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Title: From QCD-based hard-scattering to nonextensive statistical mechanical descriptions of transverse momentum spectra in high-energy p p and p p ¯ collisions

Abstract

Transverse spectra of both jets and hadrons obtained in high-energy $pp$ and $$p\bar p $$ collisions at central rapidity exhibit power-law behavior of $$1/p_T^n$$ at high $$p_T$$. The power index $$n$$ is 4-5 for jet production and is slightly greater for hadron production. Furthermore, the hadron spectra spanning over 14 orders of magnitude down to the lowest $$p_T$$ region in $pp$ collisions at LHC can be adequately described by a single nonextensive statistical mechanical distribution that is widely used in other branches of science. This suggests indirectly the dominance of the hard-scattering process over essentially the whole $$p_T$$ region at central rapidity in $pp$ collisions at LHC. We show here direct evidences of such a dominance of the hard-scattering process by investigating the power index of UA1 jet spectra over an extended $$p_T$$ region and the two-particle correlation data of the STAR and PHENIX Collaborations in high-energy $pp$ and $$p \bar p$$ collisions at central rapidity. We then study how the showering of the hard-scattering product partons alters the power index of the hadron spectra and leads to a hadron distribution that can be cast into a single-particle non-extensive statistical mechanical distribution. Lastly, because of such a connection, the non-extensivemore » statistical mechanical distribution can be considered as a lowest-order approximation of the hard-scattering of partons followed by the subsequent process of parton showering that turns the jets into hadrons, in high energy $pp$ and $$p\bar p$$ collisions.« less

Authors:
 [1];  [2];  [3];  [4]
  1. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Physics Division
  2. National Centre for Nuclear Research, Warsaw (Poland)
  3. Ministerio da Ciencia, Tecnologia e Inovacao (MCTI), Rio de Janiero (Brazil). Centro Brasileiro de Pesquisas Fisicas (CBPF) & National Inst. of Science and Technology for Complex Systems
  4. Ministerio da Ciencia, Tecnologia e Inovacao (MCTI), Rio de Janiero (Brazil). Centro Brasileiro de Pesquisas Fisicas (CBPF) & National Inst. of Science and Technology for Complex Systems; Santa Fe Institute, Santa Fe, NM (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1185995
Alternate Identifier(s):
OSTI ID: 1198503
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review. D, Particles, Fields, Gravitation and Cosmology
Additional Journal Information:
Journal Volume: 91; Journal Issue: 11; Journal ID: ISSN 1550-7998
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Wong, Cheuk-Yin, Wilk, Grzegorz, Cirto, Leonardo J. L., and Tsallis, Constantino. From QCD-based hard-scattering to nonextensive statistical mechanical descriptions of transverse momentum spectra in high-energy pp and pp¯ collisions. United States: N. p., 2015. Web. doi:10.1103/PhysRevD.91.114027.
Wong, Cheuk-Yin, Wilk, Grzegorz, Cirto, Leonardo J. L., & Tsallis, Constantino. From QCD-based hard-scattering to nonextensive statistical mechanical descriptions of transverse momentum spectra in high-energy pp and pp¯ collisions. United States. https://doi.org/10.1103/PhysRevD.91.114027
Wong, Cheuk-Yin, Wilk, Grzegorz, Cirto, Leonardo J. L., and Tsallis, Constantino. Mon . "From QCD-based hard-scattering to nonextensive statistical mechanical descriptions of transverse momentum spectra in high-energy pp and pp¯ collisions". United States. https://doi.org/10.1103/PhysRevD.91.114027. https://www.osti.gov/servlets/purl/1185995.
