New Standard for the Logarithmic Accuracy of Parton Showers Melissa van Beekveld, Mrinal Dasgupta, Basem Kamal El-Menoufi, Silvia Ferrario Ravasio, Keith Hamilton, Jack Helliwell, Alexander Karlberg, Pier Francesco Monni, Gavin P. Salam, Ludovic Scyboz,et al. American Physical Society (APS) We report on a major milestone in the construction of logarithmically accurate final-state parton showers, achieving next-to-next-to-leading-logarithmic (NNLL) accuracy for the wide class of observables known as event shapes. The key to this advance lies in the identification of the relation between critical NNLL analytic resummation ingredients and their parton-shower counterparts. Our analytic discussion is supplemented with numerical tests of the logarithmic accuracy of three shower variants for more than a dozen distinct event-shape observables in Z→qq¯ and Higgs→gg decays. The NNLL terms are phenomenologically sizeable, as illustrated in comparisons to data. Published by the American Physical Society 2025
Benchmark of deep-inelastic-scattering structure functions at Oαs3 Valerio Bertone and Alexander Karlberg Springer Science and Business Media LLC AbstractWe present a benchmark comparison of the massless inclusive deep-inelastic-scattering (DIS) structure functions up to $$\\mathcal {O}(\\alpha _s ^3)$$ O ( α s 3 ) in perturbative QCD. The comparison is performed using the codes apfel++ and hoppet within the framework of the variable-flavour-number scheme and over a broad kinematic range relevant to the extraction of parton distribution functions. We provide results for both the single structure functions and the reduced cross sections in both neutral- and charged-current DIS. Look-up tables for future reference are included, and we also release the code used for the benchmark.
Two-loop anomalous dimensions for small-R jet versus hadronic fragmentation functions Melissa van Beekveld, Mrinal Dasgupta, Basem Kamal El-Menoufi, Jack Helliwell, Alexander Karlberg, and Pier Francesco Monni Springer Science and Business Media LLC Abstract We study the collinear fragmentation of highly energetic jets defined with a small jet radius. In particular, we investigate how the corresponding fragmentation functions differ from their hadronic counterpart defined in the common $$ \\overline{\\textrm{MS}} $$ MS ¯ scheme. We find that the anomalous dimensions governing the perturbative evolution of the two fragmentation functions differ starting at the two loop order. We compute for the first time the new anomalous dimensions at two loops and confirm our predictions by comparing the inclusive small-R jet spectrum against a fixed order perturbative calculation at $$ \\mathcal{O} $$ O ($$ {\\alpha}_s^2 $$ α s 2 ). To investigate the dependence of the anomalous dimension on the kinematic cutoff variable, we study the fragmentation functions of Cambridge jets defined with a transverse momentum cutoff as opposed to an angular cutoff R. We further study the evolution of the small-R fragmentation function with an alternative cutoff scale, proportional to zR, representing the maximum possible transverse momentum of emissions within a jet. In these cases we find that the two-loop anomalous dimensions coincide with the $$ \\overline{\\textrm{MS}} $$ MS ¯ DGLAP ones, highlighting a correspondence between the $$ \\overline{\\textrm{MS}} $$ MS ¯ scheme and a transverse-momentum cutoff.
QCD effects in electroweak WZjj production at current and future hadron colliders B. Jäger, A. Karlberg, and S. Reinhardt Springer Science and Business Media LLC AbstractWe present an update of an existing implementation of WZjj production via vector-boson scattering in the framework of the program. In particular, previously unavailable semi-leptonic and fully hadronic decay modes of the intermediate vector bosons are provided, and operators of dimension six in an effective-field theory approach to account for physics beyond the Standard Model in the electroweak sector are included. For selected applications phenomenological results are provided to illustrate the capabilities of the new program. The impact of the considered dimension-six operators on experimentally accessible distributions is found to be small for current LHC energies, but enhanced in the kinematic reach of a potential future hadron collider with an energy of 100 TeV. The relevance of fully accounting for spin correlations and off-shell effects in the decay system is explored by a comparison with results obtained with the tool that are based on an approximate treatment of the leptonic final state resulting from vector boson scattering processes. For selected semi-leptonic and hadronic decay modes we demonstrate the sensitivity of realistic signal selection procedures on QCD corrections and parton-shower effects.
