Publications · αLoop

2026 0 citations

Complete four-loop pressure of cold QED

Kärkkäinen, Aapeli, Navarrete, Pablo, Nurmela, Mika, Seppänen, Kaapo, Abreu, Samuel, Delto, Maximilian, et al.

2026 0 citations

pyAmpliCol: fast tree-level matrix elements

Frederix, Rikkert, Hirschi, Valentin, Huber, Lucien, Iravanian, Shahriar, Ruijl, Ben, Vitos, Timea

2026 1 citations

Exact color sums for multi-gluon amplitudes: direct, multiplet and symmetric-group Fourier methods

Frederix, Rikkert, Hirschi, Valentin, Sjödahl, Malin

2026 0 citations

A Task Force on Strong Coupling Determinations from Event Shapes

Badea, Anthony, Buonocore, Luca, Vita, Gherardo, Alioli, Simone, Capatti, Zeno, Chen, Yi, et al.

2026 0 citations

Static linear response of hot and dense QCD matter to electromagnetic fields: Leading hard and soft QCD corrections

Ferreira, Osvaldo, Fraga, Eduardo S., Gorda, Tyler, Paatelainen, Risto, Sandbote, Leon, Seppänen, Kaapo

2025 Phys.Rev.D 114 (2026) 054056 7 citations

New approach to determine the thermodynamics of deconfined matter to high accuracy

Gorda, Tyler, Navarrete, Pablo, Paatelainen, Risto, Sandbote, Leon, Seppänen, Kaapo

2025 2 citations

Five-loop beta function for gauge theories: computations, results and consequences

Herzog, Franz, Ruijl, Ben, Ueda, Takahiro, Vermaseren, Jos, Vogt, Andreas

2025 JHEP 03 (2026) 068 6 citations

NNLO QCD corrections to γγ → QQ̅ from Local Unitarity combined with Coulomb resummation and NLO EW effects

Capatti, Zeno, Fraaije, Mathijs, Hirschi, Valentin, Huber, Lucien, Ruijl, Ben, Shao, Hua-Sheng

2025 1 citations

Quark Matter Thermodynamics from High-Order Perturbative QCD

Seppänen, Kaapo

2025 JHEP 01 (2026) 113 28 citations

Cosmological phase transitions without high-temperature expansions

Navarrete, Pablo, Paatelainen, Risto, Seppänen, Kaapo, Tenkanen, Tuomas V.I.

2025 2 citations

Multi-partonic interactions, iterated discontinuities and the virtuality expansion in deep inelastic scattering

Capatti, Zeno, Huber, Lucien, Ruf, Michael

2025 Comput.Phys.Commun. 317 (2025) 109846 5 citations

Tropical sampling from Feynman measures

Borinsky, Michael, Fraaije, Mathijs

2025 Phys.Rev.Lett. 135 (2025) 021901 23 citations

Quark Matter at Four Loops: Hardships and How to Overcome Them

Kärkkäinen, Aapeli, Navarrete, Pablo, Nurmela, Mika, Paatelainen, Risto, Seppänen, Kaapo, Vuorinen, Aleksi

2024 Phys.Rev.D 111 (2025) 125002 13 citations

Classical worldlines from scattering amplitudes

Capatti, Zeno, Zeng, Mao

2024 Phys.Rev.A 111 (2025) 013309 5 citations

Universal corrections to the superfluid gap in a cold Fermi gas

Beane, Silas R., Capatti, Zeno, Farrell, Roland C.

2024 Phys.Rev.D 110 (2024) 094033 22 citations

Perturbative QCD meets phase quenching: The pressure of cold quark matter

Navarrete, Pablo, Paatelainen, Risto, Seppänen, Kaapo

2024 Acta Phys.Polon.Supp. 17 (2024) 2 0 citations

Exact Quark Mass Corrections to Higgs + Jet Production at the LHC

Bonciani, R., Del Duca, V., Frellesvig, H., Hidding, M., Hirschi, V., Moriello, F., et al.

2023 Phys.Lett.B 851 (2024) 138555 33 citations

Light-by-light scattering at next-to-leading order in QCD and QED

A H, Ajjath, Chaubey, Ekta, Fraaije, Mathijs, Hirschi, Valentin, Shao, Hua-Sheng

2023 PoS RADCOR2023 (2024) 027 8 citations

Derivation of the Cross-Free Family representation for the box diagram

Capatti, Zeno

2023 PoS RADCOR2023 (2024) 026 1 citations

Flow Oriented Perturbation Theory

Salas-Bernárdez, Alexandre, Borinsky, Michael, Capatti, Zeno, Laenen, Eric

2023 Phys.Lett.B 849 (2024) 138468 61 citations

Additional moments and x-space approximations of four-loop splitting functions in QCD

Moch, S., Ruijl, B., Ueda, T., Vermaseren, J., Vogt, A.

