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Joint resummation for slepton pair production at hadron colliders

G. Bozzi, B. Fuks, M. Klasen

TL;DR

The paper develops and applies a joint resummation framework at NLL to slepton-pair and slepton-sneutrino production at the LHC, unifying soft-gluon effects in both $q_T$ and threshold regions via Mellin-$N$ and impact-parameter $b$ space with a universal Sudakov exponent. It provides a detailed matching to fixed-order NLO, discusses inverse-transform contours to avoid Landau poles, and evaluates the phenomenology for a representative SUSY scenario, showing reduced scale dependence and small non-perturbative impacts. Numerical results reveal that resummation modestly enhances high-mass cross sections relative to LO while remaining close to NLO SUSY-QCD predictions, and dramatically stabilizes predictions across kinematic regions. Overall, the work yields more robust predictions for slepton searches at the LHC and demonstrates the practicality of joint resummation for SUSY processes with colorless final states.

Abstract

We present a precision calculation of the transverse-momentum and invariant-mass distributions for supersymmetric particle pair production at hadron colliders, focusing on Drell-Yan like slepton pair and slepton-sneutrino associated production at the CERN Large Hadron Collider. We implement the joint resummation formalism at the next-to-leading logarithmic accuracy with a process-independent Sudakov form factor, thus ensuring a universal description of soft-gluon emission, and consistently match the obtained result with the pure perturbative result at the first order in the strong coupling constant, i.e. at O(alpha_s). We also implement three different recent parameterizations of non-perturbative effects. Numerically, we give predictions for ~e_R ~e_R^* production and compare the resummed cross section with the perturbative result. The dependence on unphysical scales is found to be reduced, and non-perturbative contributions remain small.

Joint resummation for slepton pair production at hadron colliders

TL;DR

The paper develops and applies a joint resummation framework at NLL to slepton-pair and slepton-sneutrino production at the LHC, unifying soft-gluon effects in both and threshold regions via Mellin- and impact-parameter space with a universal Sudakov exponent. It provides a detailed matching to fixed-order NLO, discusses inverse-transform contours to avoid Landau poles, and evaluates the phenomenology for a representative SUSY scenario, showing reduced scale dependence and small non-perturbative impacts. Numerical results reveal that resummation modestly enhances high-mass cross sections relative to LO while remaining close to NLO SUSY-QCD predictions, and dramatically stabilizes predictions across kinematic regions. Overall, the work yields more robust predictions for slepton searches at the LHC and demonstrates the practicality of joint resummation for SUSY processes with colorless final states.

Abstract

We present a precision calculation of the transverse-momentum and invariant-mass distributions for supersymmetric particle pair production at hadron colliders, focusing on Drell-Yan like slepton pair and slepton-sneutrino associated production at the CERN Large Hadron Collider. We implement the joint resummation formalism at the next-to-leading logarithmic accuracy with a process-independent Sudakov form factor, thus ensuring a universal description of soft-gluon emission, and consistently match the obtained result with the pure perturbative result at the first order in the strong coupling constant, i.e. at O(alpha_s). We also implement three different recent parameterizations of non-perturbative effects. Numerically, we give predictions for ~e_R ~e_R^* production and compare the resummed cross section with the perturbative result. The dependence on unphysical scales is found to be reduced, and non-perturbative contributions remain small.

Paper Structure

This paper contains 6 sections, 48 equations, 2 figures.

Table of Contents

  1. Introduction
  2. Joint resummation at the next-to-leading logarithmic order
  3. Inverse transform and matching with the perturbative result
  4. Numerical results
  5. Conclusions
  6. Sfermion Mixing

Figures (2)

  • Figure 1: Transverse-momentum distribution for the process $p p \to \tilde{e}_R\, \tilde{e}_R^\ast$ at the LHC. NLL+LO matched (full), fixed order (dotted) and asymptotically expanded results are shown, together with three different parameterizations of non-perturbative effects (insert).
  • Figure 3: Invariant-mass distribution $M^3\,{\rm d}\sigma/{\rm d} M$ of $\tilde{e}_R$ pairs at the LHC. We show the total NLL+NLO jointly matched (full), as well as the fixed-order NLO SUSY-QCD (dashed) and LO QCD (dotted) results, with the corresponding scale uncertainties (vertically hashed, horizontally hashed, and shaded bands).