125 research outputs found
Small- phenomenology at the LHC and beyond: HELL 3.0 and the case of the Higgs cross section
Small- resummation has been proven recently to be a crucial ingredient for
describing small- HERA data, and the inclusion of small- resummation in
parton distribution function (PDF) determination has a sizeable effect on the
PDFs even at the electroweak scale. In this work we explore the implications of
small- resummation at the Large Hadron Collider (LHC) and at a Future
Circular Collider (FCC). We construct the theoretical machinery for resumming
physical inclusive observables at hadron colliders, and describe its
implementation in the public code HELL 3.0. We focus on Higgs production in
gluon fusion as a prototypical example, both because it is sensitive to
small- gluons and because of its importance for the LHC physics programme.
We find that adding small- resummation to the NLO Higgs production cross
section can lead to an increase of up to 10% at FCC, while the effect is
smaller (+1%) at LHC but still important to achieve a high level of precision.Comment: 42 pages, 8 figures. Added new Fig 6 and some discussions. Final
version published in EPJ
Towards small- resummed parton distribution functions
We present preliminary results for fits of parton distribution functions
(PDFs) which include the resummation of small- logarithms at NLLx accuracy,
performed in the NNPDF framework. We observe an improvement in the description
of DIS data at small values of Bjorken when resummation effects are
included. The improvement is more marked when comparing NNLO+NLLx fits to NNLO
ones, and is particularly noticeable for small- and small- HERA
inclusive structure functions. The main effect of the resummation is an
enhancement of the gluon and singlet PDFs at small-, which persists at high
scales.Comment: 6 pages, 2 figures. To appear in the proceedings of the XXV
International Workshop on Deep-Inelastic Scattering and Related Subjects, 3-7
April 2017, University of Birmingham, U
The threshold region for Higgs production in gluon fusion
We provide a quantitative determination of the effective partonic kinematics
for Higgs production in gluon fusion in terms of the collider energy at the
LHC. We use the result to assess, as a function of the Higgs mass, whether the
large top mass approximation is adequate and whether Sudakov resummation is
advantageous. We argue that our results hold to all perturbative orders. Based
on it, we conclude that the full inclusion of finite top mass corrections is
likely to be important for accurate phenomenology for a light Higgs with m_H ~
125 GeV at the LHC with sqrt{s} = 14 TeV.Comment: 5 pages, 3 figures. Refs 9 and 15 added, several small textual
improvements. Final version, to be published in Physical Review Letter
Small- resummation from HELL
Small- logarithmic enhancements arising from high-energy gluon emissions
affect both the evolution of collinearly-factorized parton densities and
partonic coefficient functions. With the higher collider energy reached by the
LHC, the prospect of a future high-energy collider, and the recent
deep-inelastic scattering (DIS) results at small- from HERA, providing
phenomenological tools for performing small- resummation has become of great
relevance. In this paper we discuss a framework to perform small-
resummation for both parton evolution and partonic coefficient functions and we
describe its implementation in a computer code named High-Energy Large
Logarithms (HELL). We present resummed and matched results for the DGLAP
splitting functions and, as a proof of principle, for the massless structure
functions in DIS.Comment: Version accepted by EPJ C. 26 pages, 7 figures. Section 2.4 largely
re-written. Added estimate of theoretical uncertainty and comparison to CCS
Resummation prescriptions and ambiguities in SCET vs. direct QCD: Higgs production as a case study
We perform a comparison of soft-gluon resummation in SCET vs. direct QCD
(dQCD), using Higgs boson production in gluon fusion as a case study, with the
goal of tracing the quantitative impact of each source of difference between
the two approaches. We show that saddle-point methods enable a direct
quantitative comparison despite the fact that the scale which is resummed in
the two approaches is not the same. As a byproduct, we put in one-to-one
analytic correspondence various features of either approach: specifically, we
show how the SCET method for treating the Landau pole can be implemented in
dQCD, and how the resummation of the optimal partonic scale of dQCD can be
implemented in SCET. We conclude that the main quantitative difference comes
from power-suppressed subleading contributions, which could in fact be freely
tuned in either approach, and not really characteristic of either. This
conclusion holds for Higgs production in gluon fusion, but it is in fact
generic for processes with similar kinematics. For Higgs production, everything
else being equal, SCET resummation at NNLL in the Becher-Neubert implementation
leads to essentially no enhancement of the NNLO cross-section, unlike dQCD in
the standard implementation of Catani et al..Comment: 21 pages, 4 figures; final version, to be published in JHEP. Eq. 2.39
and subsequent discussion added, fig.1 and corresponding discussion added,
discussion on sqrt{z} prefactor added on pag.1
On the Higgs cross section at NLO+NLL and its uncertainty
We consider the inclusive production of a Higgs boson in gluon-fusion and we
study the impact of threshold resummation at next-to-next-to-next-to-leading
logarithmic accuracy (NLL) on the recently computed fixed-order prediction
at next-to-next-to-next-to-leading order (NLO). We propose a conservative,
yet robust way of estimating the perturbative uncertainty from missing higher
(fixed- or logarithmic-) orders. We compare our results with two other
different methods of estimating the uncertainty from missing higher orders: the
Cacciari-Houdeau Bayesian approach to theory errors, and the use of algorithms
to accelerate the convergence of the perturbative series. We confirm that the
best convergence happens at , and we conclude that a
reliable estimate of the uncertainty from missing higher orders on the Higgs
cross section at 13 TeV is approximately %.Comment: 27 pages, 6 figures. Version to be published in JHE
Resummation and Matching of -quark Mass Effects in Production
We use a systematic effective field theory setup to derive the
production cross section. Our result combines the merits of both fixed 4-flavor
and 5-flavor schemes. It contains the full 4-flavor result, including the exact
dependence on the -quark mass, and improves it with a resummation of
collinear logarithms of . In the massless limit, it corresponds to a
reorganized 5-flavor result. While we focus on production, our
method applies to generic heavy-quark initiated processes at hadron colliders.
Our setup resembles the variable flavor number schemes known from heavy-flavor
production in deep-inelastic scattering, but also differs in some key aspects.
Most importantly, the effective -quark PDF appears as part of the
perturbative expansion of the final result where it effectively counts as an
object. The transition between the fixed-order (4-flavor) and
resummation (5-flavor) regimes is governed by the low matching scale at which
the -quark is integrated out. Varying this scale provides a systematic way
to assess the perturbative uncertainties associated with the resummation and
matching procedure and reduces by going to higher orders. We discuss the
practical implementation and present numerical results for the
production cross section at NLO+NLL. We also provide a comparison to the
corresponding predictions in the fixed 4-flavor and 5-flavor results and the
Santander matching prescription. Compared to the latter, we find a slightly
reduced uncertainty and a larger central value, with its central value lying at
the lower edge of our uncertainty band.Comment: 54 pages, 16 figures. Final version to be published in JHEP (one ref
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