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Some Remarks On Gauge-Mediated Supersymmetry Breaking

Erich Poppitz, Sandip P. Trivedi

Abstract

We investigate the communication of supersymmetry breaking to the Standard Model in theories of gauge mediated supersymmetry breaking with general weakly coupled messenger sectors. We calculate the one loop gaugino and two loop soft scalar masses for nonvanishing Str M^2 of the messenger sector. The soft scalar masses are sensitive to physics at scales higher than the messenger scale, in contrast to models with vanishing messenger supertrace. We discuss the implications of this ultraviolet sensitivity in theories with renormalizable and nonrenormalizable supersymmetry breaking sectors. We note that the standard relation, in minimal gauge mediation, between soft scalar and gaugino masses is altered in models with nonvanishing messenger supertrace.

Some Remarks On Gauge-Mediated Supersymmetry Breaking

Abstract

We investigate the communication of supersymmetry breaking to the Standard Model in theories of gauge mediated supersymmetry breaking with general weakly coupled messenger sectors. We calculate the one loop gaugino and two loop soft scalar masses for nonvanishing Str M^2 of the messenger sector. The soft scalar masses are sensitive to physics at scales higher than the messenger scale, in contrast to models with vanishing messenger supertrace. We discuss the implications of this ultraviolet sensitivity in theories with renormalizable and nonrenormalizable supersymmetry breaking sectors. We note that the standard relation, in minimal gauge mediation, between soft scalar and gaugino masses is altered in models with nonvanishing messenger supertrace.

Paper Structure

This paper contains 7 sections, 12 equations, 4 figures.

Table of Contents

  1. Introduction.
  2. The two loop soft scalar masses with ${\bf {\rm Str} ~M^2_{\rm mess} \ne 0}$.
  3. Ultraviolet sensitivity and phenomenological consequences.
  4. What cuts off the logarithm?
  5. Renormalizable models.
  6. Nonrenormalizable models.
  7. Phenomenological consequences.

Figures (4)

  • Figure 1: One loop messenger contribution to Standard Model gaugino masses.
  • Figure 2: Divergent one-loop messenger contributions to the mass of the epsilon-scalars (dash-dotted lines), proportional to the supertrace of the messenger mass matrix.
  • Figure 3: One loop epsilon-scalar counterterm graph contributing to the two loop soft scalar mass.
  • Figure 4: Two-loop messenger contributions to Standard Model soft scalar masses (the wavy lines denote both gauge bosons and epsilon-scalar propagators). The infrared divergence, present when Str $M^2_{mess} \ne 0$, is cancelled by the counterterm graph of Fig. 3.