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Precise predictions for the angular coefficients in Z-boson production at the LHC


Gauld, R; Gehrmann-De Ridder, A; Gehrmann, T; Glover, E W N; Huss, A (2017). Precise predictions for the angular coefficients in Z-boson production at the LHC. Journal of High Energy Physics, 2017(11):3.

Abstract

The angular distributions of lepton pairs in the Drell-Yan process can provide rich information on the underlying QCD production mechanisms. These dynamics can be parameterised in terms of a set of frame dependent angular coefficients, $A_{i=0,…,7,}$ which depend on the invariant mass, transverse momentum, and rapidity of the lepton pair. Motivated by recent measurements of these coefficients by ATLAS and CMS, and in particular by the apparent violation of the Lam-Tung relation $A \ _0 − A \ _2 = 0$, we perform a precision study of the angular coefficients at $\Sigma (\alpha^3_s)$ in perturbative QCD. We make predictions relevant for pp collisions at $\sqrt{s}$ = 8 TeV, and perform comparisons with the available ATLAS and CMS data as well as providing predictions for a prospective measurement at LHCb. To expose the violation of the Lam-Tung relationship we propose a new observable $\Delta^{LT} = 1 − A \ _2 / A \ _0$ that is more sensitive to the dynamics in the region where $A \ _0$ and $A \ _2$ are both small. We find that the $\Sigma (\alpha^3_s)$ corrections have an important impact on the $p_{T,Z}$ distributions for several of the angular coefficients, and are essential to provide an adequate description of the data. The compatibility of the available ATLAS and CMS data is reassessed by performing a partial $\chi^2$ test with respect to the central theoretical prediction which shows that $\chi^2 /N \ _{data}$ is significantly reduced by going from $\Sigma (\alpha^2_s)$ to $\Sigma (\alpha^3_s)$.

Abstract

The angular distributions of lepton pairs in the Drell-Yan process can provide rich information on the underlying QCD production mechanisms. These dynamics can be parameterised in terms of a set of frame dependent angular coefficients, $A_{i=0,…,7,}$ which depend on the invariant mass, transverse momentum, and rapidity of the lepton pair. Motivated by recent measurements of these coefficients by ATLAS and CMS, and in particular by the apparent violation of the Lam-Tung relation $A \ _0 − A \ _2 = 0$, we perform a precision study of the angular coefficients at $\Sigma (\alpha^3_s)$ in perturbative QCD. We make predictions relevant for pp collisions at $\sqrt{s}$ = 8 TeV, and perform comparisons with the available ATLAS and CMS data as well as providing predictions for a prospective measurement at LHCb. To expose the violation of the Lam-Tung relationship we propose a new observable $\Delta^{LT} = 1 − A \ _2 / A \ _0$ that is more sensitive to the dynamics in the region where $A \ _0$ and $A \ _2$ are both small. We find that the $\Sigma (\alpha^3_s)$ corrections have an important impact on the $p_{T,Z}$ distributions for several of the angular coefficients, and are essential to provide an adequate description of the data. The compatibility of the available ATLAS and CMS data is reassessed by performing a partial $\chi^2$ test with respect to the central theoretical prediction which shows that $\chi^2 /N \ _{data}$ is significantly reduced by going from $\Sigma (\alpha^2_s)$ to $\Sigma (\alpha^3_s)$.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Language:English
Date:November 2017
Deposited On:09 Feb 2018 15:25
Last Modified:01 Mar 2018 07:09
Publisher:Springer
ISSN:1029-8479
OA Status:Gold
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1007/JHEP11(2017)003

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