Event generators for high-energy physics experiments J. M. Campbell, M. Diefenthaler, T. J. Hobbs, Stefan Höche, Joshua Isaacson, Felix Kling, Stephen Mrenna, J. Reuter, S. Alioli, J. R. Andersen,et al. Stichting SciPost We provide an overview of the status of Monte-Carlo event generators for high-energy particle physics. Guided by the experimental needs and requirements, we highlight areas of active development, and opportunities for future improvements. Particular emphasis is given to physics models and algorithms that are employed across a variety of experiments. These common themes in event generator development lead to a more comprehensive understanding of physics at the highest energies and intensities, and allow models to be tested against a wealth of data that have been accumulated over the past decades. A cohesive approach to event generator development will allow these models to be further improved and systematic uncertainties to be reduced, directly contributing to future experimental success. Event generators are part of a much larger ecosystem of computational tools. They typically involve a number of unknown model parameters that must be tuned to experimental data, while maintaining the integrity of the underlying physics models. Making both these data, and the analyses with which they have been obtained accessible to future users is an essential aspect of open science and data preservation. It ensures the consistency of physics models across a variety of experiments.
A POWHEG generator for deep inelastic scattering Andrea Banfi, Silvia Ferrario Ravasio, Barbara Jäger, Alexander Karlberg, Felix Reichenbach, and Giulia Zanderighi Springer Science and Business Media LLC Abstract We present a new event generator for the simulation of both neutral- and charged-current deep inelastic scattering (DIS) at next-to-leading order in QCD matched to parton showers using the POWHEG method. Our implementation builds on the existing POWHEG BOX framework originally designed for hadron-hadron collisions, supplemented by considerable extensions to account for the genuinely different kinematics inherent to lepton-hadron collisions. In particular, we present new momentum mappings that conserve the special kinematics found in DIS, which we use to modify the POWHEG BOX implementation of the Frixione-Kunszt-Signer subtraction mechanism. We compare our predictions to fixed-order and resummed predictions, as well as to data from the HERA ep collider. Finally we study a few representative distributions for the upcoming Electron Ion Collider.
Precise predictions for boosted Higgs production Kathrin Becker, Fabrizio Caola, Andrea Massironi, Bernhard Mistlberger, Pier Francesco Monni, Xuan Chen, Stefano Frixione, Thomas Gehrmann, Nigel Glover, Keith Hamilton,et al. Stichting SciPost Inclusive Higgs boson production at large transverse momentum is induced by different production channels. We focus on the leading production mechanism through gluon fusion, and perform a consistent combination of the state of the art calculations obtained in the infinite-top-mass effective theory at next-to-next-to-leading order (NNLO) and in the full Standard Model (SM) at next-to-leading order (NLO). We thus present approximate QCD predictions for this process at NNLO, and a study of the corresponding perturbative uncertainties. This calculation is then compared with those obtained with commonly used event generators, and we observe that the description of the considered kinematic regime provided by these tools is in good agreement with state of the art calculations. Finally, we present accurate predictions for other production channels such as vector boson fusion, and associated production with a gauge boson, and with a t\\bar{t}tt‾ pair. We find that, at large transverse momentum, the contribution of other production modes is substantial, and therefore must be included for a precise theory prediction of this observable.
Parton Showering with Higher Logarithmic Accuracy for Soft Emissions Silvia Ferrario Ravasio, Keith Hamilton, Alexander Karlberg, Gavin P. Salam, Ludovic Scyboz, and Gregory Soyez American Physical Society (APS) The accuracy of parton-shower simulations is often a limiting factor in the interpretation of data from high-energy colliders. We present the first formulation of parton showers with accuracy 1 order beyond state-of-the-art next-to-leading logarithms, for classes of observables that are dominantly sensitive to low-energy (soft) emissions, specifically nonglobal observables and subjet multiplicities. This represents a major step toward general next-to-next-to-leading logarithmic accuracy for parton showers.
Matching and event-shape NNDL accuracy in parton showers Keith Hamilton, Alexander Karlberg, Gavin P. Salam, Ludovic Scyboz, and Rob Verheyen Springer Science and Business Media LLC Abstract To explore the interplay of NLO matching and next-to-leading logarithmic (NLL) parton showers, we consider the simplest case of γ* and Higgs-boson decays to $$ q\\overline{q} $$ q q ¯ and gg respectively. Not only should shower NLL accuracy be retained across observables after matching, but for global event-shape observables and the two-jet rate, matching can augment the shower in such a way that it additionally achieves next-to-next-to-double-logarithmic (NNDL) accuracy, a first step on the route towards general NNLL. As a proof-of-concept exploration of this question, we consider direct application of multiplicative matrix-element corrections, as well as simple implementations of MC@NLO and POWHEG-style matching. We find that the first two straightforwardly bring NNDL accuracy, and that this can also be achieved with POWHEG, although particular care is needed in the handover between POWHEG and the shower. Our study involves both analytic and numerical components and we also touch on some phenomenological considerations.
