Abstract
Spin-2 fields are often candidates in physics beyond the Standard Model namely the models with extra-dimensions where spin-2 Kaluza-Klein gravitons couple to the fields of the SM. Also, in the context of Higgs searches, spin-2 fields have been studied as an alternative to the scalar Higgs boson. In this article, we present the complete three loop QCD radiative corrections to the spin-2 quark-antiquark and spin-2 gluon-gluon form factors in SU(N) gauge theory with $n_f$ light flavors. These form factors contribute to both quark-antiquark and gluon-gluon initiated processes involving spin-2 particle in the hadronic reactions at the LHC. We have studied the structure of infrared singularities in these form factors up to three loop level using Sudakov integro-differential equation and found that the anomalous dimensions originating from soft and collinear regions of the loop integrals coincide with those of the electroweak vector boson and Higgs form factors confirming the universality of the infrared singularities in QCD amplitudes.
Highlights
The effective lagrangianThe effective Lagrangian that describes the interaction of the spin-2 field with the SM fields can be written down in a gauge invariant way through the energy momentum tensor of the SM fields
Factors are essential ingredients for many precision calculation in QCD
Similar to cusp anomalous dimensions, we find that fiT,I satisfy the property of maximally non-abelian and in addition they coincide with those that appear in the quark and gluon form factors which are available up to three-loop level in the literature [72], fiT,g fiT,q and fiT,I = fiI
Summary
The effective Lagrangian that describes the interaction of the spin-2 field with the SM fields can be written down in a gauge invariant way through the energy momentum tensor of the SM fields. We denote the spin-2 field by hμν and the SM energy momentum tensor by TμSνM. Since we are interested only in the QCD corrections to processes involving spin-2 fields, we restrict ourselves to the QCD part of TμSνM and the corresponding action reads [4,5,6,7] as κ S = SSM + Sh − 2. Where SSM is the SM action, Sh is the kinetic energy part of the action corresponding to spin-2 fields, κ is a dimensionful coupling and TμQνCD is the energy momentum tensor of QCD given by TμQνCD. Note that spin-2 fields couple to ghost fields (ωa) [51] as well in order to cancel unphysical degrees of freedom of gluon fields (Aaμ)
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