@article{osti_1185995,
title = {From QCD-based hard-scattering to nonextensive statistical mechanical descriptions of transverse momentum spectra in high-energy pp and pp¯ collisions},
author = {Wong, Cheuk-Yin and Wilk, Grzegorz and Cirto, Leonardo J. L. and Tsallis, Constantino},
abstractNote = {Transverse spectra of both jets and hadrons obtained in high-energy $pp$ and $p\bar p $ collisions at central rapidity exhibit power-law behavior of $1/p_T^n$ at high $p_T$. The power index $n$ is 4-5 for jet production and is slightly greater for hadron production. Furthermore, the hadron spectra spanning over 14 orders of magnitude down to the lowest $p_T$ region in $pp$ collisions at LHC can be adequately described by a single nonextensive statistical mechanical distribution that is widely used in other branches of science. This suggests indirectly the dominance of the hard-scattering process over essentially the whole $p_T$ region at central rapidity in $pp$ collisions at LHC. We show here direct evidences of such a dominance of the hard-scattering process by investigating the power index of UA1 jet spectra over an extended $p_T$ region and the two-particle correlation data of the STAR and PHENIX Collaborations in high-energy $pp$ and $p \bar p$ collisions at central rapidity. We then study how the showering of the hard-scattering product partons alters the power index of the hadron spectra and leads to a hadron distribution that can be cast into a single-particle non-extensive statistical mechanical distribution. Lastly, because of such a connection, the non-extensive statistical mechanical distribution can be considered as a lowest-order approximation of the hard-scattering of partons followed by the subsequent process of parton showering that turns the jets into hadrons, in high energy $pp$ and $p\bar p$ collisions.},
doi = {10.1103/PhysRevD.91.114027},
url = {https://www.osti.gov/biblio/1185995}, journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
issn = {1550-7998},
number = 11,
volume = 91,
place = {United States},
year = {2015},
month = {6}
}

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Cited by: 33 works
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font-size:0.75rem;"><br/> <span class="type">journal</span>, <span class="date" data-date="2001-07-01">July 2001</span></small> </h2> <ul class="small references-list" style="list-style-type:none; margin-top: 0.5em; padding-left: 0; line-height:1.8em;"> <li> <span style="color:#7cb342;"> Abbott, B.; Abdesselam, A.; Abolins, M.</span> </li> <li> Physical Review D, Vol. 64, Issue 3</li> <li> <span class="text-muted related-url"><a href="https://doi.org/10.1103/PhysRevD.64.032003" class="text-muted" target="_blank" rel="noopener noreferrer">https://doi.org/10.1103/PhysRevD.64.032003<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> <hr/> </div> <div> <h2 class="title" style="margin-bottom:0;" data-apporder=""> <a href="https://doi.org/10.1016/j.physletb.2013.04.026" target="_blank" rel="noopener noreferrer" class="name">Measurement of the inclusive differential jet cross section in pp collisions at <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:msqrt><mml:mi>s</mml:mi></mml:msqrt><mml:mo>=</mml:mo><mml:mn>2.76</mml:mn><mml:mtext> TeV</mml:mtext></mml:math><span class="fa fa-external-link" aria-hidden="true"></span></a> <small class="text-muted" style="text-transform:uppercase; 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font-size:0.75rem;"><br/> <span class="type">journal</span>, <span class="date" data-date="2018-04-10">April 2018</span></small> </h2> <ul class="small references-list" style="list-style-type:none; margin-top: 0.5em; padding-left: 0; line-height:1.8em;"> <li> <span style="color:#7cb342;"> Wilk, Grzegorz; Włodarczyk, Zbigniew</span> </li> <li> International Journal of Modern Physics A, Vol. 33, Issue 10</li> <li> <span class="text-muted related-url"><a href="https://doi.org/10.1142/s0217751x18300089" class="text-muted" target="_blank" rel="noopener noreferrer">https://doi.org/10.1142/s0217751x18300089<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> <hr/> </div> <div> <h2 class="title" style="margin-bottom:0;" data-apporder=""> <a href="https://doi.org/10.1142/s0217751x18300089" target="_blank" rel="noopener noreferrer" class="name">Some intriguing aspects of multiparticle production processes<span