Abstract
We present a calculation of slepton pair production at the LHC at next-to-next- to-leading logarithmic (NNLL) accuracy, matched to approximate next-to-next-to-leading order (aNNLO) QCD corrections. We collect the relevant analytical formulae, discuss the matching of logarithmically enhanced and fixed-order results and describe the transformation of parton densities and hadronic cross sections to and from Mellin space. Numerically, we find a moderate increase of invariant-mass distributions and total cross sections with respect to our previous results at next-to-leading logarithmic (NLL) accuracy matched to next-to-leading order (NLO), and more importantly a further significant reduction of the factorisation and renormalisation scale dependence that stabilises our predictions to the permil level. The dependence on other supersymmetric parameters like squark and gluino masses and sbottom mixing that enter only at NLO is found to be weak, i.e. less than two percent, as expected.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
H.P. Nilles, Supersymmetry, Supergravity and Particle Physics, Phys. Rept.110 (1984) 1 [INSPIRE].
H.E. Haber and G.L. Kane, The Search for Supersymmetry: Probing Physics Beyond the Standard Model, Phys. Rept.117 (1985) 75 [INSPIRE].
J.A. Aguilar-Saavedra et al., Supersymmetry parameter analysis: SPA convention and project, Eur. Phys. J.C 46 (2006) 43 [hep-ph/0511344] [INSPIRE].
ATLAS collaboration, Search for squarks and gluinos in final states with jets and missing transverse momentum using 139 fb−1of \( \sqrt{s} \) = 13 TeV pp collision data with the ATLAS detector, ATLAS-CONF-2019-040 (2019).
CMS collaboration, Search for supersymmetry in proton-proton collisions at 13 TeV in final states with jets and missing transverse momentum, JHEP10 (2019) 244 [arXiv:1908.04722] [INSPIRE].
ATLAS collaboration, Search for electroweak production of charginos and sleptons decaying into final states with two leptons and missing transverse momentum in \( \sqrt{s} \) = 13 TeV pp collisions using the ATLAS detector, Eur. Phys. J.C 80 (2020) 123 [arXiv:1908.08215] [INSPIRE].
CMS collaboration, Search for supersymmetric partners of electrons and muons in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, Phys. Lett.B 790 (2019) 140 [arXiv:1806.05264] [INSPIRE].
ATLAS collaboration, Search for direct stau production in events with two hadronic tau leptons in \( \sqrt{s} \) = 13 TeV pp collisions with the ATLAS detector, ATLAS-CONF-2019-018 (2019).
CMS collaboration, Search for supersymmetry with a compressed mass spectrum in events with a soft τ lepton, a highly energetic jet and large missing transverse momentum in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, Phys. Rev. Lett.124 (2020) 041803 [arXiv:1910.01185] [INSPIRE].
S. Dawson, E. Eichten and C. Quigg, Search for Supersymmetric Particles in Hadron — Hadron Collisions, Phys. Rev.D 31 (1985) 1581 [INSPIRE].
G. Bozzi, B. Fuks and M. Klasen, Slepton production in polarized hadron collisions, Phys. Lett.B 609 (2005) 339 [hep-ph/0411318] [INSPIRE].
H. Baer, B.W. Harris and M.H. Reno, Next-to-leading order slepton pair production at hadron colliders, Phys. Rev.D 57 (1998) 5871 [hep-ph/9712315] [INSPIRE].
W. Beenakker, M. Klasen, M. Krämer, T. Plehn, M. Spira and P.M. Zerwas, The production of charginos/neutralinos and sleptons at hadron colliders, Phys. Rev. Lett.83 (1999) 3780 [Erratum ibid.100 (2008) 029901] [hep-ph/9906298] [INSPIRE].
G. Bozzi, B. Fuks and M. Klasen, Transverse-momentum resummation for slepton-pair production at the CERN LHC, Phys. Rev.D 74 (2006) 015001 [hep-ph/0603074] [INSPIRE].
G. Bozzi, B. Fuks and M. Klasen, Threshold Resummation for Slepton-Pair Production at Hadron Colliders, Nucl. Phys.B 777 (2007) 157 [hep-ph/0701202] [INSPIRE].
B. Fuks, M. Klasen, D.R. Lamprea and M. Rothering, Revisiting slepton pair production at the Large Hadron Collider, JHEP01 (2014) 168 [arXiv:1310.2621] [INSPIRE].
G. Bozzi, B. Fuks and M. Klasen, Joint resummation for slepton pair production at hadron colliders, Nucl. Phys.B 794 (2008) 46 [arXiv:0709.3057] [INSPIRE].
