Abstract
We examine the impact of threshold resummation for the inclusive hadronic production cross section of gluino pairs at next-to-next-to-leading-logarithmic accuracy, compared to the exact next-to-leading-order cross section and the next-to-next-to-leading-order approximation. Here, we apply formulas derived recently in the classical Mellin-space formalism. Moreover, we give the analytic input for the alternative momentum-space formalism and discuss the crucial points of the numeric implementation. We find that soft resummation keeps the hadronic cross section close to the fixed next-to-leading-order result.
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ATLAS collaboration, Search for squarks and gluinos with the ATLAS detector in final states with jets and missing transverse momentum using 4.7 fb−1 of \( \sqrt{s}=7 \) TeV proton-proton collision data, Phys. Rev. D 87 (2013) 012008 [arXiv:1208.0949] [INSPIRE].
CMS collaboration, Inclusive search for supersymmetry using the razor variables in pp collisions at \( \sqrt{s}=7 \) TeV, arXiv:1212.6961 [INSPIRE].
W. Beenakker, R. Hopker, M. Spira and P. Zerwas, Squark and gluino production at hadron colliders, Nucl. Phys. B 492 (1997) 51 [hep-ph/9610490] [INSPIRE].
W. Beenakker, R. Hopker and M. Spira, PROSPINO: a program for the production of supersymmetric particles in next-to-leading order QCD, hep-ph/9611232 [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].
T. Becher and M. Neubert, Threshold resummation in momentum space from effective field theory, Phys. Rev. Lett. 97 (2006) 082001 [hep-ph/0605050] [INSPIRE].
T. Becher, M. Neubert and B.D. Pecjak, Factorization and momentum-space resummation in deep-inelastic scattering, JHEP 01 (2007) 076 [hep-ph/0607228] [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].
P. Falgari, C. Schwinn and C. Wever, NLL soft and Coulomb resummation for squark and gluino production at the LHC, JHEP 06 (2012) 052 [arXiv:1202.2260] [INSPIRE].
A. Kulesza and L. Motyka, Soft gluon resummation for the production of gluino-gluino and squark-antisquark pairs at the LHC, Phys. Rev. D 80 (2009) 095004 [arXiv:0905.4749] [INSPIRE].
W. Beenakker et al., Soft-gluon resummation for squark and gluino hadroproduction, JHEP 12 (2009)041 [arXiv:0909.4418] [INSPIRE].
U. Langenfeld, S.-O. Moch and T. Pfoh, QCD threshold corrections for gluino pair production at hadron colliders, JHEP 11 (2012) 070 [arXiv:1208.4281] [INSPIRE].
K. Hagiwara and H. Yokoya, Bound-state effects on gluino-pair production at hadron colliders, JHEP 10 (2009) 049 [arXiv:0909.3204] [INSPIRE].
M.R. Kauth, J.H. Kuhn, P. Marquard and M. Steinhauser, Gluino pair production at the LHC: the threshold, Nucl. Phys. B 857 (2012) 28 [arXiv:1108.0361] [INSPIRE].
P. Falgari, C. Schwinn and C. Wever, Finite-width effects on threshold corrections to squark and gluino production, JHEP 01 (2013) 085 [arXiv:1211.3408] [INSPIRE].
S. Catani and L. Trentadue, Comment on QCD exponentiation at large x, Nucl. Phys. B 353 (1991)183 [INSPIRE].
H. Contopanagos, E. Laenen and G.F. Sterman, Sudakov factorization and resummation, Nucl. Phys. B 484 (1997) 303 [hep-ph/9604313] [INSPIRE].
S. Catani, M.L. Mangano, P. Nason and L. Trentadue, The top cross-section in hadronic collisions, Phys. Lett. B 378 (1996) 329 [hep-ph/9602208] [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].
N. Kidonakis and G.F. Sterman, Resummation for QCD hard scattering, Nucl. Phys. B 505 (1997) 321 [hep-ph/9705234] [INSPIRE].
S. Moch, J. Vermaseren and A. Vogt, Higher-order corrections in threshold resummation, Nucl. Phys. B 726 (2005) 317 [hep-ph/0506288] [INSPIRE].
H. Kawamura, N. Lo Presti, S. Moch and A. Vogt, On the next-to-next-to-leading order QCD corrections to heavy-quark production in deep-inelastic scattering, Nucl. Phys. B 864 (2012) 399 [arXiv:1205.5727] [INSPIRE].
