CERN Accelerating science

Article
Report number	hep-th/9709111 ; CERN-TH-97-244 ; DFPD-97-TH-35 ; DFPD~97-TH-35 ; CERN-TH-97-244 ; DFPD-97-TH-35
Title	On the effective interactions of a light gravitino with matter fermions
Author(s)	Brignole, Andrea (CERN) ; Feruglio, Ferruccio (Padua U.) ; Zwirner, Fabio (INFN, Padua)
Affiliation	(CERN) ; (INFN Padua) ; (Padua Univ.)
Publication	1997
Imprint	17 Sep 1997
Number of pages	8
Note	Comments: 12 pages, 1 figure, plain LaTeX. An important proof added in section 5. Final version to be published in JHEP 12 pages, 1 figure, plain LaTeX. An important proof added in section 5. Final version to be published in JHEP
In:	JHEP 11 (1997) 001
DOI	10.1088/1126-6708/1997/11/001
Subject category	Particle Physics - Theory
Abstract	If the gravitino is light and all the other supersymmetric particles are heavy, we can consider the effective theory describing the interactions of its goldstino components with ordinary matter. To discuss the model-dependence of these interactions, we take the simple case of spontaneously broken supersymmetry and only two chiral superfields, associated with the goldstino and a massless matter fermion. We derive the four-point effective coupling involving two matter fermions and two goldstinos, by explicit integration of the heavy spin-0 degrees of freedom in the low-energy limit. Surprisingly, our result is not equivalent to the usual non-linear realization of supersymmetry, where a pair of goldstinos couples to the energy-momentum tensor of the matter fields. We solve the puzzle by enlarging the non-linear realization to include a second independent invariant coupling. We conclude by commenting on the interpretation of our results and on their possible phenomenological implications.

Corresponding record in: Inspire
Email contact: [email protected]