M. Bonvini et al., Parton distributions with threshold resummation, JHEP09 (2015) 191 [arXiv:1507.01006] [INSPIRE].
J. Fiaschi and M. Klasen, Slepton pair production at the LHC in NLO+NLL with resummation-improved parton densities, JHEP03 (2018) 094 [arXiv:1801.10357] [INSPIRE].
J. Fiaschi and M. Klasen, Electroweakino and slepton pair production at the LHC in NLO+NLL with resummation-improved PDFs, in 2019 European Physical Society Conference on High Energy Physics (EPS-HEP2019) Ghent, Belgium, July 10–17, 2019, arXiv:1909.05652 [INSPIRE].
J. Debove, B. Fuks and M. Klasen, Transverse-momentum resummation for gaugino-pair production at hadron colliders, Phys. Lett.B 688 (2010) 208 [arXiv:0907.1105] [INSPIRE].
J. Debove, B. Fuks and M. Klasen, Threshold resummation for gaugino pair production at hadron colliders, Nucl. Phys.B 842 (2011) 51 [arXiv:1005.2909] [INSPIRE].
J. Debove, B. Fuks and M. Klasen, Joint Resummation for Gaugino Pair Production at Hadron Colliders, Nucl. Phys.B 849 (2011) 64 [arXiv:1102.4422] [INSPIRE].
B. Fuks, M. Klasen, D.R. Lamprea and M. Rothering, Gaugino production in proton-proton collisions at a center-of-mass energy of 8 TeV, JHEP10 (2012) 081 [arXiv:1207.2159] [INSPIRE].
B. Fuks, M. Klasen, D.R. Lamprea and M. Rothering, Precision predictions for direct gaugino and slepton production at the LHC, Nucl. Part. Phys. Proc.273-275 (2016) 479 [arXiv:1407.7963] [INSPIRE].
J. Fiaschi and M. Klasen, Neutralino-chargino pair production at NLO+NLL with resummation-improved parton density functions for LHC Run II, Phys. Rev.D 98 (2018) 055014 [arXiv:1805.11322] [INSPIRE].
B. Fuks, M. Klasen and M. Rothering, Soft gluon resummation for associated gluino-gaugino production at the LHC, JHEP07 (2016) 053 [arXiv:1604.01023] [INSPIRE].
M. Klasen, B. Fuks and M. Sunder, Precision predictions for associated gluino-gaugino production at the LHC, PoS(EPS-HEP2017)298 [arXiv:1709.02680] [INSPIRE].
B. Fuks, M. Klasen, S. Schmiemann and M. Sunder, Realistic simplified gaugino-higgsino models in the MSSM, Eur. Phys. J.C 78 (2018) 209 [arXiv:1710.09941] [INSPIRE].
B. Fuks, M. Klasen, F. Ledroit, Q. Li and J. Morel, Precision predictions for Z′ -production at the CERN LHC: QCD matrix elements, parton showers and joint resummation, Nucl. Phys.B 797 (2008) 322 [arXiv:0711.0749] [INSPIRE].
T. Jezo, M. Klasen, D.R. Lamprea, F. Lyonnet and I. Schienbein, NLO+NLL limits on W′ and Z′ gauge boson masses in general extensions of the Standard Model, JHEP12 (2014) 092 [arXiv:1410.4692] [INSPIRE].
T. Jezo, M. Klasen, D. Lamprea, F. Lyonnet and I. Schienbein, NLO+NLL limits on W’ and Z’ gauge boson masses in general extensions of the Standard Model, PoS(DIS2015)112.
M. Klasen, F. Lyonnet and F.S. Queiroz, NLO+NLL collider bounds, Dirac fermion and scalar dark matter in the B-L model, Eur. Phys. J.C 77 (2017) 348 [arXiv:1607.06468] [INSPIRE].
B. Fuks, M. Klasen, D.R. Lamprea and M. Rothering, Precision predictions for electroweak superpartner production at hadron colliders with Resummino, Eur. Phys. J.C 73 (2013) 2480 [arXiv:1304.0790] [INSPIRE].
ATLAS collaboration, Search for direct production of electroweakinos in final states with one lepton, missing transverse momentum and a Higgs boson decaying into two b-jets in (pp) collisions at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, arXiv:1909.09226 [INSPIRE].
CMS collaboration, Search for new physics in events with two soft oppositely charged leptons and missing transverse momentum in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, Phys. Lett.B 782 (2018) 440 [arXiv:1801.01846] [INSPIRE].