2023 Phys.Rev.Lett. 131 (2023) 181902 87 citations

Equation of State of Cold Quark Matter to O(αₛ³ ln αₛ)

Gorda, Tyler, Paatelainen, Risto, Säppi, Saga, Seppänen, Kaapo

2023 Eur.Phys.J.C 83 (2023) 631 163 citations

UFO 2.0: the ‘Universal Feynman Output’ format

Darmé, Luc, Degrande, Céline, Duhr, Claude, Fuks, Benjamin, Goodsell, Mark, Heinrich, Gudrun, et al.

2023 JHEP 08 (2023) 021 18 citations

Soft gluon self-energy at finite temperature and density: hard NLO corrections in general covariant gauge

Gorda, Tyler, Paatelainen, Risto, Säppi, Saga, Seppänen, Kaapo

2023 0 citations

Singularities of Feynman diagrams and their local cancellation in collider cross-sections

Capatti, Zeno

2022 Phys.Rev.D 107 (2023) L051902 26 citations

Exposing the threshold structure of loop integrals

Capatti, Zeno

2022 JHEP 01 (2023) 172 11 citations

Flow-oriented perturbation theory

Borinsky, Michael, Capatti, Zeno, Laenen, Eric, Salas-Bernárdez, Alexandre

2022 PoS LL2022 (2022) 047 5 citations

DIS coefficient functions at four loops in QCD and beyond

Moch, Sven-Olaf, Ruijl, Ben, Ueda, Takahiro, Vermaseren, Jos A.M., Vogt, Andreas

2022 Phys.Lett.B 834 (2022) 137399 21 citations

On the reconstruction problem in quantum gravity

Fraaije, Mathijs, Platania, Alessia, Saueressig, Frank

2022 Phys.Lett.B 843 (2023) 137995 46 citations

Next-to-leading-order QCD corrections to Higgs production in association with a jet

Bonciani, Roberto, Del Duca, Vittorio, Frellesvig, Hjalte, Hidding, Martijn, Hirschi, Valentin, Moriello, Francesco, et al.

2022 Phys.Rev.D 107 (2023) L031501 15 citations

Degenerate fermionic matter at N3LO: Quantum electrodynamics

Gorda, Tyler, Kurkela, Aleksi, Österman, Juuso, Paatelainen, Risto, Säppi, Saga, Schicho, Philipp, Seppänen, Kaapo, Vuorinen, Aleksi

2022 Phys.Rev.D 107 (2023) 036012 27 citations

Soft photon propagation in a hot and dense medium to next-to-leading order

Gorda, Tyler, Kurkela, Aleksi, Österman, Juuso, Paatelainen, Risto, Säppi, Saga, Schicho, Philipp, Seppänen, Kaapo, Vuorinen, Aleksi

2022 SciPost Phys. 16 (2024) 130 217 citations

Event generators for high-energy physics experiments

Campbell, J.M., Diefenthaler, M., Hobbs, T.J., Höche, Stefan, Isaacson, Joshua, Kling, Felix, et al.

2022 JHEP 10 (2022) 120 39 citations

Local unitarity: cutting raised propagators and localising renormalisation

Capatti, Zeno, Hirschi, Valentin, Ruijl, Ben

2021 Phys.Lett.B 825 (2022) 136853 93 citations

Low moments of the four-loop splitting functions in QCD

Moch, S., Ruijl, B., Ueda, T., Vermaseren, J.A.M., Vogt, A.

