WKWilliam B. Kilgore
William B. Kilgore
*This is an algorithmically generated author record based on publicly available information.
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
William B. Kilgore has a total of 17 co-authors. Here are the top co-authors by number of shared publications:
- Robert V. Harlander
RWTH Aachen University
7 shared publications - Carl Schmidt
Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA
3 shared publications - Dieter Zeppenfeld
Department of Physics, University of Wisconsin, Madison, WI, USA
3 shared publications - Vittorio Del Duca
Istituto Nazionale di Fisica Nucleare, Sez. di Torino via P. Giuria 1 -10125 Torino Italy
3 shared publications - Alexander Hasselhuhn
Institut für Theoretische Teilchenphysik, Karlsruhe Institute of Technology (KIT)
1 shared publication - C. Oleari
Department of Physics University of Durham DH1 3LE Durham England
1 shared publication
Latest Publications
- Open Access
- 27 July 2015
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2015 (7) , 140
Exact N3LO results for qq′ → H + X
- 27 July 2015
- Published by Springer Nature in Journal of High Energy Physics
- Vol. 2015 (7) , 140
Open AccessExact N3LO results for qq′ → H + X
- Open Access
- 20 August 2014
- Published by Sissa Medialab Srl
- Vol. 211, 046
One-loop Single Real Emission Contributions to Inclusive Higgs Production at NNNLO
- 20 August 2014
- Published by Sissa Medialab Srl
- Vol. 211, 046
Open AccessOne-loop Single Real Emission Contributions to Inclusive Higgs Production at NNNLO
- Open Access
One-loop Single Real Emission Contributions to Inclusive Higgs Production at NNNLO
I discuss the contributions of the one-loop single-real-emission amplitudes, $gg\to H g$, $qg\to H q$, etc. to inclusive Higgs boson production through next-to-next-to-next-to-leading order in the strong coupling.Open AccessOne-loop Single Real Emission Contributions to Inclusive Higgs Production at NNNLO
I discuss the contributions of the one-loop single-real-emission amplitudes, $gg\to H g$, $qg\to H q$, etc. to inclusive Higgs boson production through next-to-next-to-next-to-leading order in the strong coupling. - 8 April 2014
- Published by American Physical Society (APS) in Physical Review D
- Vol. 89 (7)
One-loop single-real-emission contributions toat next-to-next-to-next-to-leading orderI compute the contributions of the one-loop single-real-emission amplitudes, $gg$\rightarrow${}Hg$, $qg$\rightarrow${}Hq$, etc., to inclusive Higgs boson production through next-to-next-to-next-to-leading order (${\mathrm{N}}^{3}\mathrm{LO}$) in the strong coupling ${$\alpha${}}_{s}$. The next-to-leading and next-to-next-to-leading order terms are computed in closed form, in terms of $\mathrm{$\Gamma${}}$ functions and the hypergeometric functions $_{2}{F}_{1}$ and $_{3}{F}_{2}$. I compute the ${\mathrm{N}}^{3}\mathrm{LO}$ terms as Laurent expansions in the dimensional regularization parameter through order $({ϵ}^{1})$. To obtain the ${\mathrm{N}}^{3}\mathrm{LO}$ terms, I perform an extended threshold expansion of the phase space integrals and map the resulting coefficients onto a basis of harmonic polylogarithms.- 8 April 2014
- Published by American Physical Society (APS) in Physical Review D
- Vol. 89 (7)
One-loop single-real-emission contributions toat next-to-next-to-next-to-leading orderI compute the contributions of the one-loop single-real-emission amplitudes, $gg$\rightarrow${}Hg$, $qg$\rightarrow${}Hq$, etc., to inclusive Higgs boson production through next-to-next-to-next-to-leading order (${\mathrm{N}}^{3}\mathrm{LO}$) in the strong coupling ${$\alpha${}}_{s}$. The next-to-leading and next-to-next-to-leading order terms are computed in closed form, in terms of $\mathrm{$\Gamma${}}$ functions and the hypergeometric functions $_{2}{F}_{1}$ and $_{3}{F}_{2}$. I compute the ${\mathrm{N}}^{3}\mathrm{LO}$ terms as Laurent expansions in the dimensional regularization parameter through order $({ϵ}^{1})$. To obtain the ${\mathrm{N}}^{3}\mathrm{LO}$ terms, I perform an extended threshold expansion of the phase space integrals and map the resulting coefficients onto a basis of harmonic polylogarithms.