class="fa fa-external-link" aria-hidden="true"></span></a> <small class="text-muted" style="text-transform:uppercase; 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margin-top: 0.5em; padding-left: 0; line-height:1.8em;"> <li> <span style="color:#7cb342;"> Bíró, Gábor; Barnaföldi, Gergely; Biró, Tamás</span> </li> <li> Entropy, Vol. 19, Issue 3</li> <li> <span class="text-muted related-url"><a href="https://doi.org/10.3390/e19030088" class="text-muted" target="_blank" rel="noopener noreferrer">https://doi.org/10.3390/e19030088<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> <hr/> </div> <div> <h2 class="title" style="margin-bottom:0;" data-apporder=""> <a href="https://doi.org/10.3390/e20090633" target="_blank" rel="noopener noreferrer" class="name">Fractal Structure and Non-Extensive Statistics<span class="fa fa-external-link" aria-hidden="true"></span></a> <small class="text-muted" style="text-transform:uppercase; font-size:0.75rem;"><br/> <span class="type">journal</span>, <span class="date" data-date="2018-08-24">August 2018</span></small> </h2> <ul class="small references-list" style="list-style-type:none; margin-top: 0.5em; padding-left: 0; line-height:1.8em;"> <li> <span style="color:#7cb342;"> Deppman, Airton; Frederico, Tobias; Megías, Eugenio</span> </li> <li> Entropy, Vol. 20, Issue 9</li> <li> <span class="text-muted related-url"><a href="https://doi.org/10.3390/e20090633" class="text-muted" target="_blank" rel="noopener noreferrer">https://doi.org/10.3390/e20090633<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> <hr/> </div> <div> <h2 class="title" style="margin-bottom:0;" data-apporder=""> <a href="https://doi.org/10.3390/universe3030062" target="_blank" rel="noopener noreferrer" class="name">Fractal Structure of Hadrons: Experimental and Theoretical Signatures<span class="fa fa-external-link" aria-hidden="true"></span></a> <small class="text-muted" style="text-transform:uppercase; font-size:0.75rem;"><br/> <span class="type">journal</span>, <span class="date" data-date="2017-08-26">August 2017</span></small> </h2> <ul class="small references-list" style="list-style-type:none; margin-top: 0.5em; padding-left: 0; line-height:1.8em;"> <li> <span style="color:#7cb342;"> Deppman, Airton</span> </li> <li> Universe, Vol. 3, Issue 3</li> <li> <span class="text-muted related-url"><a href="https://doi.org/10.3390/universe3030062" class="text-muted" target="_blank" rel="noopener noreferrer">https://doi.org/10.3390/universe3030062<span class="fa fa-external-link" aria-hidden="true"></span></a></span> </li> </ul> <hr/> </div> </div> <div class="pagination-container small"> <a class="pure-button prev page" href="#" rel="prev"><span class="fa fa-angle-left"></span></a><ul class="pagination d-inline-block" style="padding-left:.2em;"></ul><a class="pure-button next page" href="#" rel="next"><span class="fa fa-angle-right"></span></a> </div> </div> </div> <div class="col-sm-3 order-sm-3"> <ul class="nav nav-stacked"> <li class="active"><a href="" class="reference-type-filter tab-nav" data-filter="type" data-pattern="*"><span class="fa fa-angle-right"></span> All Cited By</a></li> <li class="small" style="margin-left:.75em; 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list-style-type: none;"> <li> <div class="article item document" itemprop="itemListElement" itemscope itemtype="http://schema.org/WebPage"><meta itemprop="position" content="1" /><div class="item-info"> <h2 class="title" itemprop="name headline"><a href="/biblio/1328728-measurement-integrated-differential-production-cross-sections-high-top-quarks-collisions-tev" itemprop="url">Measurement of the integrated and differential <math> <mi> t </mi> <mover> <mi> t </mi> <mo> ¯ </mo> </mover> </math> production cross sections for high- <math> <mrow> <msub> <mrow> <mi> p </mi> </mrow> <mrow> <mi mathvariant="normal"> T </mi> </mrow> </msub> </mrow> </math> top quarks in <math> <mi> p </mi> <mi> p </mi> </math> collisions at <math> <mrow> <msqrt> <mrow> <mi> s </mi> </mrow> </msqrt> <mo> = </mo> <mn> 8 </mn> <mtext>   </mtext> <mtext>   </mtext> <mi> TeV </mi> </mrow> </math></a></h2> <div class="metadata"> <small class="text-muted" style="text-transform:uppercase;display:block;line-height:2.5em;">Journal Article</small><span class="authors"> <span class="author">Khachatryan, V.</span> ; <span class="author">Sirunyan, A. M.