Publications
2025
Graded transcendental functions: an application to four-point amplitudes with one off-shell leg
Gehrmann, T., Henn, J., Jakubčík, P., Lim, J., Mella, C. C., Syrrakos, N., . . . Torres Bobadilla, W. J. (2024). Graded transcendental functions: an application to four-point amplitudes with one off-shell leg. Journal of High Energy Physics, 2024(12). doi:10.1007/jhep12(2024)215
Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in $e^+ e^-$ collisions
Aliberti, R., Beltrame, P., Budassi, E., Carloni Calame, C., Colangelo, G., Cotrozzi, L., . . . Venanzoni, G. (2025). Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in $e^+ e^-$ collisions. SciPost Physics Community Reports. doi:10.21468/scipostphyscommrep.9
Analytic evaluation of the three-loop three-point form factor of tr ϕ3 in $$ \mathcal{N} $$ = 4 sYM
Henn, J. M., Lim, J., & Torres Bobadilla, W. J. (2025). Analytic evaluation of the three-loop three-point form factor of tr ϕ3 in $$ \mathcal{N} $$ = 4 sYM. Journal of High Energy Physics, 2025(2). doi:10.1007/jhep02(2025)085
Helicity amplitudes in massless QED to higher orders in the dimensional regulator
Dave, T., & Torres Bobadilla, W. J. (2025). Helicity amplitudes in massless QED to higher orders in the dimensional regulator. Physical Review D, 111(3). doi:10.1103/physrevd.111.036024
Vacuum amplitudes and time-like causal unitary in the loop-tree duality
Ramírez-Uribe, S., Rentería-Olivo, A. E., Rentería-Estrada, D. F., Martínez de Lejarza, J. J., Dhani, P. K., Cieri, L., . . . Rodrigo, G. (2025). Vacuum amplitudes and time-like causal unitary in the loop-tree duality. Journal of High Energy Physics, 2025(1). doi:10.1007/jhep01(2025)103
2024
Landau and leading singularities in arbitrary space-time dimensions
Flieger, W., & Torres Bobadilla, W. J. (2024). Landau and leading singularities in arbitrary space-time dimensions. The European Physical Journal Plus, 139(11). doi:10.1140/epjp/s13360-024-05796-7
2023
First look at the evaluation of three-loop non-planar Feynman diagrams for Higgs plus jet production
Henn, J. M., Lim, J., & Torres Bobadilla, W. J. (2023). First look at the evaluation of three-loop non-planar Feynman diagrams for Higgs plus jet production. Journal of High Energy Physics, 2023(5). doi:10.1007/jhep05(2023)026
Muon-electron scattering at NNLO
Broggio, A., Engel, T., Ferroglia, A., Mandal, M. K., Mastrolia, P., Rocco, M., . . . Zoller, M. (2023). Muon-electron scattering at NNLO. Journal of High Energy Physics, 2023(1). doi:10.1007/jhep01(2023)112
2022
Two-loop QED corrections to the di-muon production in e+ e- collisions, and related processes
Ronca, J., Mandal, M. K., Mastrolia, P., & Torres Bobadilla, W. J. (2022). Two-loop QED corrections to the di-muon production in e+ e- collisions, and related processes. In Proceedings of 41st International Conference on High Energy physics — PoS(ICHEP2022) (pp. 889). Sissa Medialab. doi:10.22323/1.414.0889
Two-loop scattering amplitude for heavy-quark pair production through light-quark annihilation in QCD
Mandal, M. K., Mastrolia, P., Ronca, J., & Torres Bobadilla, W. J. (2022). Two-loop scattering amplitude for heavy-quark pair production through light-quark annihilation in QCD. Journal of High Energy Physics, 2022(9). doi:10.1007/jhep09(2022)129
