Parameter Distribution

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Iain W. Stewart - One of the best experts on this subject based on the ideXlab platform.

  • $C$-Parameter Distribution at N$^3$LL′ including power corrections
    Physical Review D, 2015
    Co-Authors: Andre H. Hoang, Daniel W. Kolodrubetz, Vicent Mateu, Iain W. Stewart
    Abstract:

    We compute the e[superscript +]e[superscript -] C-Parameter Distribution using the soft-collinear effective theory with a resummation to next-to-next-to-next-to-leading-log prime accuracy of the most singular partonic terms. This includes the known fixed-order QCD results up to O(α[3 over s]), a numerical determination of the two-loop nonlogarithmic term of the soft function, and all logarithmic terms in the jet and soft functions up to three loops. Our result holds for C in the peak, tail, and far tail regions. Additionally, we treat hadronization effects using a field theoretic nonperturbative soft function, with moments Ω[subscript n]. To eliminate an O(Λ[subscript QCD]) renormalon ambiguity in the soft function, we switch from the [bar over MS] to a short distance “Rgap” scheme to define the leading power correction Parameter Ω[subscript 1]. We show how to simultaneously account for running effects in Ω[subscript 1] due to renormalon subtractions and hadron-mass effects, enabling power correction universality between C-Parameter and thrust to be tested in our setup. We discuss in detail the impact of resummation and renormalon subtractions on the convergence. In the relevant fit region for α[subscript s](m[subscript Z]) and Ω[subscript 1], the perturbative uncertainty in our cross section is ≃ 2.5% at Q = m[subscript Z].United States. Dept. of Energy. Office of Nuclear Physics (Contract DE-SC0011090)European Community. Marie-Curie Research Networks (Contract PITN-GA-2010-264564 (LHCphenOnet))Simons Foundation (Investigator Grant 327942

  • Precise determination of $\alpha_s$ from the $C$-Parameter Distribution
    Physical Review D, 2015
    Co-Authors: Andre H. Hoang, Daniel W. Kolodrubetz, Vicent Mateu, Iain W. Stewart
    Abstract:

    nal states coming from the underlying partons created in the collisions appear as boosted and collimated groups of hadrons known as jets. Event shapes have proven to be very successful to study these collisions quantitatively. They combine the energy and momenta of all of the measured hadrons into an infraredand collinear-safe Parameter which describes the geometric properties of the whole event by a single variable Distribution. Due to their global nature event shapes have nice theoretical properties, making it possible to obtain very accurate theoretical predictions using QCD. Most e + e event shape variables quantify how well the event resembles the situation of two narrow back-to-back jets, called dijets, by vanishing in this limit. Because the dijet limit involves restrictions that only allow collinear and soft degrees of freedom for the nal-state radiation, such

  • c Parameter Distribution at n 3 ll including power corrections
    Physical Review D, 2015
    Co-Authors: Andre H. Hoang, Daniel W. Kolodrubetz, Vicent Mateu, Iain W. Stewart
    Abstract:

    the leading power correction Parameter 1. We show how to simultaneously account for running eects in 1 due to renormalon subtractions and hadron-mass eects, enabling power correction universality between C-Parameter and thrust to be tested in our setup. We discuss in detail the impact of resummation and renormalon subtractions on the convergence. In the relevant t region for

  • precise determination of α s from the c Parameter Distribution
    Physical Review D, 2015
    Co-Authors: Andre H. Hoang, Daniel W. Kolodrubetz, Vicent Mateu, Iain W. Stewart
    Abstract:

    We present a global fit for ${\ensuremath{\alpha}}_{s}({m}_{Z})$, analyzing the available $C$-Parameter data measured at center-of-mass energies between $Q=35$ and 207 GeV. The experimental data is compared to a ${\mathrm{N}}^{3}{\mathrm{LL}}^{\ensuremath{'}}+\mathcal{O}({\ensuremath{\alpha}}_{s}^{3})+{\mathrm{\ensuremath{\Omega}}}_{1}$ theoretical prediction (up to the missing four-loop cusp anomalous dimension), which includes power corrections coming from a field-theoretical nonperturbative soft function. The dominant hadronic Parameter is its first moment ${\mathrm{\ensuremath{\Omega}}}_{1}$, which is defined in a scheme which eliminates the $\mathcal{O}({\mathrm{\ensuremath{\Lambda}}}_{\mathrm{QCD}})$ renormalon ambiguity. The resummation region plays a dominant role in the $C$-Parameter spectrum, and in this region a fit for ${\ensuremath{\alpha}}_{s}({m}_{Z})$ and ${\mathrm{\ensuremath{\Omega}}}_{1}$ is sufficient. We find ${\ensuremath{\alpha}}_{s}({m}_{Z})=0.1123\ifmmode\pm\else\textpm\fi{}0.0015$ and ${\mathrm{\ensuremath{\Omega}}}_{1}=0.421\ifmmode\pm\else\textpm\fi{}0.063\text{ }\text{ }\mathrm{GeV}$ with ${\ensuremath{\chi}}^{2}/\mathrm{d}.\mathrm{o}.\mathrm{f}.=0.988$ for 404 bins of data. These results agree with the prediction of universality for ${\mathrm{\ensuremath{\Omega}}}_{1}$ between thrust and $C$-Parameter within 1-$\ensuremath{\sigma}$.

Claudio Castellani - One of the best experts on this subject based on the ideXlab platform.