Soft spin correlations in final-state parton showers Keith Hamilton, Alexander Karlberg, Gavin P. Salam, Ludovic Scyboz, and Rob Verheyen Springer Science and Business Media LLC Abstract We introduce a simple procedure that resolves the long-standing question of how to account for single-logarithmic spin-correlation effects in parton showers not just in the collinear limit, but also in the soft wide-angle limit, at leading colour. We discuss its implementation in the context of the PanScales family of parton showers, where it complements our earlier treatment of the purely collinear spin correlations. Comparisons to fixed-order matrix elements help validate our approach up to third order in the strong coupling, and an appendix demonstrates the small size of residual subleading-colour effects. To help probe wide-angle soft spin correlation effects, we introduce a new declustering-based non-global spin-sensitive observable, the first of its kind. Our showers provide a reference for its single-logarithmic resummation. The work in this paper represents the last step required for final-state massless showers to satisfy the broad PanScales next-to-leading logarithmic accuracy goals.
Spin correlations in final-state parton showers and jet observables Alexander Karlberg, Gavin P. Salam, Ludovic Scyboz, and Rob Verheyen Springer Science and Business Media LLC AbstractAs part of a programme to develop parton showers with controlled logarithmic accuracy, we consider the question of collinear spin correlations within the PanScales family of parton showers. We adapt the well-known Collins–Knowles spin-correlation algorithm to PanScales antenna and dipole showers, using an approach with similarities to that taken by Richardson and Webster. To study the impact of spin correlations, we develop Lund-declustering based observables that are sensitive to spin-correlation effects both within and between jets and extend the MicroJets collinear single-logarithmic resummation code to include spin correlations. Together with a 3-point energy correlation observable proposed recently by Chen, Moult and Zhu, this provides a powerful set of constraints for validating the logarithmic accuracy of our shower results. The new observables and their resummation further open the pathway to phenomenological studies of these important quantum mechanical effects.
Precise predictions for double-Higgs production via vector-boson fusion Frédéric A. Dreyer, Alexander Karlberg, Jean-Nicolas Lang, and Mathieu Pellen Springer Science and Business Media LLC AbstractTheoretical predictions with next-to-next-to-leading order (NNLO) QCD accuracy combined with the next-to-leading order (NLO) electroweak (EW) corrections are presented for differential observables of the double-Higgs production process via vector-boson fusion. While the QCD corrections were previously known, the EW ones are computed here for the first time. The numerical results are obtained for a realistic experimental set-up at the LHC and are presented in the form of fiducial cross sections and differential distributions. Within this setup we find that the VBF approximation employed in the NNLO QCD correction is accurate at the sub-percent level. We find that the NLO EW corrections within the fiducial volume are $$-\\,6.1\\%$$ - 6.1 % , making them of almost the same order as the NLO QCD corrections. In some kinematic regions they can grow as large as $$-\\,30\\%$$ - 30 % making them the dominant radiative corrections. When the EW corrections are combined with the NNLO QCD corrections we find a total correction of $$-\\,14.8\\%$$ - 14.8 % . The results presented here thus comprise the state-of-the-art theoretical predicition for the double-Higgs production via vector-boson fusion, which will be of value to the high-luminosity programme at the LHC.
On the impact of non-factorisable corrections in VBF single and double Higgs production Frédéric A. Dreyer, Alexander Karlberg, and Lorenzo Tancredi Springer Science and Business Media LLC Abstract We study the non-factorisable QCD corrections, computed in the eikonal approximation, to Vector-Boson Fusion single and double Higgs production and show the combined factorisable and non-factorisable corrections for both processes at $$ \\mathcal{O}\\left({\\alpha}_s^2\\right) $$ O α s 2 . We investigate the validity of the eikonal approximation with and without selection cuts, and carry out an in-depth study of the relative size of the non-factorisable next-to-next-to-leading order corrections compared to the factorisable ones. In the case of single Higgs production, after selection cuts are applied, the non-factorisable corrections are found to be mostly contained within the factorisable scale uncertainty bands. When no cuts are applied, instead, the non-factorisable corrections are slightly outside the scale uncertainty band. Interestingly, for double Higgs production, we find that both before and after applying cuts, non-factorisable corrections are enhanced compared to the single Higgs case. We trace this enhancement to the existence of delicate cancellations between the various leading-order Feynman diagrams, which are partly spoiled by radiative corrections. All contributions studied here have been implemented in proVBFH v1.2.0 and proVBFHH v1.1.0.
