A general method for the resummation of event-shape distributions in e^+e^- annihilation

Banfi, Andrea; McAslan, Heather; Monni, Pier Francesco; Zanderighi, Giulia

doi:10.48550/arxiv.1412.2126

Cited by 46 publications

(121 citation statements)

References 61 publications

(106 reference statements)

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“…Very recently, a different approach using the coherent branching formalism of refs. [25,26] has been proposed in ref. [24], which is not based on a factorization theorem or solving the q T evolution equations.…”

Section: Coherent Branching Formalismmentioning

confidence: 99%

See 1 more Smart Citation

Resummation of transverse momentum distributions in distribution space

Ebert

Tackmann

2017

J. High Energ. Phys.

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Differential spectra in observables that resolve additional soft or collinear QCD emissions exhibit Sudakov double logarithms in the form of logarithmic plus distributions. Important examples are the total transverse momentum q T in color-singlet production, N -jettiness (with thrust or beam thrust as special cases), but also jet mass and more complicated jet substructure observables. The all-order logarithmic structure of such distributions is often fully encoded in differential equations, so-called (renormalization group) evolution equations. We introduce a well-defined technique of distributional scale setting, which allows one to treat logarithmic plus distributions like ordinary logarithms when solving these differential equations. In particular, this allows one (through canonical scale choices) to minimize logarithmic contributions in the boundary terms of the solution, and to obtain the full distributional logarithmic structure from the solution's evolution kernel directly in distribution space. We apply this technique to the q T distribution, where the two-dimensional nature of convolutions leads to additional difficulties (compared to one-dimensional cases like thrust), and for which the resummation in distribution (or momentum) space has been a long-standing open question. For the first time, we show how to perform the RG evolution fully in momentum space, thereby directly resumming the logarithms [ln n (q 2 T /Q 2 )/q 2 T ] + appearing in the physical q T distribution. The resummation accuracy is then solely determined by the perturbative expansion of the associated anomalous dimensions.

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Section: Coherent Branching Formalismmentioning

confidence: 99%

“…Recently, ref. [24] obtained the resummation in momentum space based on the coherent branching formalism [25,26] rather than solving the evolution equations associated with a factorization theorem. They showed that the spurious divergences are avoided by expanding around the transverse momentum of the hardest emission instead of q T .…”

Section: Introductionmentioning

confidence: 99%

Resummation of transverse momentum distributions in distribution space

Ebert

Tackmann

2017

J. High Energ. Phys.

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“…e.g. [91][92][93][94] for the combination of fixed-order and resummed predictions for event shapes in e + e − annihilation. As a consequence, we therefore impose a small cut-off y 0 = 10 −5 on all linear distributions and y 0 = e −10 on logarithmically binned distributions in practice.…”

Section: Numerical Set-up and Scale-variation Prescriptionmentioning

confidence: 99%

QCD Predictions for Event-Shape Distributions in Hadronic Higgs Decays

Coloretti,

Ridder,

Preuss

2022

Preprint

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We study the six classical event-shape observables in hadronic Higgs decays at next-to-leading order in QCD. To this end, we consider the decay of on-shell Higgs bosons to three partons, taking into account both the Yukawa-induced decay to b-quark pairs and the loop-induced decay to two gluons via an effective Higgs-gluon coupling. The results are discussed with a particular focus on the discriminative power of event shapes regarding these two classes of processes.

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“…Fig. 2 concentrates on a medium-p T,jet bin, p T,jet ∈ [120,150] GeV, for both the Z+jet and the central dijet selection and Fig. 3 shows the corresponding results for the highest p T,jet interval, p T,jet ∈ [1000, 4000] GeV.…”

Section: Transfer Matrices For Jet-angularity Observablesmentioning

confidence: 99%

“…4. We select jets with R = 0.8 and p T,jet ∈ [120,150] GeV in central dijet events and measure the jet width, λ 1 1 , either on ungroomed jets (left plot) or on groomed jets (right plot). At hadron level, the jet width is measured on charged particles only.…”

Section: Transfer Matrices For Jet-angularity Observablesmentioning

confidence: 99%

Phenomenology of jet angularities at the LHC

Reichelt,

Caletti,

Fedkevych

et al. 2021

Preprint

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We compute resummed and matched predictions for jet angularities in hadronic dijet and Z+jet events with and without grooming the candidate jets using the SoftDrop technique. Our theoretical predictions also account for nonperturbative corrections from the underlying event and hadronisation through parton-to-hadron level transfer matrices extracted from dedicated Monte Carlo simulations with SHERPA. Thanks to this approach we can account for nonperturbative migration effects in both the angularities and the jet transverse momentum. We compare our predictions against recent measurements from the CMS experiment. This allows us to test the description of quark-and gluon-jet enriched phase-space regions separately. We supplement our study with SHERPA results based on the matching of NLO QCD matrix elements with the parton shower. Both theoretical predictions offer a good description of the data, within the experimental and theoretical uncertainties. The latter are however sizeable, motivating higher-accuracy calculations.

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A general method for the resummation of event-shape distributions in e^+e^- annihilation

Cited by 46 publications

References 61 publications

Resummation of transverse momentum distributions in distribution space

Resummation of transverse momentum distributions in distribution space

QCD Predictions for Event-Shape Distributions in Hadronic Higgs Decays

Phenomenology of jet angularities at the LHC

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