# A Peculiar Property of SUSY Amplitudes at High Energy

Abstract : We observe that the electroweak one loop correction to the quark+gluon toquark+Higgs amplitude at high energy involves both single and quadraticlogarithms of the energy in the SM case but only quadratic logarithms in theMSSM case. We explore the origin of this special SUSY cancellation, both in adiagrammatic way and through the splitting+Parameter Renormalization procedure.We show that it is not an accident but a remarkableand general SUSY property ofthe renormalized Higgs-fermion-fermion and Higgsino-sfermion-fermion verticeswhich directly reflects in such processes, for example in $bg\to tH^-$, $bg\tobH^0$, $bg\to bh^0$, $bg\to bA^0$, and through equivalence in $bg\totW^-_{long}$, $bg\to bZ_{long}$, as well as in $bg\to \tilde{t}\chi^-$,$bg\to\tilde{b}\chi^0$. This simplification of the high energy behaviour (whichonly leaves quadratic logarithms involving pure gauge couplings without anyfree parameter) allows to write simple relations among these various processeswhich constitute genuine tests of the assumed SUSY model.
Keywords :
Document type :
Journal articles
International Journal of Modern Physics A, World Scientific Publishing, 2009, 24 (32), pp.6123-6140. <10.1142/S0217751X09047569>

https://hal.archives-ouvertes.fr/hal-00376719
Contributor : Logiciel Aigle <>
Submitted on : Monday, April 20, 2009 - 9:41:38 AM
Last modification on : Tuesday, December 8, 2015 - 1:02:22 AM

### Citation

M. Beccaria, Fernand Michel Renard, C. Verzegnassi. A Peculiar Property of SUSY Amplitudes at High Energy. International Journal of Modern Physics A, World Scientific Publishing, 2009, 24 (32), pp.6123-6140. <10.1142/S0217751X09047569>. <hal-00376719>

### Metrics

Consultations de la notice