Physical representations for scattering amplitudes and the wavefunction of the universe
Benincasa, P., & Torres Bobadilla, W. J. (2022). Physical representations for scattering amplitudes and the wavefunction of the universe. SciPost Physics, 12(6). doi:10.21468/scipostphys.12.6.192
All loop causal representation of scattering amplitudes
Torres Bobadilla, W. J. (2022). All loop causal representation of scattering amplitudes. In Proceedings of The European Physical Society Conference on High Energy Physics — PoS(EPS-HEP2021) (pp. 419). Sissa Medialab. doi:10.22323/1.398.0419
Maximal transcendental weight contribution of scattering amplitudes
Henn, J. M., & Torres Bobadilla, W. J. (2022). Maximal transcendental weight contribution of scattering amplitudes. Journal of High Energy Physics, 2022(3). doi:10.1007/jhep03(2022)174
Four-loop scattering amplitudes journey into the forest
Ramírez Uribe, N. S., Ramírez-Uribe, S., Hernández-Pinto, R. J., Rentería-Olivo, A. E., Rodrigo, G., Sborlini, G., . . . Silva, L. V. (2022). Four-loop scattering amplitudes journey into the forest. In Proceedings of The European Physical Society Conference on High Energy Physics — PoS(EPS-HEP2021) (pp. 732). Sissa Medialab. doi:10.22323/1.398.0732
Two-Loop Four-Fermion Scattering Amplitude in QED.
Bonciani, R., Broggio, A., Di Vita, S., Ferroglia, A., Mandal, M. K., Mastrolia, P., . . . Tramontano, F. (2022). Two-Loop Four-Fermion Scattering Amplitude in QED.. Physical review letters, 128(2), 022002. doi:10.1103/physrevlett.128.022002
Interplay between the loop-tree duality and helicity amplitudes
Driencourt-Mangin, F., Rodrigo, G., Sborlini, G. F. R., & Torres Bobadilla, W. J. (2022). Interplay between the loop-tree duality and helicity amplitudes. Physical Review D, 105(1). doi:10.1103/physrevd.105.016012
2021
A Stroll through the Loop-Tree Duality
Aguilera-Verdugo, J. D. J., Driencourt-Mangin, F., Hernández-Pinto, R. J., Plenter, J., Prisco, R. M., Ramírez-Uribe, N. S., . . . Tramontano, F. (2021). A Stroll through the Loop-Tree Duality. Symmetry, 13(6), 1029. doi:10.3390/sym13061029
Loop-tree duality from vertices and edges
Torres Bobadilla, W. J. (2021). Loop-tree duality from vertices and edges. Journal of High Energy Physics, 2021(4). doi:10.1007/jhep04(2021)183
Universal opening of four-loop scattering amplitudes to trees
Ramírez-Uribe, S., Hernández-Pinto, R. J., Rodrigo, G., Sborlini, G. F. R., & Torres Bobadilla, W. J. (2021). Universal opening of four-loop scattering amplitudes to trees. Journal of High Energy Physics, 2021(4). doi:10.1007/jhep04(2021)129
May the four be with you: novel IR-subtraction methods to tackle NNLO calculations
Torres Bobadilla, W. J., Sborlini, G. F. R., Banerjee, P., Catani, S., Cherchiglia, A. L., Cieri, L., . . . Ulrich, Y. (2021). May the four be with you: novel IR-subtraction methods to tackle NNLO calculations. The European Physical Journal C, 81(3). doi:10.1140/epjc/s10052-021-08996-y
Efficient resummation of high post-Newtonian contributions to the binding energy
Foffa, S., Sturani, R., & Torres Bobadilla, W. J. (2021). Efficient resummation of high post-Newtonian contributions to the binding energy. Journal of High Energy Physics, 2021(2). doi:10.1007/jhep02(2021)165