- Open AccessOne-Loop Single-Real-Emission Contributions to $pp\to H + X$ at Next-to-Next-to-Next-to-Leading OrderI compute the contributions of the one-loop single-real-emission amplitudes, $gg\to H g$, $qg\to H q$, etc., to inclusive Higgs boson production through next-to-next-to-next-to-leading order (N^3LO) in the strong coupling $\alpha_s$. The next-to-leading (NLO) and next-to-next-to-leading order (NNLO) terms are computed in closed form, in terms of $\Gamma$-functions and the hypergeometric functions ${}_{2}F_{1}$ and ${}_{3}F_{2}$. I compute the \nnnlo\ terms as Laurent expansions in the dimensional regularization parameter through order $(\epsilon^{1})$. To obtain the \nnnlo\ terms, I perform an extended threshold expansion of the phase space integrals and map the resulting coefficients onto a basis of harmonic polylogarithms.Open AccessOne-Loop Single-Real-Emission Contributions to $pp\to H + X$ at Next-to-Next-to-Next-to-Leading OrderI compute the contributions of the one-loop single-real-emission amplitudes, $gg\to H g$, $qg\to H q$, etc., to inclusive Higgs boson production through next-to-next-to-next-to-leading order (N^3LO) in the strong coupling $\alpha_s$. The next-to-leading (NLO) and next-to-next-to-leading order (NNLO) terms are computed in closed form, in terms of $\Gamma$-functions and the hypergeometric functions ${}_{2}F_{1}$ and ${}_{3}F_{2}$. I compute the \nnnlo\ terms as Laurent expansions in the dimensional regularization parameter through order $(\epsilon^{1})$. To obtain the \nnnlo\ terms, I perform an extended threshold expansion of the phase space integrals and map the resulting coefficients onto a basis of harmonic polylogarithms.
- 25 October 2013
- Published by Springer Nature in The European Physical Journal C
- Vol. 73 (10) , 1-8
The two-loop infrared structure of amplitudes with mixed gauge groups
- 25 October 2013
- Published by Springer Nature in The European Physical Journal C
- Vol. 73 (10) , 1-8
The two-loop infrared structure of amplitudes with mixed gauge groups
- Open Access
The Two-Loop Infrared Structure of Amplitudes with Mixed Gauge Groups
The infrared structure of (multi-loop) scattering amplitudes is determined entirely by the identities of the external particles participating in the scattering. The two-loop infrared structure of pure \qcd\ amplitudes has been known for some time. By computing the two-loop amplitudes for $\bar{f}\,f\longrightarrow X$ and $\bar{f}\,f\longrightarrow V_1\,V_2$ scattering in an $SU(N)\times SU(M)\times U(1)$ gauge theory, I determine the anomalous dimensions which govern the infrared structure for any massless two-loop amplitude.Open AccessThe Two-Loop Infrared Structure of Amplitudes with Mixed Gauge Groups
The infrared structure of (multi-loop) scattering amplitudes is determined entirely by the identities of the external particles participating in the scattering. The two-loop infrared structure of pure \qcd\ amplitudes has been known for some time. By computing the two-loop amplitudes for $\bar{f}\,f\longrightarrow X$ and $\bar{f}\,f\longrightarrow V_1\,V_2$ scattering in an $SU(N)\times SU(M)\times U(1)$ gauge theory, I determine the anomalous dimensions which govern the infrared structure for any massless two-loop amplitude. - Open Access
- 19 July 2012
- Published by American Physical Society (APS) in Physical Review D
- Vol. 86 (1)
Four dimensional helicity scheme beyond one loop
I describe a procedure by which one can transform scattering amplitudes computed in the four-dimensional helicity scheme into properly renormalized amplitudes in the 't Hooft-Veltman scheme. I describe a new renormalization program, based upon that of the dimensional reduction scheme and explain how to remove both finite and infrared-singular contributions of the evanescent degrees of freedom to the scattering amplitude.