X. Cid Vidal et al., Report from Working Group 3, CERN Yellow Rep. Monogr.7 (2019) 585 [arXiv:1812.07831] [INSPIRE].
A. Vogt, Next-to-next-to-leading logarithmic threshold resummation for deep inelastic scattering and the Drell-Yan process, Phys. Lett.B 497 (2001) 228 [hep-ph/0010146] [INSPIRE].
N. Kidonakis, A unified approach to NNLO soft and virtual corrections in electroweak, Higgs, QCD and SUSY processes, Int. J. Mod. Phys.A 19 (2004) 1793 [hep-ph/0303186] [INSPIRE].
N. Kidonakis, Collinear and soft gluon corrections to Higgs production at NNNLO, Phys. Rev.D 77 (2008) 053008 [arXiv:0711.0142] [INSPIRE].
W. Beenakker, R. Hopker, M. Spira and P.M. Zerwas, Squark and gluino production at hadron colliders, Nucl. Phys.B 492 (1997) 51 [hep-ph/9610490] [INSPIRE].
W. Beenakker, M. Krämer, T. Plehn, M. Spira and P.M. Zerwas, Stop production at hadron colliders, Nucl. Phys.B 515 (1998) 3 [hep-ph/9710451] [INSPIRE].
W. Beenakker et al., NNLL resummation for squark and gluino production at the LHC, JHEP12 (2014) 023 [arXiv:1404.3134] [INSPIRE].
W. Beenakker, C. Borschensky, R. Heger, M. Krämer, A. Kulesza and E. Laenen, NNLL resummation for stop pair-production at the LHC, JHEP05 (2016) 153 [arXiv:1601.02954] [INSPIRE].
W. Beenakker, C. Borschensky, M. Krämer, A. Kulesza and E. Laenen, NNLL-fast: predictions for coloured supersymmetric particle production at the LHC with threshold and Coulomb resummation, JHEP12 (2016) 133 [arXiv:1607.07741] [INSPIRE].
A. Broggio, M. Neubert and L. Vernazza, Soft-gluon resummation for slepton-pair production at hadron colliders, JHEP05 (2012) 151 [arXiv:1111.6624] [INSPIRE].
M. Beneke, P. Falgari and C. Schwinn, Threshold resummation for pair production of coloured heavy (s)particles at hadron colliders, Nucl. Phys.B 842 (2011) 414 [arXiv:1007.5414] [INSPIRE].
M. Beneke, J. Piclum, C. Schwinn and C. Wever, NNLL soft and Coulomb resummation for squark and gluino production at the LHC, JHEP10 (2016) 054 [arXiv:1607.07574] [INSPIRE].
A. Broggio, A. Ferroglia, M. Neubert, L. Vernazza and L.L. Yang, Approximate NNLO Predictions for the Stop-Pair Production Cross Section at the LHC, JHEP07 (2013) 042 [arXiv:1304.2411] [INSPIRE].
A. Broggio, A. Ferroglia, M. Neubert, L. Vernazza and L.L. Yang, NNLL Momentum-Space Resummation for Stop-Pair Production at the LHC, JHEP03 (2014) 066 [arXiv:1312.4540] [INSPIRE].
G.F. Sterman, Summation of Large Corrections to Short Distance Hadronic Cross-Sections, Nucl. Phys.B 281 (1987) 310 [INSPIRE].
S. Catani and L. Trentadue, Resummation of the QCD Perturbative Series for Hard Processes, Nucl. Phys.B 327 (1989) 323 [INSPIRE].
O.V. Tarasov, A.A. Vladimirov and A.Yu. Zharkov, The Gell-Mann-Low Function of QCD in the Three Loop Approximation, Phys. Lett.93B (1980) 429 [INSPIRE].
S.A. Larin and J.A.M. Vermaseren, The three loop QCD β-function and anomalous dimensions, Phys. Lett.B 303 (1993) 334 [hep-ph/9302208] [INSPIRE].
S. Moch, J.A.M. Vermaseren and A. Vogt, Higher-order corrections in threshold resummation, Nucl. Phys.B 726 (2005) 317 [hep-ph/0506288] [INSPIRE].
M. Krämer, E. Laenen and M. Spira, Soft gluon radiation in Higgs boson production at the LHC, Nucl. Phys.B 511 (1998) 523 [hep-ph/9611272] [INSPIRE].
S. Catani, D. de Florian and M. Grazzini, Higgs production in hadron collisions: Soft and virtual QCD corrections at NNLO, JHEP05 (2001) 025 [hep-ph/0102227] [INSPIRE].