Parton-shower effects in Higgs production via vector-boson fusion Barbara Jäger, Alexander Karlberg, Simon Plätzer, Johannes Scheller, and Marco Zaro Springer Science and Business Media LLC AbstractWe present a systematic investigation of parton-shower and matching uncertainties of perturbative origin for Higgs-boson production via vector-boson fusion. To this end we employ different generators at next-to-leading order QCD accuracy matched with shower Monte Carlo programs, , and , and a next-to-next-to-leading order QCD calculation. We thoroughly analyse the intrinsic sources of uncertainty within each generator, and then compare predictions among the different tools using the respective recommended setups. Within typical vector-boson fusion cuts, the resulting uncertainties on observables that are accurate to next-to-leading order are at the 10% level for rates and even smaller for shapes. For observables sensitive to extra radiation effects uncertainties of about 20% are found. We furthermore show how a specific recoil scheme is needed when is employed, in order not to encounter unphysical enhancements for these observables. We conclude that for vector-boson fusion processes an assessment of the uncertainties associated with simulation at next-to-leading order matched to parton showers based only on the variation of renormalisation, factorisation and shower scales systematically underestimates their true size.
Fully differential vector-boson fusion Higgs pair production at next-to-next-to-leading order Frédéric A. Dreyer and Alexander Karlberg American Physical Society (APS) We calculate the fully differential next-to-next-to-leading order (NNLO) QCD corrections to vector-boson fusion (VBF) Higgs pair production. This calculation is achieved in the limit in which there is no colored cross-talk between the colliding protons, using the projection-to-Born method. We present differential cross sections of key observables, showing corrections of up to 3-4% at this order after typical VBF cuts, with the total cross section receiving contributions of about 2%. In contrast to single Higgs VBF production, we find that the NNLO corrections are for the most part within the next-to-leading order scale uncertainty bands.
Vector-boson fusion Higgs pair production at N3LO Frédéric A. Dreyer and Alexander Karlberg American Physical Society (APS) We calculate the next-to-next-to-next-to-leading order (N3LO) QCD corrections to vector-boson fusion (VBF) Higgs pair production in the limit in which there is no partonic exchange between the two protons. We show that the inclusive cross section receives negligible corrections at this order, while the scale variation uncertainties are reduced by a factor four. We present differential distributions for the transverse momentum and rapidity of the final state Higgs bosons, and show that there is almost no kinematic dependence to the third order corrections. Finally we study the impact of deviations from the Standard Model in the trilinear Higgs coupling, and show that the structure of the higher order corrections does not depend on the self-coupling. These results are implemented in the latest release of the proVBFH-incl program.
Precise predictions for same-sign W-boson scattering at the LHC Alessandro Ballestrero, Benedikt Biedermann, Simon Brass, Ansgar Denner, Stefan Dittmaier, Rikkert Frederix, Pietro Govoni, Michele Grossi, Barbara Jäger, Alexander Karlberg,et al. Springer Science and Business Media LLC
Vector-Boson Fusion Higgs Production at Three Loops in QCD Frédéric A. Dreyer and Alexander Karlberg American Physical Society (APS) We calculate the next-to-next-to-next-to-leading-order (N^{3}LO) QCD corrections to inclusive vector-boson fusion Higgs production at proton colliders, in the limit in which there is no color exchange between the hadronic systems associated with the two colliding protons. We also provide differential cross sections for the Higgs transverse momentum and rapidity distributions. We find that the corrections are at the 1‰-2‰ level, well within the scale uncertainty of the next-to-next-to-leading-order calculation. The associated scale uncertainty of the N^{3}LO calculation is typically found to be below the 2‰ level. We also consider theoretical uncertainties due to missing higher order parton distribution functions, and provide an estimate of their importance.
Fully Differential Vector-Boson-Fusion Higgs Production at Next-to-Next-to-Leading Order Matteo Cacciari, Frédéric A. Dreyer, Alexander Karlberg, Gavin P. Salam, and Giulia Zanderighi American Physical Society (APS) We calculate the fully differential next-to-next-to-leading-order (NNLO) corrections to vector-boson fusion (VBF) Higgs boson production at proton colliders, in the limit in which there is no cross talk between the hadronic systems associated with the two protons. We achieve this using a new "projection-to-Born" method that combines an inclusive NNLO calculation in the structure-function approach and a suitably factorized next-to-leading-order VBF Higgs plus three-jet calculation, using appropriate Higgs plus two-parton counterevents. An earlier calculation of the fully inclusive cross section had found small NNLO corrections, at the 1% level. In contrast, the cross section after typical experimental VBF cuts receives NNLO contributions of about (5-6)%, while differential distributions show corrections of up to (10-12)% for some standard observables. The corrections are often outside the next-to-leading-order scale-uncertainty band.
