg="si2.gif" xmlns="http://www.w3.org/1998/Math/MathML"><mi>λ</mi><msub><mrow><mi>H</mi></mrow><mrow><mi>u</mi></mrow></msub><msub><mrow><mi>H</mi></mrow><mrow><mi>d</mi></mrow></msub><mi>S</mi></math> . The <math altimg="si1.gif" xmlns="http://www.w3.org/1998/Math/MathML"><mi>U</mi><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></math> is assumed to be flavour universal. Anomaly cancellation in the MSSM sector requires additional coloured degrees of freedom. The S field can get a large vacuum expectation value along with consistent electroweak symmetry breaking. It is shown that the lightest CP even Higgs boson can attain mass of the order of 125 GeV