S. Catani, D. de Florian, M. Grazzini and P. Nason, Soft gluon resummation for Higgs boson production at hadron colliders, JHEP07 (2003) 028 [hep-ph/0306211] [INSPIRE].
M. Beneke et al., Leading-logarithmic threshold resummation of the Drell-Yan process at next-to-leading power, JHEP03 (2019) 043 [arXiv:1809.10631] [INSPIRE].
M. Beneke, A. Broggio, S. Jaskiewicz and L. Vernazza, Threshold factorization of the Drell-Yan process at next-to-leading power, arXiv:1912.01585 [INSPIRE].
M. Beneke, M. Garny, S. Jaskiewicz, R. Szafron, L. Vernazza and J. Wang, Leading-logarithmic threshold resummation of Higgs production in gluon fusion at next-to-leading power, JHEP01 (2020) 094 [arXiv:1910.12685] [INSPIRE].
N. Bahjat-Abbas et al., Diagrammatic resummation of leading-logarithmic threshold effects at next-to-leading power, JHEP11 (2019) 002 [arXiv:1905.13710] [INSPIRE].
T.O. Eynck, E. Laenen and L. Magnea, Exponentiation of the Drell-Yan cross-section near partonic threshold in the DIS and MS-bar schemes, JHEP06 (2003) 057 [hep-ph/0305179] [INSPIRE].
C. Duhr, F. Dulat and B. Mistlberger, The Drell-Yan cross section to third order in the strong coupling constant, arXiv:2001.07717 [INSPIRE].
A.A. H., G. Das, M.C. Kumar, P. Mukherjee, V. Ravindran and K. Samanta, Resummed Drell-Yan cross-section at N3LL, arXiv:2001.11377 [INSPIRE].
H. Contopanagos and G.F. Sterman, Principal value resummation, Nucl. Phys.B 419 (1994) 77 [hep-ph/9310313] [INSPIRE].
S. Catani, M.L. Mangano, P. Nason and L. Trentadue, The resummation of soft gluons in hadronic collisions, Nucl. Phys.B 478 (1996) 273 [hep-ph/9604351] [INSPIRE].
A.D. Martin, W.J. Stirling, R.S. Thorne and G. Watt, Parton distributions for the LHC, Eur. Phys. J.C 63 (2009) 189 [arXiv:0901.0002] [INSPIRE].
S. Dulat et al., New parton distribution functions from a global analysis of quantum chromodynamics, Phys. Rev.D 93 (2016) 033006 [arXiv:1506.07443] [INSPIRE].
J. Harz, B. Herrmann, M. Klasen, K. Kovǎŕık and P. Steppeler, Theoretical uncertainty of the supersymmetric dark matter relic density from scheme and scale variations, Phys. Rev.D 93 (2016) 114023 [arXiv:1602.08103] [INSPIRE].
J. Branahl, J. Harz, B. Herrmann, M. Klasen, K. Kovǎŕık and S. Schmiemann, SUSY-QCD corrected and Sommerfeld enhanced stau annihilation into heavy quarks with scheme and scale uncertainties, Phys. Rev.D 100 (2019) 115003 [arXiv:1909.09527] [INSPIRE].
M. Klasen and G. Kramer, Large transverse momentum jet production and DIS distributions of the proton, Phys. Lett.B 386 (1996) 384 [hep-ph/9605210] [INSPIRE].
M. Klasen and G. Kramer, Factorization scheme and scale dependence in diffractive dijet production at low Q2 , J. Phys.G 31 (2005) 1391 [hep-ph/0506121] [INSPIRE].
MSSM Working Group collaboration, The minimal supersymmetric standard model: Group summary report, in GDR (Groupement De Recherche) — Supersymetrie, Montpellier, France, April 15–17, 1998, 1998, hep-ph/9901246 [INSPIRE].
A. Djouadi, J.-L. Kneur and G. Moultaka, SuSpect: A Fortran code for the supersymmetric and Higgs particle spectrum in the MSSM, Comput. Phys. Commun.176 (2007) 426 [hep-ph/0211331] [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1911.02419
Rights and permissions
This article is published under an open access license. Please check the 'Copyright Information' section either on this page or in the PDF for details of this license and what re-use is permitted. If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and re-use information, please contact the Rights and Permissions team.
About this article
Cite this article
Fiaschi, J., Klasen, M. & Sunder, M. Slepton pair production with aNNLO+NNLL precision. J. High Energ. Phys. 2020, 49 (2020). https://doi.org/10.1007/JHEP04(2020)049
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP04(2020)049