Abstract
If the minimal supersymmetric standard model at scales of around 1 TeV is realized in nature, the total top-squark pair production cross section should be measurable at the CERN Large Hadron Collider. In this work we present precise predictions for this observable, which are based upon approximate NNLO formulas obtained using soft-collinear effective theory methods.
Highlights
If the minimal supersymmetric standard model at scales of around 1 TeV is realized in nature, the total top-squark pair production cross section should be measurable at the CERN Large Hadron Collider
In this work we present precise predictions for this observable, which are based upon approximate next-to-next-to-leading order (NNLO) formulas obtained using softcollinear effective theory methods
A similar approach was developed independently in [18], where methods of soft-collinear effective theory (SCET) and non-relativistic QCD were used to resum simultaneously the effects of soft and Coulomb gluons. This method was applied to squark and gluino pair production [18, 19], where soft and Coulomb-gluon contributions were resummed at NLL order, and to top-quark pair production [20], where resummation up to next-to-next-to-leading logarithmic (NNLL) order was implemented
Summary
Where N1 and N2 indicate the incoming protons in the case of a proton-proton collider as the LHC, while X is an inclusive hadronic final state. Our goal is to employ both PIM and 1PI kinematics to obtain approximate NNLO formulas for the total top-squark pair production cross section Both approaches include the numerically large contributions arising from the emission of soft gluons. In the case of 1PI kinematics, the hard-scattering kernels in the soft-emission limit s4 → 0 factor into a product of hard and soft functions, in analogy with eq (2.12): Cij(s4, s , t1, u1, μ) = Tr Hij(s , t1, u1, μ)Sij(s4, s , t1, u1, μ) + O(s4). The soft functions are different in the PIM and 1PI schemes, but in both cases they are identical to the ones employed in the calculation of the top-quark pair production cross sections in [21, 22].
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