Abstract
We present a framework for qT resummation at N3LL+NNLO accuracy for arbitrary color-singlet processes based on a factorization theorem in SCET. Our implementation CuTe-MCFM is fully differential in the Born kinematics and matches to large-qT fixed-order predictions at relative order {alpha}_s^2 . It provides an efficient way to estimate uncertainties from fixed-order truncation, resummation, and parton distribution functions. In addition to W±, Z and H production, also the diboson processes γγ, Zγ, ZH and W±H are available, including decays. We discuss and exemplify the framework with several direct comparisons to experimental measurements as well as inclusive benchmark results. In particular, we present novel results for γγ and Zγ at N3LL+NNLO and discuss in detail the power corrections induced by photon isolation requirements.
Highlights
Structure of the SM, as was pointed out a long time ago [13, 14]
We present a framework for qT resummation at N3LL+NNLO accuracy for arbitrary color-singlet processes based on a factorization theorem in SCET
In this paper we address this issue by combining the fixed-order color-singlet NNLO processes in MCFM [19,20,21,22] with the SCETbased qT resummation at N3LL introduced in refs. [23,24,25,26]
Summary
Having discussed the effect of photon isolation on power-suppressed corrections at small qT , we should mention that photon isolation leads to logarithmically enhanced contributions at large transverse momentum, since there is a region of phase space, where the radiation is restricted by the isolation requirement This is a typical situation in which non-global logarithms arise [91] and their numerical effect in photon-production cross sections was studied in ref. For processes with photons we can check the fixed-order result and our framework by testing that power corrections due to smooth-cone photon isolation scale as (qT /Q)1/n, where n > 0 is given as a parameter in the isolation prescription [86] This asymptotic behavior sets in sufficiently below the photon isolation cone energy ETγ,max, which is typically just a few GeV. Our results agree with CuTe at N3LL within the choices available in CuTe for the expansion of the improved power counting scheme, see the following section
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