2021 SciPost Phys.Proc. 7 (2022) 024 11 citations

Local Unitarity

Capatti, Zeno

2020 Phys.Rev.D 103 (2021) 054037 45 citations

Next-to-leading order corrections to light-quark mixed QCD-EW contributions to Higgs boson production

Becchetti, Matteo, Bonciani, Roberto, Del Duca, Vittorio, Hirschi, Valentin, Moriello, Francesco, Schweitzer, Armin

2020 JHEP 04 (2021) 104 69 citations

Local Unitarity: a representation of differential cross-sections that is locally free of infrared singularities at any order

Capatti, Zeno, Hirschi, Valentin, Pelloni, Andrea, Ruijl, Ben

2020 63 citations

Manifestly Causal Loop-Tree Duality

Capatti, Zeno, Hirschi, Valentin, Kermanschah, Dario, Pelloni, Andrea, Ruijl, Ben

2020 J.Phys.Conf.Ser. 1525 (2020) 012013 14 citations

Further developments of FORM

Ueda, T., Kaneko, T., Ruijl, B., Vermaseren, J.A.M.

2020 J.Phys.Conf.Ser. 1525 (2020) 012006 0 citations

reFORM: designing a new symbolic manipulation toolkit

Ruij, Ben

2020 JHEP 08 (2020) 017 68 citations

Higgs production in bottom quark fusion: matching the 4- and 5-flavour schemes to third order in the strong coupling

Duhr, Claude, Dulat, Falko, Hirschi, Valentin, Mistlberger, Bernhard

2019 JHEP 04 (2020) 096 87 citations

Numerical Loop-Tree Duality: contour deformation and subtraction

Capatti, Zeno, Hirschi, Valentin, Kermanschah, Dario, Pelloni, Andrea, Ruijl, Ben

2019 Phys.Rev.D 102 (2020) 016010 54 citations

Two- and three-loop anomalous dimensions of Weinberg’s dimension-six CP-odd gluonic operator

de Vries, Jordy, Falcioni, Giulio, Herzog, Franz, Ruijl, Ben

2019 JHEP 12 (2019) 008 66 citations

Automated simulations beyond the Standard Model: supersymmetry

Frixione, Stefano, Fuks, Benjamin, Hirschi, Valentin, Mawatari, Kentarou, Shao, Hua-Sheng, Sunder, P.A., Zaro, Marco

2019 13 citations

Proposal for the validation of Monte Carlo implementations of the standard model effective field theory

Durieux, Gauthier, Brivio, Ilaria, Maltoni, Fabio, Trott, Michael, Alioli, Simone, Buckley, Andy, et al.

2019 Phys.Rev.Lett. 123 (2019) 151602 122 citations

Loop-Tree Duality for Multiloop Numerical Integration

Capatti, Zeno, Hirschi, Valentin, Kermanschah, Dario, Ruijl, Ben

2019 JHEP 05 (2019) 002 13 citations

One-loop weak corrections to Higgs production

Hirschi, Valentin, Lionetti, Simone, Schweitzer, Armin

2019 CERN Yellow Rep.Monogr. 7 (2019) 1 326 citations

Report from Working Group 1

Azzi, P., Farry, S., Nason, P., Tricoli, A., Zeppenfeld, D., Abdul Khalek, R., et al.

2019 CERN Yellow Rep.Monogr. 7 (2019) 221 1038 citations

Report from Working Group 2

Cepeda, M., Gori, S., Ilten, P., Kado, M., Riva, F., Abdul Khalek, R., et al.

2018 Phys.Lett.B 790 (2019) 436 103 citations

Five-loop contributions to low-N non-singlet anomalous dimensions in QCD

Herzog, F., Moch, S., Ruijl, B., Ueda, T., Vermaseren, J.A.M., Vogt, A.

2018 J.Phys.Conf.Ser. 1085 (2018) 022007 0 citations

Games and loop integrals

Ruijl, Ben

2018 PoS LL2018 (2018) 050 30 citations

Anomalous dimensions and splitting functions beyond the next-to-next-to-leading order

Vogt, A., Herzog, F., Moch, S., Ruijl, B., Ueda, T., Vermaseren, J.A.M.

2018 PoS LL2018 (2018) 066 0 citations

Automated extraction of UV counterterms for arbitrary local operators

Ruijl, Ben

2018 JHEP 07 (2018) 093 50 citations

Constraining anomalous gluon self-interactions at the LHC: a reappraisal

Hirschi, Valentin, Maltoni, Fabio, Tsinikos, Ioannis, Vryonidou, Eleni

2018 J.Phys.Conf.Ser. 1085 (2018) 052009 0 citations

Numerical Methods and the 4-point 2-loop Higgs amplitudes

Jones, S.P., Ruijl, B.

2018 Phys.Lett.B 782 (2018) 627 170 citations

On quartic colour factors in splitting functions and the gluon cusp anomalous dimension

Moch, S., Ruijl, B., Ueda, T., Vermaseren, J.A. M., Vogt, A.

