Ulrich Schubert
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Ulrich Schubert has a total of 9 co-authors. Here are the top co-authors by number of shared publications:
- Pierpaolo Mastrolia
Università di Padova
5 shared publications - Amedeo Primo
Dipartimento di Fisica ed Astronomia Università di Padova Via Marzolo 8 35131 Padova Italy
4 shared publications - Stefano Di Vita
INFN Sezione di Milano via Celoria 16 20133 Milano Italy
3 shared publications - Frank Petriello
High Energy Physics Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
2 shared publications - Hongxi Xing
High Energy Physics Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
2 shared publications - Massimo Passera
INFN Sezione di Padova via Marzolo 8 35131 Padova Italy
2 shared publications
Latest Publications
- Open AccessMaster integrals for the NNLO virtual corrections to $μe$ scattering in QED: the planar graphs
We evaluate the master integrals for the two-loop, planar box-diagrams contributing to the elastic scattering of muons and electrons at next-to-next-to leading-order in QED. We adopt the method of differential equations and the Magnus exponential series to determine a canonical set of integrals, finally expressed as a Taylor series around four space-time dimensions, with coefficients written as combination of generalised polylogarithms. The electron is treated as massless, while we retain full dependence on the muon mass. The considered integrals are also relevant for crossing-related processes, such as di-muon production at $e^+ e^-$-colliders, as well as for the QCD corrections to $top$-pair production at hadron colliders.
Open AccessMaster integrals for the NNLO virtual corrections to $μe$ scattering in QED: the planar graphsWe evaluate the master integrals for the two-loop, planar box-diagrams contributing to the elastic scattering of muons and electrons at next-to-next-to leading-order in QED. We adopt the method of differential equations and the Magnus exponential series to determine a canonical set of integrals, finally expressed as a Taylor series around four space-time dimensions, with coefficients written as combination of generalised polylogarithms. The electron is treated as massless, while we retain full dependence on the muon mass. The considered integrals are also relevant for crossing-related processes, such as di-muon production at $e^+ e^-$-colliders, as well as for the QCD corrections to $top$-pair production at hadron colliders.
- Open AccessMaster integrals for the NNLO virtual corrections to $μe$ scattering in QED: the non-planar graphsWe evaluate the master integrals for the two-loop non-planar box-diagrams contributing to the elastic scattering of muons and electrons at next-to-next-to-leading order in QED. We adopt the method of differential equations and the Magnus exponential to determine a canonical set of integrals, finally expressed as a Taylor series around four space-time dimensions, with coefficients written as a combination of generalised polylogarithms. The electron is treated as massless, while we retain full dependence on the muon mass. The considered integrals are also relevant for crossing-related processes, such as di-muon production at $e^+e^-$ colliders, as well as for the QCD corrections to top-pair production at hadron colliders. In particular, our results, together with the planar master integrals recently computed, represent the complete set of functions needed for the evaluation of the photonic two-loop virtual next-to-next-to-leading order QED corrections to $\mu e \to \mu e$ and $e^+ e^-\to\mu^+\mu^-$.Open AccessMaster integrals for the NNLO virtual corrections to $μe$ scattering in QED: the non-planar graphsWe evaluate the master integrals for the two-loop non-planar box-diagrams contributing to the elastic scattering of muons and electrons at next-to-next-to-leading order in QED. We adopt the method of differential equations and the Magnus exponential to determine a canonical set of integrals, finally expressed as a Taylor series around four space-time dimensions, with coefficients written as a combination of generalised polylogarithms. The electron is treated as massless, while we retain full dependence on the muon mass. The considered integrals are also relevant for crossing-related processes, such as di-muon production at $e^+e^-$ colliders, as well as for the QCD corrections to top-pair production at hadron colliders. In particular, our results, together with the planar master integrals recently computed, represent the complete set of functions needed for the evaluation of the photonic two-loop virtual next-to-next-to-leading order QED corrections to $\mu e \to \mu e$ and $e^+ e^-\to\mu^+\mu^-$.
- Open Access
- 29 November 2017
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2017 (11) , 198
Master integrals for the NNLO virtual corrections to μe scattering in QED: the planar graphs
We evaluate the master integrals for the two-loop, planar box-diagrams contributing to the elastic scattering of muons and electrons at next-to-next-to leading-order in QED. We adopt the method of differential equations and the Magnus exponential series to determine a canonical set of integrals, finally expressed as a Taylor series around four space-time dimensions, with coefficients written as combination of generalised polylogarithms. The electron is treated as massless, while we retain full dependence on the muon mass. The considered integrals are also relevant for crossing-related processes, such as di-muon production ate+e−-colliders, as well as for the QCD corrections totop-pair production at hadron colliders.
- 29 November 2017
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2017 (11) , 198
Open AccessMaster integrals for the NNLO virtual corrections to μe scattering in QED: the planar graphs
We evaluate the master integrals for the two-loop, planar box-diagrams contributing to the elastic scattering of muons and electrons at next-to-next-to leading-order in QED. We adopt the method of differential equations and the Magnus exponential series to determine a canonical set of integrals, finally expressed as a Taylor series around four space-time dimensions, with coefficients written as combination of generalised polylogarithms. The electron is treated as massless, while we retain full dependence on the muon mass. The considered integrals are also relevant for crossing-related processes, such as di-muon production ate+e−-colliders, as well as for the QCD corrections totop-pair production at hadron colliders.
