# New results for light gravitinos at hadron colliders: Fermilab Tevatron limits and CERN LHC perspectives

## Abstract

We derive Feynman rules for the interactions of a single gravitino with (s)quarks and gluons/gluinos from an effective supergravity Lagrangian in nonderivative form and use them to calculate the hadroproduction cross sections and decay widths of single gravitinos. We confirm the results obtained previously with a derivative Lagrangian as well as those obtained with the nonderivative Lagrangian in the high-energy limit and elaborate on the connection between gauge independence and the presence of quartic vertices. We perform extensive numerical studies of branching ratios, total cross sections, and transverse-momentum spectra at the Fermilab Tevatron and the CERN LHC. From the latest CDF monojet cross section limit, we derive a new and robust exclusion contour in the gravitino-squark/gluino mass plane, implying that gravitinos with masses below 2x10{sup -5} to 1x10{sup -5} eV are excluded for squark/gluino masses below 200 and 500 GeV, respectively. These limits are complementary to the one obtained by the CDF Collaboration, 1.1x10{sup -5} eV, under the assumption of infinitely heavy squarks and gluinos. For the LHC, we conclude that supersymmetric scenarios with light gravitinos will lead to a striking monojet signal very quickly after its startup.

- Authors:

- Institut fuer Theoretische Physik, Universitaet Goettingen, Friedrich-Hund-Platz 1, D-37077 Goettingen (Germany) and Laboratoire de Physique Subatomique et de Cosmologie, Universite Joseph Fourier/CNRS-IN2P3, 53 Avenue des Martyrs, F-38026 Grenoble (France)
- (France)

- Publication Date:

- OSTI Identifier:
- 20929565

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 11; Other Information: DOI: 10.1103/PhysRevD.75.115003; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BRANCHING RATIO; CERN LHC; FERMILAB COLLIDER DETECTOR; FERMILAB TEVATRON; GEV RANGE 100-1000; GLUONS; GRAVITONS; LAGRANGIAN FUNCTION; MASS; NUMERICAL ANALYSIS; PARTICLE DECAY; PARTICLE WIDTHS; S QUARKS; SIGNALS; SUPERGRAVITY; SUPERSYMMETRY; TOTAL CROSS SECTIONS; TRANSVERSE MOMENTUM

### Citation Formats

```
Klasen, Michael, Pignol, Guillaume, and Laboratoire de Physique Subatomique et de Cosmologie, Universite Joseph Fourier/CNRS-IN2P3, 53 Avenue des Martyrs, F-38026 Grenoble.
```*New results for light gravitinos at hadron colliders: Fermilab Tevatron limits and CERN LHC perspectives*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.115003.

```
Klasen, Michael, Pignol, Guillaume, & Laboratoire de Physique Subatomique et de Cosmologie, Universite Joseph Fourier/CNRS-IN2P3, 53 Avenue des Martyrs, F-38026 Grenoble.
```*New results for light gravitinos at hadron colliders: Fermilab Tevatron limits and CERN LHC perspectives*. United States. doi:10.1103/PHYSREVD.75.115003.

```
Klasen, Michael, Pignol, Guillaume, and Laboratoire de Physique Subatomique et de Cosmologie, Universite Joseph Fourier/CNRS-IN2P3, 53 Avenue des Martyrs, F-38026 Grenoble. Fri .
"New results for light gravitinos at hadron colliders: Fermilab Tevatron limits and CERN LHC perspectives". United States.
doi:10.1103/PHYSREVD.75.115003.
```

```
@article{osti_20929565,
```

title = {New results for light gravitinos at hadron colliders: Fermilab Tevatron limits and CERN LHC perspectives},

author = {Klasen, Michael and Pignol, Guillaume and Laboratoire de Physique Subatomique et de Cosmologie, Universite Joseph Fourier/CNRS-IN2P3, 53 Avenue des Martyrs, F-38026 Grenoble},

abstractNote = {We derive Feynman rules for the interactions of a single gravitino with (s)quarks and gluons/gluinos from an effective supergravity Lagrangian in nonderivative form and use them to calculate the hadroproduction cross sections and decay widths of single gravitinos. We confirm the results obtained previously with a derivative Lagrangian as well as those obtained with the nonderivative Lagrangian in the high-energy limit and elaborate on the connection between gauge independence and the presence of quartic vertices. We perform extensive numerical studies of branching ratios, total cross sections, and transverse-momentum spectra at the Fermilab Tevatron and the CERN LHC. From the latest CDF monojet cross section limit, we derive a new and robust exclusion contour in the gravitino-squark/gluino mass plane, implying that gravitinos with masses below 2x10{sup -5} to 1x10{sup -5} eV are excluded for squark/gluino masses below 200 and 500 GeV, respectively. These limits are complementary to the one obtained by the CDF Collaboration, 1.1x10{sup -5} eV, under the assumption of infinitely heavy squarks and gluinos. For the LHC, we conclude that supersymmetric scenarios with light gravitinos will lead to a striking monojet signal very quickly after its startup.},

doi = {10.1103/PHYSREVD.75.115003},

journal = {Physical Review. D, Particles Fields},

number = 11,

volume = 75,

place = {United States},

year = {Fri Jun 01 00:00:00 EDT 2007},

month = {Fri Jun 01 00:00:00 EDT 2007}

}