Virtual corrections to gg → ZH in the high-energy and large-mt limits
Joshua Davies, Go Mishima, Matthias Steinhauser
Abstract
A bstract We compute the next-to-leading order virtual corrections to the partonic cross-section of the process gg → ZH , in the high-energy and large- m t limits. We use Padé approximants to increase the radius of convergence of the high-energy expansion in $$ {m}_t^2/s $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msubsup><mml:mi>m</mml:mi><mml:mi>t</mml:mi><mml:mn>2</mml:mn></mml:msubsup><mml:mo>/</mml:mo><mml:mi>s</mml:mi></mml:math> , $$ {m}_t^2/t $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msubsup><mml:mi>m</mml:mi><mml:mi>t</mml:mi><mml:mn>2</mml:mn></mml:msubsup><mml:mo>/</mml:mo><mml:mi>t</mml:mi></mml:math> and $$ {m}_t^2/u $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msubsup><mml:mi>m</mml:mi><mml:mi>t</mml:mi><mml:mn>2</mml:mn></mml:msubsup><mml:mo>/</mml:mo><mml:mi>u</mml:mi></mml:math> and show that precise results can be obtained down to energies which are fairly close to the top quark pair threshold. We present results both for the form factors and the next-to-leading order virtual cross-section.