Quark and gluon spin-2 form factors to two-loops in QCD

Abstract

We present complete two-loop radiative corrections to the graviton-quark-antiquark form factor G^* \rightarrow q \overline q and graviton-gluon-gluon form factor G^* \rightarrow g g in SU(N) gauge theory with n_f light flavours using d-dimensional regularisation to all orders in \varepsilon=d-4. This is an important ingredient to next-to-next-to-leading order QCD corrections to hadronic scattering processes in models with large extra-dimensions where Kaluza-Klein graviton modes couple to Standard Model fields. We show that these form factors obey Sudakov integro-differential equation and the resulting cusp, collinear and soft anomalous dimensions coincide with those of electroweak vector boson and gluon form factors. We also find the universal behaviour of the infrared singularities in accordance with the proposal by Catani.

14 pages, LaTeX; references added, version to appear in JHEP

References in corpus (8)

• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• Presenting LiteRed: a tool for the Loop InTEgrals REDuction
• Diphoton signals in theories with large extra dimensions to NLO QCD at hadron colliders
• PDF and scale uncertainties of various DY distributions in ADD and RS models at hadron colliders
• Search for large extra dimensions in dimuon and dielectron events in pp collisions at sqrt(s) = 7 TeV
• $W^{+}{W}^{-}$ production in Large extra dimension model at next-to-leading order in QCD at the LHC
• Drell-Yan, ZZ, W+W- production in SM & ADD model to NLO+PS accuracy at the LHC
• Next-to-Next-to-Leading Order QCD Corrections in Models of TeV-Scale Gravity

Cited by in corpus (13)

• On next to soft corrections to Drell-Yan and Higgs Boson productions
• RS resonance in di-final state production at the LHC to NLO+PS accuracy
• Two loop QCD corrections for the process Pseudo-scalar Higgs $\to 3$ partons
• Resummed inclusive cross-section in Randall-Sundrum model at NNLO+NNLL
• NNLO QCD Corrections to the Drell-Yan Cross Section in Models of TeV-Scale Gravity
• Next-to-Next-to-Leading Order QCD Corrections in Models of TeV-Scale Gravity
• Three loop form factors of a massive spin-2 particle with nonuniversal coupling
• Two-Loop QCD Correction to massive spin-2 resonance $\to$ 3 gluons
• Resummed inclusive cross-section in ADD model at N${}^3$LL+NNLO
• NNLO QCD corrections to production of a spin-2 particle with non-universal couplings in the DY process
• Spin-2 Form Factors at Three Loop in QCD
• Two-loop QCD Correction to Massive Spin-2 Resonance $\to q\bar{q}g$
• Infrared Anomalous Dimensions at Three-Loop in the SM from Conserved Currents