[SLAC] [SLAC Pubs and Reports]

SLAC-PUB-7764
Supersymmetry-Breaking Loops from Analytic Continuation into Superspace

Abstract

We extend to all orders in perturbation theory a method to calculate supersymmetry-breaking effects by analytic continuation of the %RG renormalization group into superspace. %It was recently demonstrated by two of the present authors that %an interesting class of leading 1- and 2-loop calculations in \susy-breaking %theories could be performed by ``analytic continuation'' of \rg %equations into superspace. %The present work extends these methods both to higher orders %in perturbation theory, important for computing next-to-leading %order (NLO) quatities, as well as to the most general %form for soft breakings. %We give definitions of the renormalized couplings %in \susc gauge theories that can be treated as %superfields to all orders in perturbation theory. A central observation is that the renormalized gauge coupling can be extended to a real vector superfield, thereby including soft breaking effects in the gauge sector. We explain the relation between this vector superfield coupling and the ``holomorphic" gauge coupling, which is a chiral superfield running only at 1 loop. %We explain in detail how this is %consistent with perturbative results %that apparently violate holomorphy of coupling constants. We consider these issues for a number of regulators, including %the practically useful case of Dimensional Reduction. dimensional reduction. %In particular, the renormalized gauge coupling is a holomorphic %object whose renormalization group equation is purely one-loop. %We explain in detail how this is consistent with perturbative results %that apparently violate holomorphy of coupling constants. With this method, the %RG flow renormalization group equations for soft supersymmetry breaking terms are directly %obtained from the related to \susc beta functions and anomalous dimensions to all orders in perturbation theory. However, the real power of the formalism lies %, however, in computing finite soft breaking effects corresponding to high-loop component calculations. We prove that the gaugino mass in gauge-mediated \susy breaking is ``screened'' from strong interactions in the messenger sector. We present the complete next-to-leading calculation of gaugino masses (2 loops) and sfermion masses (3 loops) in minimal gauge mediation, and several other calculations of phenomenological relevance. %as well as the leading contribution %to gaugino masses in ``mediator" models of gauge-mediation (5 loops). %We also compute the gauge-mediated effective potential %induced along classically flat directions, both for $D$ flat directions (2 %loops) as well as for the scalar partner of the axion (3 loops). %We also compute interesting effects in gauge-mediated models, some %of which correspond to finite parts of 5-loop diagrams in components.

(Equations render on Windows, Mac OS, AIX, Linux, Solaris, and IRIX with the techexplorer plug-in.)

Full Text

PDF

Compressed PostScript

techexplorer

Notes

The PDF version of this document was distilled from a PostScript file most likely created from LaTeX source which used Type 3 fonts. The resultant PDF may be unreadable on the screen at the default viewing magnification (fonts will appear bitmapped, jagged), though the type will be legible at higher magnifications.

Despite the cosmetic problems resulting from the use Type 3 fonts in the original source file, such PDF files print without problems; likewise, the onscreen text is searchable and selectable.

More Information

Full bibliographic data for this document, including its complete author list, is (or soon will be) available from SLAC's SPIRES-HEP Database.

Please report problems with this file to posting@slac.stanford.edu. The SLAC preprint inventory is provided by the SLAC Technical Publications Department.
Page generated 04 Apr 2001 @ 15:08 PDT by htmlme.pl