</span> ; <span class="author">Tumasyan, A.</span> ; <span class="author">...</span> <span class="text-muted pubdata"> - Physical Review D</span> </span></div> <div class="abstract">The cross section for pair production of top quarks ($$t\bar{t}$$) with high transverse momenta is measured in pp collisions, collected with the CMS detector at the LHC with √s=8 TeV in data corresponding to an integrated luminosity of 19.7 fb <sup>-1</sup>. The measurement is performed using lepton+jets events, where one top quark decays semileptonically, while the second top quark decays to a hadronic final state. The hadronic decay is reconstructed as a single, large-radius jet, and identified as a top quark candidate using jet substructure techniques. The integrated cross section and the differential cross sections as a function of top<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> quark p <sub>T</sub> and rapidity are measured at particle level within a fiducial region related to the detector-level requirements and at parton level. The particle-level integrated cross section is found to be σ$$t\bar{t}$$ = 0.499 ± 0.035(stat+syst) ± 0.095(theo) ± 0.013(lumi) pb for top quark p <sub>T</sub> > 400 GeV. The parton-level measurement is σ$$t\bar{t}$$ = 1.44 ± 0.10(stat+syst) ± 0.29(theo) ± 0.04(lumi) pb. Lastly, the integrated and differential cross section results are compared to predictions from several event generators.</span><a href='#' onclick='$(this).hide().prev().hide().prev().show();return false;' style='margin-left:10px;display:none;'>« less</a></div><div class="metadata-links small clearfix text-muted" style="margin-top:15px;"> <span class="fa fa-book text-muted" aria-hidden="true"></span> Cited by 3<div class="pure-menu pure-menu-horizontal pull-right" style="width:unset;"> <ul class="pure-menu-list"> <li class="pure-menu-item"><span class="item-info-ftlink"><a class="misc doi-link " href="https://doi.org/10.1103/PhysRevD.94.072002" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="1328728" data-product-type="Journal Article" data-product-subtype="PA" >https://doi.org/10.1103/PhysRevD.94.072002</a></span></li> </ul> </div> </div> </div> <div class="clearfix"></div> </div> </li> <li> <div class="article item document" itemprop="itemListElement" itemscope itemtype="http://schema.org/WebPage"><meta itemprop="position" content="2" /><div class="item-info"> <h2 class="title" itemprop="name headline"><a href="/biblio/1165699-measurements-normalized-differential-cross-sections-tt-production-pp-collisions-tev-using-atlas-detector" itemprop="url">Measurements of normalized differential cross sections for <math> <mrow> <mi> t </mi> <mover> <mrow> <mi> t </mi> </mrow> <mrow> <mo> ¯ </mo> </mrow> </mover> </mrow> </math> production in <math> <mi> p </mi> <mi> p </mi> </math> collisions at <math> <mrow> <msqrt> <mrow> <mo> ( </mo> </mrow> <mi> s </mi> <mo> ) </mo> </msqrt> <mo> = </mo> <mn> 7 </mn> <mtext> </mtext> <mtext> </mtext> <mi> TeV </mi> </mrow> </math> using the ATLAS detector</a></h2> <div class="metadata"> <small class="text-muted" style="text-transform:uppercase;display:block;line-height:2.5em;">Journal Article</small><span class="authors"> <span class="author">Aad, G.</span> ; <span class="author">Abajyan, T.</span> ; <span class="author">Abbott, B.</span> ; <span class="author">...</span> <span class="text-muted pubdata"> - Physical Review. D, Particles, Fields, Gravitation and Cosmology</span> </span></div> <div class="abstract">Measurements of normalized differential cross sections for top-quark pair production are presented as a function of the top-quark transverse momentum, and of the mass, transverse momentum, and rapidity of the $$ t\bar{t} $$ system, in proton-proton collisions at a center-of-mass energy of $$ \sqrt{s} $$=7 TeV. The data set corresponds to an integrated luminosity of 4.6 fb <sup>-1</sup>, recorded in 2011 with the ATLAS detector at the CERN Large Hadron Collider. Events are selected in the lepton + jets channel, requiring exactly one lepton and at least four jets with at least one of the jets tagged as originating from<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> a b-quark. The measured spectra are corrected for detector efficiency and resolution effects and are compared to several Monte Carlo simulations and theory calculations. The results are in fair agreement with the predictions in a wide kinematic range. Nevertheless, data distributions are softer than predicted for higher values of the mass of the $$ t\bar{t} $$ system and of the top-quark transverse momentum. The measurements can also discriminate among different sets of parton distribution functions.