- Open Access
- 3 August 2017
- Published by American Physical Society (APS) in Physical Review D
- Vol. 96 (3) , 034001
Spin-dependent quark beam function at NNLO
We calculate the beam function for longitudinally polarized quarks through next-to-next-to-leading order (NNLO) in QCD perturbation theory. This is the last missing ingredient needed to apply the factorization theorem for the -jettiness event-shape variable in a variety of polarized collisions through the NNLO level. We present all technical details of our derivation. As a by-product of our calculation we provide the first independent check of the previously obtained unpolarized quark beam function. We anticipate that our result will have phenomenological applications in describing data from polarized collisions.- 3 August 2017
- Published by American Physical Society (APS) in Physical Review D
- Vol. 96 (3) , 034001
Open AccessSpin-dependent quark beam function at NNLO
We calculate the beam function for longitudinally polarized quarks through next-to-next-to-leading order (NNLO) in QCD perturbation theory. This is the last missing ingredient needed to apply the factorization theorem for the -jettiness event-shape variable in a variety of polarized collisions through the NNLO level. We present all technical details of our derivation. As a by-product of our calculation we provide the first independent check of the previously obtained unpolarized quark beam function. We anticipate that our result will have phenomenological applications in describing data from polarized collisions. - Open Access
The spin-dependent quark beam function at NNLO
We calculate the beam function for longitudinally-polarized quarks through next-to-next-to-leading order (NNLO) in QCD perturbation theory. This is the last missing ingredient needed to apply the factorization theorem for the $N$-jettiness event-shape variable in polarized collisions through the NNLO level. We present all technical details of our derivation. As a by-product of our calculation we provide the first independent check of the previously-obtained unpolarized quark beam function. We anticipate that our result will have phenomenological applications in describing data from polarized collisions.
Open AccessThe spin-dependent quark beam function at NNLO
We calculate the beam function for longitudinally-polarized quarks through next-to-next-to-leading order (NNLO) in QCD perturbation theory. This is the last missing ingredient needed to apply the factorization theorem for the $N$-jettiness event-shape variable in polarized collisions through the NNLO level. We present all technical details of our derivation. As a by-product of our calculation we provide the first independent check of the previously-obtained unpolarized quark beam function. We anticipate that our result will have phenomenological applications in describing data from polarized collisions.
- Open Access
- 3 April 2017
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2017 (4) , 8
Two-loop master integrals for the leading QCD corrections to the Higgs coupling to a W pair and to the triple gauge couplings ZW W and γ∗ W W
- 3 April 2017
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2017 (4) , 8
Open AccessTwo-loop master integrals for the leading QCD corrections to the Higgs coupling to a W pair and to the triple gauge couplings ZW W and γ∗ W W
- Open AccessTwo-loop master integrals for the leading QCD corrections to the Higgs coupling to a $W$ pair and to the triple gauge couplings $ZWW$ and $γ^*WW$We compute the two-loop master integrals required for the leading QCD corrections to the interaction vertex of a massive neutral boson $X^0$, e.g. $H,Z$ or $\gamma^{*}$, with a pair of $W$ bosons, mediated by a $SU(2)_L$ quark doublet composed of one massive and one massless flavor. All the external legs are allowed to have arbitrary invariant masses. The Magnus exponential is employed to identify a set of master integrals that, around $d=4$ space-time dimensions, obey a canonical system of differential equations. The canonical master integrals are given as a Taylor series in $\epsilon = (4-d)/2$, up to order four, with coefficients written as combination of Goncharov polylogarithms, respectively up to weight four. In the context of the Standard Model, our results are relevant for the mixed EW-QCD corrections to the Higgs decay to a $W$ pair, as well as to the production channels obtained by crossing, and to the triple gauge boson vertices $ZWW$ and $\gamma^*WW$.Open AccessTwo-loop master integrals for the leading QCD corrections to the Higgs coupling to a $W$ pair and to the triple gauge couplings $ZWW$ and $γ^*WW$We compute the two-loop master integrals required for the leading QCD corrections to the interaction vertex of a massive neutral boson $X^0$, e.g. $H,Z$ or $\gamma^{*}$, with a pair of $W$ bosons, mediated by a $SU(2)_L$ quark doublet composed of one massive and one massless flavor. All the external legs are allowed to have arbitrary invariant masses. The Magnus exponential is employed to identify a set of master integrals that, around $d=4$ space-time dimensions, obey a canonical system of differential equations. The canonical master integrals are given as a Taylor series in $\epsilon = (4-d)/2$, up to order four, with coefficients written as combination of Goncharov polylogarithms, respectively up to weight four. In the context of the Standard Model, our results are relevant for the mixed EW-QCD corrections to the Higgs decay to a $W$ pair, as well as to the production channels obtained by crossing, and to the triple gauge boson vertices $ZWW$ and $\gamma^*WW$.