2018 JHEP 11 (2021) 085 573 citations

The automation of next-to-leading order electroweak calculations

Frederix, R., Frixione, S., Hirschi, V., Pagani, D., Shao, H.-S., Zaro, M.

2018 173 citations

Les Houches 2017: Physics at TeV Colliders Standard Model Working Group Report

Andersen, J.R., Bellm, J., Bendavid, J., Berger, N., Bhatia, D., Biedermann, B., et al.

2018 PoS RADCOR2017 (2018) 011 18 citations

The R∗-operation and five-loop calculations

Ruijl, Ben, Herzog, Franz, Ueda, Takahiro, Vermaseren, Jos A.M., Vogt, Andreas

2018 PoS RADCOR2017 (2018) 046 8 citations

Four-loop results on anomalous dimensions and splitting functions in QCD

Vogt, Andreas, Moch, Sven-Olaf, Ruijl, B., Ueda, Takahiro, Vermaseren, J.A.M.

2018 Ann.Rev.Nucl.Part.Sci. 68 (2018) 291 8 citations

Automated Computation of One-Loop Amplitudes

Degrande, Celine, Hirschi, Valentin, Mattelaer, Olivier

2017 J.Phys.Conf.Ser. 920 (2017) 012002 0 citations

Efficient reduction of four-loop massless propagators

Ueda, T., Ruijl, B., Vermaseren, J.A.M.

2017 0 citations

Advances in computational methods for Quantum Field Theory calculations

Ruijl, B.J.G.

2017 PoS EPS-HEP2017 (2017) 380 1 citations

The QCD beta function at five loops

Herzog, Franz, Ruijl, Ben, Ueda, Takahiro, Vermaseren, Jos, Vogt, Andreas

2017 JHEP 10 (2017) 041 298 citations

Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond

Moch, S., Ruijl, B., Ueda, T., Vermaseren, J.A.M., Vogt, A.

2017 437 citations

FORM version 4.2

Ruijl, Ben, Ueda, Takahiro, Vermaseren, Jos

2017 JHEP 08 (2017) 113 140 citations

On Higgs decays to hadrons and the R-ratio at N⁴LO

Herzog, F., Ruijl, B., Ueda, T., Vermaseren, J.A.M., Vogt, A.

2017 Comput.Phys.Commun. 253 (2020) 107198 159 citations

Forcer, a FORM program for the parametric reduction of four-loop massless propagator diagrams

Ruijl, B., Ueda, T., Vermaseren, J.A.M.

2017 JHEP 06 (2017) 040 57 citations

Four-loop QCD propagators and vertices with one vanishing external momentum

Ruijl, B., Ueda, T., Vermaseren, J.A.M., Vogt, A.

2017 JHEP 05 (2017) 037 77 citations

The R*-operation for Feynman graphs with generic numerators

Herzog, Franz, Ruijl, Ben

2017 JHEP 02 (2017) 090 508 citations

The five-loop beta function of Yang-Mills theory with fermions

Herzog, F., Ruijl, B., Ueda, T., Vermaseren, J.A.M., Vogt, A.

2016 JHEP 04 (2017) 076 75 citations

The complete NLO corrections to dijet hadroproduction

Frederix, Rikkert, Frixione, Stefano, Hirschi, Valentin, Pagani, Davide, Shao, Hua-Sheng, Zaro, Marco

2016 CERN Yellow Rep.Monogr. 2 (2017) 1 2931 citations

Handbook of LHC Higgs Cross Sections: 4. Deciphering the Nature of the Higgs Sector

de Florian, D., Grojean, C., Maltoni, F., Mariotti, C., Nikitenko, A., Pieri, M., et al.

2016 Nucl.Phys.B 915 (2017) 13946 161 citations

Large-nf contributions to the four-loop splitting functions in QCD

Davies, J., Vogt, A., Ruijl, B., Ueda, T., Vermaseren, J.A.M.

2016 Phys.Lett.B 772 (2017) 87 79 citations

Accurate predictions for charged Higgs production: Closing the mₕ±∼ mₜ window

Degrande, Celine, Frederix, Rikkert, Hirschi, Valentin, Ubiali, Maria, Wiesemann, Marius, Zaro, Marco

2016 CERN Yellow Rep. (2017) 1 210 citations

Physics at a 100 TeV pp Collider: Standard Model Processes

Mangano, M.L., Zanderighi, G., Aguilar-Saavedra, Juan Antonio, Alekhin, S., Badger, S., Bauer, C.W., et al.