Mathematical properties of nested residues and their application to multi-loop scattering amplitudes
Aguilera-Verdugo, J. J., Hernández-Pinto, R. J., Rodrigo, G., Sborlini, G. F. R., & Torres Bobadilla, W. J. (2021). Mathematical properties of nested residues and their application to multi-loop scattering amplitudes. Journal of High Energy Physics, 2021(2). doi:10.1007/jhep02(2021)112
Causal representation of multi-loop Feynman integrands within the loop-tree duality
Aguilera-Verdugo, J. J., Hernández-Pinto, R. J., Rodrigo, G., Sborlini, G. F. R., & Torres Bobadilla, W. J. (2021). Causal representation of multi-loop Feynman integrands within the loop-tree duality. Journal of High Energy Physics, 2021(1). doi:10.1007/jhep01(2021)069
2020
Recent advances in the $\mu\!-\!e$ scattering amplitude at NNLO in QED
Torres Bobadilla, W. J. (2020). Recent advances in the $\mu\!-\!e$ scattering amplitude at NNLO in QED. In Proceedings of European Physical Society Conference on High Energy Physics — PoS(EPS-HEP2019) (pp. 676). Sissa Medialab. doi:10.22323/1.364.0676
Mathematical aspects of the scattering amplitude for $H\to gg$ within the loop-tree duality
Torres Bobadilla, W. J. (2020). Mathematical aspects of the scattering amplitude for $H\to gg$ within the loop-tree duality. In Proceedings of European Physical Society Conference on High Energy Physics — PoS(EPS-HEP2019) (pp. 545). Sissa Medialab. doi:10.22323/1.364.0545
Theory for muon-electron scattering @ 10 ppm
Banerjee, P., Carloni Calame, C. M., Chiesa, M., Di Vita, S., Engel, T., Fael, M., . . . Venanzoni, G. (2020). Theory for muon-electron scattering @ 10 ppm. The European Physical Journal C, 80(6). doi:10.1140/epjc/s10052-020-8138-9
2019
Calculating the static gravitational two-body potential to fifth post-Newtonian order with Feynman diagrams
Sturm, C., Foffa, S., Mastrolia, P., Sturani, R., & Torres Bobadilla, W. J. (2019). Calculating the static gravitational two-body potential to fifth post-Newtonian order with Feynman diagrams. In Proceedings of 14th International Symposium on Radiative Corrections — PoS(RADCOR2019) (pp. 027). Sissa Medialab. doi:10.22323/1.375.0027
Causality, unitarity thresholds, anomalous thresholds and infrared singularities from the loop-tree duality at higher orders
Aguilera-Verdugo, J. J., Driencourt-Mangin, F., Plenter, J., Ramírez-Uribe, S., Rodrigo, G., Sborlini, G. F. R., . . . Tracz, S. (2019). Causality, unitarity thresholds, anomalous thresholds and infrared singularities from the loop-tree duality at higher orders. Journal of High Energy Physics, 2019(12). doi:10.1007/jhep12(2019)163
Static Two-Body Potential at Fifth Post-Newtonian Order.
Foffa, S., Mastrolia, P., Sturani, R., Sturm, C., & Torres Bobadilla, W. J. (2019). Static Two-Body Potential at Fifth Post-Newtonian Order.. Physical review letters, 122(24), 241605. doi:10.1103/physrevlett.122.241605
Theory for the FCC-ee : Report on the 11th FCC-ee Workshop
Blondel, A., Gluza, J., Jadach, S., Janot, P., Riemann, T., Abreu, S., . . . Zurita, J. (2019). Theory for the FCC-ee : Report on the 11th FCC-ee Workshop. Retrieved from http://dx.doi.org/10.23731/CYRM-2020-003.