arXiv: Precision tools for the simulation of double-Higgs production via vector-boson fusion B Jger, S Reinhardt, A Karlberg 2025
Precision tools for the simulation of double-Higgs production via vector-boson fusion B Jger, A Karlberg, S Reinhardt arXiv preprint arXiv:2502.09112 2025
New Standard for the Logarithmic Accuracy of Parton Showers M Van Beekveld, M Dasgupta, BK El-Menoufi, S Ferrario Ravasio, ... Physical Review Letters 134 (1), 011901 2025
Benchmark of deep-inelastic-scattering structure functions at O α s 3 V Bertone, A Karlberg The European Physical Journal C 84 (8), 774 2024
Codebase release r1. 0 for disorder A Karlberg SciPost Physics Codebases, 032 2024
disorder: Deep inelastic scattering at high orders A Karlberg SciPost Physics Codebases, 032 2024
arXiv: An event generator for neutrino-induced Deep Inelastic Scattering and applications to neutrino astronomy S Ferrario Ravasio, B Jger, G Zanderighi, A Karlberg, R Gauld 2024
An event generator for neutrino-induced Deep Inelastic Scattering and applications to neutrino astronomy SF Ravasio, R Gauld, B Jger, A Karlberg, G Zanderighi arXiv preprint arXiv:2407.03894 2024
An event generator for neutrino-induced Deep Inelastic Scattering and applications to neutrino astronomy S Ferrario Ravasio, R Gauld, B Jger, A Karlberg, G Zanderighi arXiv e-prints, arXiv: 2407.03894 2024
Two-loop anomalous dimensions for small-R jet versus hadronic fragmentation functions M van Beekveld, M Dasgupta, BK El-Menoufi, J Helliwell, A Karlberg, ... Journal of High Energy Physics 2024 (7), 1-28 2024
Codebase release r0. 1 for PanScales M van Beekveld, M Dasgupta, BK El-Menoufi, S Ferrario Ravasio, ... SciPost Physics Codebases, 031 2024
Introduction to the PanScales framework, version 0.1 M Van Beekveld, M Dasgupta, BK El-Menoufi, S Ferrario Ravasio, ... SciPost Physics Codebases, 031 2024
QCD effects in electroweak production at current and future hadron colliders B Jger, A Karlberg, S Reinhardt The European Physical Journal C 84 (6), 587 2024
arXiv: A new standard for the logarithmic accuracy of parton showers M van Beekveld, J Helliwell, A Soto-Ontoso, GP Salam, PF Monni, ... 2024
Event generators for high-energy physics experiments JM Campbell, M Diefenthaler, TJ Hobbs, S Hche, J Isaacson, F Kling, ... SciPost physics 16 (5), 130 2024
arXiv : Benchmark of deep-inelastic-scattering structure functions at V Bertone, A Karlberg 2024
arXiv: QCD effects in electroweak $ WZjj $ production at current and future hadron colliders B Jger, S Reinhardt, A Karlberg 2024
Ad interim recommendations for the Higgs boson production cross sections at TeV A Karlberg, J Malcles, B Mistlberger, R Di Nardo, SH Abidi, R Hayes, ... arXiv preprint arXiv:2402.09955 2024
A POWHEG generator for deep inelastic scattering A Banfi, SF Ravasio, B Jger, A Karlberg, F Reichenbach, G Zanderighi Journal of High Energy Physics 2024 (2), 1-54 2024
arXiv: disorder: Deep inelastic scattering at high orders A Karlberg 2024
MOST CITED SCHOLAR PUBLICATIONS
arXiv: Handbook of LHC Higgs Cross Sections: 4. Deciphering the Nature of the Higgs Sector D de Florian, D Fontes, J Quevillon, M Schumacher, FJ Llanes-Estrada, ... Cern 2016 Citations: 2860
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Fully differential vector-boson-fusion Higgs production at next-to-next-to-leading order M Cacciari, FA Dreyer, A Karlberg, GP Salam, G Zanderighi Physical review letters 115 (8), 082002 2015 Citations: 431
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Electroweak ZZjj production in the Standard Model and beyond in the POWHEG-BOX V2 B Jger, A Karlberg, G Zanderighi Journal of High Energy Physics 2014 (3), 1-19 2014 Citations: 59
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