</span><a href='#' onclick='$(this).hide().prev().hide().prev().show();return false;' style='margin-left:10px;display:none;'>« less</a></div><div class="metadata-links small clearfix text-muted" style="margin-top:15px;"> <div class="pure-menu pure-menu-horizontal pull-right" style="width:unset;"> <ul class="pure-menu-list"> <li class="pure-menu-item"><span class="item-info-ftlink"><a class="misc doi-link " href="https://doi.org/10.1103/PhysRevD.90.072004" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="1165699" data-product-type="Journal Article" data-product-subtype="AC" >https://doi.org/10.1103/PhysRevD.90.072004</a></span></li> </ul> </div> </div> </div> <div class="clearfix"></div> </div> </li> <li> <div class="article item document" itemprop="itemListElement" itemscope itemtype="http://schema.org/WebPage"><meta itemprop="position" content="4" /><div class="item-info"> <h2 class="title" itemprop="name headline"><a href="/biblio/1254417-measurements-normalized-differential-cross-sections-tt-production-pp-collisions-using-atlas-detector" itemprop="url">Measurements of normalized differential cross sections for <math> <mrow> <mi> t </mi> <mover> <mrow> <mi> t </mi> </mrow> <mrow> <mo> ¯ </mo> </mrow> </mover> </mrow> </math> production in <math> <mi> p </mi> <mi> p </mi> </math> collisions at <math> <mrow> <msqrt> <mrow> <mo> ( </mo> </mrow> <mi> s </mi> <mo> ) </mo> </msqrt> <mo> = </mo> <mn> 7 </mn> <mtext></mtext> <mtext></mtext> <mi> TeV </mi> </mrow> </math> using the ATLAS detector</a></h2> <div class="metadata"> <small class="text-muted" style="text-transform:uppercase;display:block;line-height:2.5em;">Journal Article</small><span class="authors"> <span class="author">Aad, G.</span> ; <span class="author">Abajyan, T.</span> ; <span class="author">Abbott, B.</span> ; <span class="author">...</span> <span class="text-muted pubdata"> - Physical Review. D, Particles, Fields, Gravitation and Cosmology</span> </span></div> <div class="abstract">Measurements of normalized differential cross sections for top-quark pair production are presented as a function of the top-quark transverse momentum, and of the mass, transverse momentum, and rapidity of the $$ t\bar{t} $$ system, in proton-proton collisions at a center-of-mass energy of $$ \sqrt{s} $$=7 TeV. The data set corresponds to an integrated luminosity of 4.6 fb <sup>-1</sup>, recorded in 2011 with the ATLAS detector at the CERN Large Hadron Collider. Events are selected in the lepton + jets channel, requiring exactly one lepton and at least four jets with at least one of the jets tagged as originating from<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> a b-quark. The measured spectra are corrected for detector efficiency and resolution effects and are compared to several Monte Carlo simulations and theory calculations. The results are in fair agreement with the predictions in a wide kinematic range. Nevertheless, data distributions are softer than predicted for higher values of the mass of the $$ t\bar{t} $$ system and of the top-quark transverse momentum. The measurements can also discriminate among different sets of parton distribution functions.</span><a href='#' onclick='$(this).hide().prev().hide().prev().show();return false;' style='margin-left:10px;display:none;'>« less</a></div><div class="metadata-links small clearfix text-muted" style="margin-top:15px;"> <span class="fa fa-book text-muted" aria-hidden="true"></span> Cited by 11<div class="pure-menu pure-menu-horizontal pull-right" style="width:unset;"> <ul class="pure-menu-list"> <li class="pure-menu-item"><span class="item-info-ftlink"><a class="misc doi-link " href="https://doi.org/10.1103/physrevd.90.072004" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="1254417" data-product-type="Journal Article" data-product-subtype="AM" >https://doi.org/10.1103/physrevd.90.072004</a></span></li> <li class="pure-menu-item"><span class="item-info-ftlink"><a class="misc fulltext-link " href="/servlets/purl/1254417" title="Link to document media" target="_blank" rel="noopener" data-ostiid="1254417" data-product-type="Journal