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We investigate in detail the effects of the R-parity lepton number violationin the minimal supersymmetric standard model (MSSM) on the parent process $pp\to e^+ e^- + X$ at the CERN Large Hadron Collider (LHC). The numericalcomparisons between the contributions of the R-parity violating effects to theparent process via the Drell-Yan subprocess and the gluon-gluon fusion aremade. We find that the R-violating effects on $e^+ e^-$ pair production at theLHC could be significant. The results show that the cross section of the $ e^+e^-$ pair productions via gluon-gluon collision at the LHC can be of the orderof $10^2$ fb, and this subprocess maybe competitive with the productionmechanism via the Drell-Yan subprocess. We give also quantitatively theanalysis of the effects from both the mass of sneutrino and coupling strengthof the R-parity violating interactions.Comment: 18 pages, 10 figures, accepted by Phys. Rev.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Effects of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>R</mml:mi></mml:math>-parity violation in the minimal supersymmetric standard model on dilepton pair production at the CERN LHC

Effects ofR-parity violation in the minimal supersymmetric standard model on dilepton pair production at the CERN LHC