2016 PoS LL2016 (2016) 073 22 citations

FORM, Diagrams and Topologies

Herzog, Franz, Ruijl, Ben, Ueda, Takahiro, Vermaseren, J.A.M., Vogt, Andreas

2016 PoS LL2016 (2016) 070 43 citations

Forcer: a FORM program for 4-loop massless propagators

Ueda, T., Ruijl, B., Vermaseren, J.A.M.

2016 CERN Yellow Rep. (2017) 255 239 citations

Physics at a 100 TeV pp collider: Higgs and EW symmetry breaking studies

Contino, R., Curtin, D., Katz, A., Mangano, M.L., Panico, G., Ramsey-Musolf, M.J., et al.

2016 Phys.Lett.B 770 (2017) 507 44 citations

NLO predictions for the production of a spin-two particle at the LHC

Das, Goutam, Degrande, Celine, Hirschi, Valentin, Maltoni, Fabio, Shao, Hua-Sheng

2016 PoS LL2016 (2016) 071 58 citations

First Forcer results on deep-inelastic scattering and related quantities

Ruijl, B., Ueda, T., Vermaseren, J.A.M., Davies, J., Vogt, A.

2016 J.Phys.Conf.Ser. 762 (2016) 012060 21 citations

Calculating four-loop massless propagators with Forcer

Ueda, T., Ruijl, B., Vermaseren, J.A.M.

2016 JHEP 06 (2016) 060 57 citations

Tensor integrand reduction via Laurent expansion

Hirschi, Valentin, Peraro, Tiziano

2015 Phys.Lett.B 755 (2016) 82 23 citations

Matching next-to-leading order predictions to parton showers in supersymmetric QCD

Degrande, Celine, Fuks, Benjamin, Hirschi, Valentin, Proudom, Josselin, Shao, Hua-Sheng

2015 Eur.Phys.J.C 76 (2016) 221 20 citations

Spin Polarisation of tt̅γγ production at NLO+PS with GoSam interfaced to MadGraph5_aMC@NLO

van Deurzen, Hans, Frederix, Rikkert, Hirschi, Valentin, Luisoni, Gionata, Mastrolia, Pierpaolo, Ossola, Giovanni

2015 Phys.Rev.D 92 (2015) 084002 15 citations

Locally Causal Dynamical Triangulations in Two Dimensions

Loll, Renate, Ruijl, Ben

2015 JHEP 10 (2015) 146 217 citations

Automated event generation for loop-induced processes

Hirschi, Valentin, Mattelaer, Olivier

2015 Phys.Lett.B 746 (2015) 347 15 citations

The diamond rule for multi-loop Feynman diagrams

Ruijl, Ben, Ueda, Takahiro, Vermaseren, Jos

2015 JHEP 06 (2015) 184 431 citations

Electroweak and QCD corrections to top-pair hadroproduction in association with heavy bosons

Frixione, S., Hirschi, V., Pagani, D., Shao, H. -S., Zaro, M.

2014 Phys.Rev.D 91 (2015) 094005 44 citations

Automated next-to-leading order predictions for new physics at the LHC: the case of colored scalar pair production

Degrande, Céline, Fuks, Benjamin, Hirschi, Valentin, Proudom, Josselin, Shao, Hua-Sheng

2014 11 citations

Why Local Search Excels in Expression Simplification

Ruijl, Ben, Plaat, Aske, Vermaseren, Jos, van den Herik, Jaap

2014 JHEP 02 (2015) 132 184 citations

Higgs production in association with bottom quarks

Wiesemann, M., Frederix, R., Frixione, S., Hirschi, V., Maltoni, F., Torrielli, P.

2014 JHEP 09 (2014) 065 206 citations

Weak corrections to Higgs hadroproduction in association with a top-quark pair

Frixione, S., Hirschi, V., Pagani, D., Shao, H.S., Zaro, M.

2014 6 citations

HEPGAME and the Simplification of Expressions

Ruijl, Ben, Vermaseren, Jos, Plaat, Aske, Herik, Jaap van den

2014 JHEP 07 (2014) 079 10899 citations

The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations

Alwall, J., Frederix, R., Frixione, S., Hirschi, V., Maltoni, F., Mattelaer, O., et al.

2014 Phys.Lett.B 732 (2014) 30073 335 citations