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Using neural networks for efficient evaluation of high multiplicity scattering amplitudes (2020)
Journal Article
Badger, S., & Bullock, J. (2020). Using neural networks for efficient evaluation of high multiplicity scattering amplitudes. Journal of High Energy Physics, 2020(6), Article 114. https://doi.org/10.1007/jhep06%282020%29114

Precision theoretical predictions for high multiplicity scattering rely on the evaluation of increasingly complicated scattering amplitudes which come with an extremely high CPU cost. For state-of-the-art processes this can cause technical bottleneck... Read More about Using neural networks for efficient evaluation of high multiplicity scattering amplitudes.

A numerical evaluation of planar two-loop helicity amplitudes for a W-boson plus four partons (2019)
Journal Article
Hartanto, H. B., Badger, S., Brønnum-Hansen, C., & Peraro, T. (2019). A numerical evaluation of planar two-loop helicity amplitudes for a W-boson plus four partons. Journal of High Energy Physics, 2019(9), Article 119. https://doi.org/10.1007/jhep09%282019%29119

We present the first numerical results for the two-loop helicity amplitudes for the scattering of four partons and a W-boson in QCD. We use a finite field sampling method to reduce directly from Feynman diagrams to the coefficients of a set of master... Read More about A numerical evaluation of planar two-loop helicity amplitudes for a W-boson plus four partons.

Analytic Form of the Full Two-Loop Five-Gluon All-Plus Helicity Amplitude (2019)
Journal Article
Badger, S., Chicherin, D., Gehrmann, T., Heinrich, G., Henn, J., Peraro, T., …Zoia, S. (2019). Analytic Form of the Full Two-Loop Five-Gluon All-Plus Helicity Amplitude. Physical Review Letters, 123(7), Article 071601. https://doi.org/10.1103/physrevlett.123.071601

We compute the full-color two-loop five-gluon amplitude for the all-plus helicity configuration. In order to achieve this, we calculate the required master integrals for all permutations of the external legs, in the physical scattering region. We ver... Read More about Analytic Form of the Full Two-Loop Five-Gluon All-Plus Helicity Amplitude.

Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case (2019)
Journal Article
Badger, S., Brønnum-Hansen, C., Hartanto, H. B., & Peraro, T. (2019). Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case. Journal of High Energy Physics, 2019(1), Article 186. https://doi.org/10.1007/jhep01%282019%29186

We present a compact analytic expression for the leading colour two-loop five-gluon amplitude in Yang-Mills theory with a single negative helicity and four positive helicities. The analytic result is reconstructed from numerical evaluations over fini... Read More about Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case.

Applications of integrand reduction to two-loop five-point scattering amplitudes in QCD (2018)
Presentation / Conference Contribution
Badger, S., Bronnum-Hansen, C., Gehrmann, T., Hartanto, H. B., Henn, J., Lo Presti, A., & Peraro, T. (2018). Applications of integrand reduction to two-loop five-point scattering amplitudes in QCD. In Proceedings of Loops and Legs in Quantum Field Theory — PoS (LL2018) : 29 April 2018 - 04 May 2018, St. Goar, Germany. https://doi.org/10.22323/1.303.0006

We review the current state-of-the-art in integrand level reduction for five-point scattering amplitudes at two loops in QCD. We present some benchmark results for the evaluation of the leading colour two-loop five-gluon amploitudes in the physical r... Read More about Applications of integrand reduction to two-loop five-point scattering amplitudes in QCD.

First Look at Two-Loop Five-Gluon Scattering in QCD (2018)
Journal Article
Badger, S., Brønnum-Hansen, C., Hartanto, H. B., & Peraro, T. (2018). First Look at Two-Loop Five-Gluon Scattering in QCD. Physical Review Letters, 120(9), Article 092001. https://doi.org/10.1103/physrevlett.120.092001

We compute the leading-color contributions to five-gluon scattering at two loops in massless QCD. The integrands of all independent helicity amplitudes are evaluated using d -dimensional generalized unitarity cuts and finite field reconstruction tech... Read More about First Look at Two-Loop Five-Gluon Scattering in QCD.

A unitarity compatible approach to one-loop amplitudes with massive fermions (2017)
Journal Article
Badger, S., Brønnum-Hansen, C., Buciuni, F., & O’Connell, D. (2017). A unitarity compatible approach to one-loop amplitudes with massive fermions. Journal of High Energy Physics, 2017(6), Article 141. https://doi.org/10.1007/jhep06%282017%29141

We explain how one-loop amplitudes with massive fermions can be computed using only on-shell information. We first use the spinor-helicity formalism in six dimensions to perform generalised unitarity cuts in d dimensions. We then show that divergent... Read More about A unitarity compatible approach to one-loop amplitudes with massive fermions.

Local integrands for two-loop all-plus Yang-Mills amplitudes (2016)
Journal Article
Badger, S., Mogull, G., & Peraro, T. (2016). Local integrands for two-loop all-plus Yang-Mills amplitudes. Journal of High Energy Physics, 2016(8), Article 63. https://doi.org/10.1007/jhep08%282016%29063

We express the planar five- and six-gluon two-loop Yang-Mills amplitudes with all positive helicities in compact analytic form using D-dimensional local integrands that are free of spurious singularities. The integrand is fixed from on-shell tree amp... Read More about Local integrands for two-loop all-plus Yang-Mills amplitudes.

A complete two-loop, five-gluon helicity amplitude in Yang-Mills theory (2015)
Journal Article
Badger, S., Mogull, G., Ochirov, A., & O’Connell, D. (2015). A complete two-loop, five-gluon helicity amplitude in Yang-Mills theory. Journal of High Energy Physics, 2015(10), Article 64. https://doi.org/10.1007/jhep10%282015%29064

We compute the integrand of the full-colour, two-loop, five-gluon scattering amplitude in pure Yang-Mills theory with all helicities positive, using generalized unitarity cuts. Tree-level BCJ relations, satisfied by amplitudes appearing in the cuts,... Read More about A complete two-loop, five-gluon helicity amplitude in Yang-Mills theory.

One-loop triple collinear splitting amplitudes in QCD (2015)
Journal Article
Badger, S., Buciuni, F., & Peraro, T. (2015). One-loop triple collinear splitting amplitudes in QCD. Journal of High Energy Physics, 2015(9), Article 188. https://doi.org/10.1007/jhep09%282015%29188

We study the factorisation properties of one-loop scattering amplitudes in the triple collinear limit and extract the universal splitting amplitudes for processes initiated by a gluon. The splitting amplitudes are derived from the analytic Higgs plus... Read More about One-loop triple collinear splitting amplitudes in QCD.

Next-to-leading order QCD corrections to di-photon production in association with up to three jets at the Large Hadron Collider (2014)
Journal Article
Badger, S., Guffanti, A., & Yundin, V. (2014). Next-to-leading order QCD corrections to di-photon production in association with up to three jets at the Large Hadron Collider. Journal of High Energy Physics, 2014(3), Article 122. https://doi.org/10.1007/jhep03%282014%29122

We present the computation of next-to-leading order (NLO) QCD corrections to di-photon production in association with two or three hard jets in pp collisions at a centre-of-mass energy of 8 TeV. The inclusion of NLO corrections is shown to substantia... Read More about Next-to-leading order QCD corrections to di-photon production in association with up to three jets at the Large Hadron Collider.