Pratap Raychaudhuri - One of the best experts on this subject based on the ideXlab platform.

Andre H. Hoang - One of the best experts on this subject based on the ideXlab platform.

  • $C$-Parameter Distribution at N$^3$LL′ including power corrections
    Physical Review D, 2015
    Co-Authors: Andre H. Hoang, Daniel W. Kolodrubetz, Vicent Mateu, Iain W. Stewart
    Abstract:

    We compute the e[superscript +]e[superscript -] C-Parameter Distribution using the soft-collinear effective theory with a resummation to next-to-next-to-next-to-leading-log prime accuracy of the most singular partonic terms. This includes the known fixed-order QCD results up to O(α[3 over s]), a numerical determination of the two-loop nonlogarithmic term of the soft function, and all logarithmic terms in the jet and soft functions up to three loops. Our result holds for C in the peak, tail, and far tail regions. Additionally, we treat hadronization effects using a field theoretic nonperturbative soft function, with moments Ω[subscript n]. To eliminate an O(Λ[subscript QCD]) renormalon ambiguity in the soft function, we switch from the [bar over MS] to a short distance “Rgap” scheme to define the leading power correction Parameter Ω[subscript 1]. We show how to simultaneously account for running effects in Ω[subscript 1] due to renormalon subtractions and hadron-mass effects, enabling power correction universality between C-Parameter and thrust to be tested in our setup. We discuss in detail the impact of resummation and renormalon subtractions on the convergence. In the relevant fit region for α[subscript s](m[subscript Z]) and Ω[subscript 1], the perturbative uncertainty in our cross section is ≃ 2.5% at Q = m[subscript Z].United States. Dept. of Energy. Office of Nuclear Physics (Contract DE-SC0011090)European Community. Marie-Curie Research Networks (Contract PITN-GA-2010-264564 (LHCphenOnet))Simons Foundation (Investigator Grant 327942

  • Precise determination of $\alpha_s$ from the $C$-Parameter Distribution
    Physical Review D, 2015
    Co-Authors: Andre H. Hoang, Daniel W. Kolodrubetz, Vicent Mateu, Iain W. Stewart
    Abstract:

    nal states coming from the underlying partons created in the collisions appear as boosted and collimated groups of hadrons known as jets. Event shapes have proven to be very successful to study these collisions quantitatively. They combine the energy and momenta of all of the measured hadrons into an infraredand collinear-safe Parameter which describes the geometric properties of the whole event by a single variable Distribution. Due to their global nature event shapes have nice theoretical properties, making it possible to obtain very accurate theoretical predictions using QCD. Most e + e event shape variables quantify how well the event resembles the situation of two narrow back-to-back jets, called dijets, by vanishing in this limit. Because the dijet limit involves restrictions that only allow collinear and soft degrees of freedom for the nal-state radiation, such

  • c Parameter Distribution at n 3 ll including power corrections
    Physical Review D, 2015
    Co-Authors: Andre H. Hoang, Daniel W. Kolodrubetz, Vicent Mateu, Iain W. Stewart
    Abstract:

    the leading power correction Parameter 1. We show how to simultaneously account for running eects in 1 due to renormalon subtractions and hadron-mass eects, enabling power correction universality between C-Parameter and thrust to be tested in our setup. We discuss in detail the impact of resummation and renormalon subtractions on the convergence. In the relevant t region for

  • precise determination of α s from the c Parameter Distribution
    Physical Review D, 2015
    Co-Authors: Andre H. Hoang, Daniel W. Kolodrubetz, Vicent Mateu, Iain W. Stewart
    Abstract:

    We present a global fit for ${\ensuremath{\alpha}}_{s}({m}_{Z})$, analyzing the available $C$-Parameter data measured at center-of-mass energies between $Q=35$ and 207 GeV. The experimental data is compared to a ${\mathrm{N}}^{3}{\mathrm{LL}}^{\ensuremath{'}}+\mathcal{O}({\ensuremath{\alpha}}_{s}^{3})+{\mathrm{\ensuremath{\Omega}}}_{1}$ theoretical prediction (up to the missing four-loop cusp anomalous dimension), which includes power corrections coming from a field-theoretical nonperturbative soft function. The dominant hadronic Parameter is its first moment ${\mathrm{\ensuremath{\Omega}}}_{1}$, which is defined in a scheme which eliminates the $\mathcal{O}({\mathrm{\ensuremath{\Lambda}}}_{\mathrm{QCD}})$ renormalon ambiguity. The resummation region plays a dominant role in the $C$-Parameter spectrum, and in this region a fit for ${\ensuremath{\alpha}}_{s}({m}_{Z})$ and ${\mathrm{\ensuremath{\Omega}}}_{1}$ is sufficient. We find ${\ensuremath{\alpha}}_{s}({m}_{Z})=0.1123\ifmmode\pm\else\textpm\fi{}0.0015$ and ${\mathrm{\ensuremath{\Omega}}}_{1}=0.421\ifmmode\pm\else\textpm\fi{}0.063\text{ }\text{ }\mathrm{GeV}$ with ${\ensuremath{\chi}}^{2}/\mathrm{d}.\mathrm{o}.\mathrm{f}.=0.988$ for 404 bins of data. These results agree with the prediction of universality for ${\mathrm{\ensuremath{\Omega}}}_{1}$ between thrust and $C$-Parameter within 1-$\ensuremath{\sigma}$.

Anand Kamlapure - One of the best experts on this subject based on the ideXlab platform.