M. Beneke, M. Czakon, P. Falgari, A. Mitov and C. Schwinn, Threshold expansion of the \( gg\left( {q\overline{q}} \right)\to Q\overline{Q}+X \) cross section at \( O\left( {\alpha_s^4} \right) \), Phys. Lett. B 690 (2010) 483 [arXiv:0911.5166] [INSPIRE].
A. Czarnecki and K. Melnikov, Two loop QCD corrections to the heavy quark pair production cross-section in e+e− annihilation near the threshold, Phys. Rev. Lett. 80 (1998) 2531 [hep-ph/9712222] [INSPIRE].
M. Beneke, A. Signer and V.A. Smirnov, Top quark production near threshold and the top quark mass, Phys. Lett. B 454 (1999) 137 [hep-ph/9903260] [INSPIRE].
A. Czarnecki and K. Melnikov, Top quark threshold production at a γγ collider at next-to-next-to-leading order, Phys. Rev. D 65 (2002) 051501 [hep-ph/0108233] [INSPIRE].
A. Pineda and A. Signer, Heavy quark pair production near threshold with potential non-relativistic QCD, Nucl. Phys. B 762 (2007) 67 [hep-ph/0607239] [INSPIRE].
M. Beneke, P. Falgari, S. Klein and C. Schwinn, Hadronic top-quark pair production with NNLL threshold resummation, Nucl. Phys. B 855 (2012) 695 [arXiv:1109.1536] [INSPIRE].
T. Becher, M. Neubert and G. Xu, Dynamical threshold enhancement and resummation in Drell-Yan production, JHEP 07 (2008) 030 [arXiv:0710.0680] [INSPIRE].
S. Moch and P. Uwer, Theoretical status and prospects for top-quark pair production at hadron colliders, Phys. Rev. D 78 (2008) 034003 [arXiv:0804.1476] [INSPIRE].
T. Becher and M. Neubert, On the structure of infrared singularities of gauge-theory amplitudes, JHEP 06 (2009) 081 [arXiv:0903.1126] [INSPIRE].
M. Beneke, P. Falgari and C. Schwinn, Soft radiation in heavy-particle pair production: all-order colour structure and two-loop anomalous dimension, Nucl. Phys. B 828 (2010) 69 [arXiv:0907.1443] [INSPIRE].
M. Bonvini, S. Forte, M. Ghezzi and G. Ridolfi, The scale of soft resummation in SCET vs perturbative QCD, arXiv:1301.4502 [INSPIRE].
V.S. Fadin, V.A. Khoze and T. Sjöstrand, On the threshold behavior of heavy top production, Z. Phys. C 48 (1990) 613 [INSPIRE].
M. Beneke, Y. Kiyo and K. Schuller, Third-order Coulomb corrections to the S-wave Green function, energy levels and wave functions at the origin, Nucl. Phys. B 714 (2005) 67 [hep-ph/0501289] [INSPIRE].
R. Bonciani, S. Catani, M.L. Mangano and P. Nason, NLL resummation of the heavy quark hadroproduction cross-section, Nucl. Phys. B 529 (1998) 424 [Erratum ibid. B 803 (2008) 234] [hep-ph/9801375] [INSPIRE].
J. Blumlein, Analytic continuation of Mellin transforms up to two loop order, Comput. Phys. Commun. 133 (2000) 76 [hep-ph/0003100] [INSPIRE].
J. Blumlein and S. Kurth, Harmonic sums and Mellin transforms up to two loop order, Phys. Rev. D 60 (1999) 014018 [hep-ph/9810241] [INSPIRE].
P.M. Nadolsky et al., Implications of CTEQ global analysis for collider observables, Phys. Rev. D 78 (2008) 013004 [arXiv:0802.0007] [INSPIRE].
A. Martin, W. Stirling, R. Thorne and G. Watt, Parton distributions for the LHC, Eur. Phys. J. C 63 (2009) 189 [arXiv:0901.0002] [INSPIRE].
S. Alekhin, J. Blumlein and S. Moch, Parton distribution functions and benchmark cross sections at NNLO, Phys. Rev. D 86 (2012) 054009 [arXiv:1202.2281] [INSPIRE].
M. Whalley, D. Bourilkov and R. Group, The Les Houches accord PDFs (LHAPDF) and LHAGLUE, hep-ph/0508110 [INSPIRE].
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Pfoh, T. Phenomenology of QCD threshold resummation for gluino pair production at NNLL. J. High Energ. Phys. 2013, 44 (2013). https://doi.org/10.1007/JHEP05(2013)044
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DOI: https://doi.org/10.1007/JHEP05(2013)044