Universal four-dimensional representation of H → γγ at two loops through the Loop-Tree Duality
Driencourt-Mangin, F., Rodrigo, G., Sborlini, G. F. R., & Torres Bobadilla, W. J. (2019). Universal four-dimensional representation of H → γγ at two loops through the Loop-Tree Duality. Journal of High Energy Physics, 2019(2). doi:10.1007/jhep02(2019)143
2018
On the Adaptive Integrand Decomposition of Two-loop Scattering Amplitudes
Torres Bobadilla, W. J. (2018). On the Adaptive Integrand Decomposition of Two-loop Scattering Amplitudes. In Proceedings of Loops and Legs in Quantum Field Theory — PoS(LL2018) (pp. 036). Sissa Medialab. doi:10.22323/1.303.0036
On μe-scattering at NNLO in QED
Mastrolia, P., Passera, M., Primo, A., Schubert, U., & Torres Bobadilla, W. J. (2018). On μe-scattering at NNLO in QED. In G. D’Ambrosio, M. Iacovacci, S. Mastroianni, M. Passera, & G. Venanzoni (Eds.), EPJ Web of Conferences Vol. 179 (pp. 01014). EDP Sciences. doi:10.1051/epjconf/201817901014
Interplay of colour kinematics duality and analytic calculation of multi-loop scattering amplitudes: one and two loops
Torres Bobadilla, W. J. (2018). Interplay of colour kinematics duality and analytic calculation of multi-loop scattering amplitudes: one and two loops. In Proceedings of 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology) — PoS(RADCOR2017) (pp. 082). Sissa Medialab. doi:10.22323/1.290.0082
2017
From Jacobi off-shell currents to integral relations
Jurado, J. L., Rodrigo, G., & Torres Bobadilla, W. J. (2017). From Jacobi off-shell currents to integral relations. Journal of High Energy Physics, 2017(12). doi:10.1007/jhep12(2017)122
2016
Generalised unitarity for dimensionally regulated amplitudes within FDF
Torres Bobadilla, W. J. (2016). Generalised unitarity for dimensionally regulated amplitudes within FDF. In Proceedings of 12th International Symposium on Radiative Corrections (Radcor 2015) and LoopFest XIV (Radiative Corrections for the LHC and Future Colliders) — PoS(RADCOR2015) (pp. 063). Sissa Medialab. doi:10.22323/1.235.0063
BCJ identities and d-dimensional generalized unitarity
Primo, A., & Torres Bobadilla, W. J. (2016). BCJ identities and d-dimensional generalized unitarity. Journal of High Energy Physics, 2016(4), 1-30. doi:10.1007/jhep04(2016)125
Off-shell currents and color–kinematics duality
Mastrolia, P., Primo, A., Schubert, U., & Torres Bobadilla, W. J. (2016). Off-shell currents and color–kinematics duality. Physics Letters B, 753, 242-262. doi:10.1016/j.physletb.2015.11.084
2015
Subleading soft behavior of QCD amplitudes
Luo, H., Mastrolia, P., & Torres Bobadilla, W. J. (2015). Subleading soft behavior of QCD amplitudes. Physical Review D, 91(6). doi:10.1103/physrevd.91.065018
Generalised Unitarity for Dimensionally Regulated Amplitudes
Torres Bobadilla, W. J., Fazio, A. R., Mastrolia, P., & Mirabella, E. (2015). Generalised Unitarity for Dimensionally Regulated Amplitudes. In Nuclear and Particle Physics Proceedings Vol. 267-269 (pp. 150-157). doi:10.1016/j.nuclphysbps.2015.10.095
Generalised Unitarity for Dimensionally Regulated Amplitudes
Torres Bobadilla, W. J., Fazio, A. R., Mastrolia, P., & Mirabella, E. (2015). Generalised Unitarity for Dimensionally Regulated Amplitudes. In Nuclear and Particle Physics Proceedings Vol. 267-269 (pp. 150-157). Elsevier BV. doi:10.1016/j.nuclphysbps.2015.10.095
2014
On the four-dimensional formulation of dimensionally regulated amplitudes
Fazio, A. R., Mastrolia, P., Mirabella, E., & Torres Bobadilla, W. J. (2014). On the four-dimensional formulation of dimensionally regulated amplitudes. The European Physical Journal C, 74(12). doi:10.1140/epjc/s10052-014-3197-4