- 19 July 2012
- Published by American Physical Society (APS) in Physical Review D
- Vol. 86 (1)
Open AccessFour dimensional helicity scheme beyond one loop
I describe a procedure by which one can transform scattering amplitudes computed in the four-dimensional helicity scheme into properly renormalized amplitudes in the 't Hooft-Veltman scheme. I describe a new renormalization program, based upon that of the dimensional reduction scheme and explain how to remove both finite and infrared-singular contributions of the evanescent degrees of freedom to the scattering amplitude.
- 21 June 2012
- Published by IOP Publishing in Journal of Physics: Conference Series
- Vol. 368 (1) , 012059
Regularization schemes and higher order corrections
I apply commonly used regularization schemes to a multiloop calculation to examine the properties of the schemes at higher orders. I find complete consistency between the conventional dimensional regularization scheme and dimensional reduction, but I find that the four-dimensional helicity scheme produces incorrect results at next-to-next-to-leading order and singular results at next-to-next-to-next-to-leading order. It is not, therefore, a unitary regularization scheme.
- 21 June 2012
- Published by IOP Publishing in Journal of Physics: Conference Series
- Vol. 368 (1) , 012059
Regularization schemes and higher order corrections
I apply commonly used regularization schemes to a multiloop calculation to examine the properties of the schemes at higher orders. I find complete consistency between the conventional dimensional regularization scheme and dimensional reduction, but I find that the four-dimensional helicity scheme produces incorrect results at next-to-next-to-leading order and singular results at next-to-next-to-next-to-leading order. It is not, therefore, a unitary regularization scheme.
- Open Access
- 14 February 2012
- Published by American Physical Society (APS) in Physical Review D
- Vol. 85 (3)
Two-loop virtual corrections to Drell-Yan production at orderThe Drell-Yan mechanism for the production of lepton pairs is one of the most basic processes for physics studies at hadron colliders. It is therefore important to have accurate theoretical predictions. In this work we compute the two-loop virtual mixed $\mathrm{QCD}\ifmmode\times\else\texttimes\fi{}\mathrm{QED}$ corrections to Drell-Yan production. We evaluate the Feynman diagrams by decomposing the amplitudes into a set of known master integrals and their coefficients, which allows us to derive an analytical result. We also perform a detailed study of the ultraviolet and infrared structure of the two-loop amplitude and the corresponding poles in $$\epsilon${}$. Using crossing symmetry, we also determine the corresponding two-loop result for deep inelastic scattering.- 14 February 2012
- Published by American Physical Society (APS) in Physical Review D
- Vol. 85 (3)
Open AccessTwo-loop virtual corrections to Drell-Yan production at orderThe Drell-Yan mechanism for the production of lepton pairs is one of the most basic processes for physics studies at hadron colliders. It is therefore important to have accurate theoretical predictions. In this work we compute the two-loop virtual mixed $\mathrm{QCD}\ifmmode\times\else\texttimes\fi{}\mathrm{QED}$ corrections to Drell-Yan production. We evaluate the Feynman diagrams by decomposing the amplitudes into a set of known master integrals and their coefficients, which allows us to derive an analytical result. We also perform a detailed study of the ultraviolet and infrared structure of the two-loop amplitude and the corresponding poles in $$\epsilon${}$. Using crossing symmetry, we also determine the corresponding two-loop result for deep inelastic scattering.