Article" data-product-subtype="AM" >Full Text Available</a></span></li> </ul> </div> </div> </div> <div class="clearfix"></div> </div> </li> <li> <div class="article item document" itemprop="itemListElement" itemscope itemtype="http://schema.org/WebPage"><meta itemprop="position" content="6" /><div class="item-info"> <h2 class="title" itemprop="name headline"><a href="/biblio/1361706-measurement-relativistic-heavy-ion-collisions-using-di-hadron-correlations" itemprop="url">Measurement of <math> <mover> <mrow> <mi> q </mi> </mrow> <mrow> <mo> ˆ </mo> </mrow> </mover> </math> in Relativistic Heavy Ion Collisions using di-hadron correlations</a></h2> <div class="metadata"> <small class="text-muted" style="text-transform:uppercase;display:block;line-height:2.5em;">Journal Article</small><span class="authors"> <span class="author">Tannenbaum, M. J.</span> <span class="text-muted pubdata"> - Physics Letters B</span> </span></div> <div class="abstract">The propagation of partons from hard scattering through the Quark Gluon Plasma produced in A+A collisions at RHIC and the LHC is represented in theoretical analyses by the transport coefficient $$\hat{q}$$ and predicted to cause both energy loss of the outgoing partons, observed as suppression of particles or jets with large transverse momentum p <sub>T</sub>, and broadening of the azimuthal correlations of the outgoing di-jets or di-hadrons from the outgoing parton-pair, which has not been observed. The widths of azimuthal correlations of di-hadrons with the same trigger particle p <sub>Tt</sub> and associated p <sub>Ta</sub> transverse momenta in p+p and Au+Au<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> are so-far statistically indistinguishable as shown in recent as well as older di-hadron measurements and also with jet-hadron and hadron-jet measurements. The azimuthal width of the di-hadron correlations in p+p collisions, beyond the fragmentation transverse momentum, j <sub>T</sub>, is dominated by k <sub>T</sub>, the so-called intrinsic transverse momentum of a parton in a nucleon, which can be measured. The broadening should produce a larger k <sub>T</sub> in A+A than in p+p collisions. The present work introduces the observation that the k <sub>T</sub> measured in p+p collisions for di-hadrons with p <sub>Tt</sub> and p <sub>Ta</sub> must be reduced to compensate for the energy loss of both the trigger and away parent partons when comparing to the k <sub>T</sub> measured with the same di-hadron p <sub>Tt</sub> and p <sub>Ta</sub> in Au+Au collisions. This idea is applied to a recent STAR di-hadron measurement, with result <$$\hat{q}$$L>=2.1±0.6 GeV <sup>2</sup>. This is more precise but in agreement with a theoretical calculation of <$$\hat{q}$$L>=14$$+42\atop{-14}$$ GeV <sup>2</sup> using the same data. Assuming a length ≈7 fm for central Au+Au collisions the present result gives $$\hat{q}$$≈0.30±0.09 GeV <sup>2</sup>/fm, in fair agreement with the JET collaboration result from single hadron suppression of $$\hat{q}$$≈1.2±0.3 GeV <sup>2</sup>/fm at an initial time τ <sub>0</sub>=0.6 fm/c in Au+Au collisions at √sNN=200 GeV.</span><a href='#' onclick='$(this).hide().prev().hide().prev().show();return false;' style='margin-left:10px;display:none;'>« less</a></div><div class="metadata-links small clearfix text-muted" style="margin-top:15px;"> <div class="pure-menu pure-menu-horizontal pull-right" style="width:unset;"> <ul class="pure-menu-list"> <li class="pure-menu-item"><span class="item-info-ftlink"><a class="misc doi-link " href="https://doi.org/10.1016/j.physletb.2017.05.090" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="1361706" data-product-type="Journal Article" data-product-subtype="PA" >https://doi.org/10.1016/j.physletb.2017.05.090</a></span></li> </ul> </div> </div> </div> <div class="clearfix"></div> </div> </li> <li> <div class="article item document" itemprop="itemListElement" itemscope itemtype="http://schema.org/WebPage"><meta itemprop="position" content="8" /><div class="item-info"> <h2 class="title" itemprop="name headline"><a href="/biblio/1242592-measurements-spin-correlations-top-quark-polarization-using-dilepton-final-states-collisions-tev" itemprop="url">Measurements of <math> <mi> t </mi> <mover> <mi> t </mi> <mo> ¯ </mo> </mover> </math> spin correlations and top quark polarization using dilepton final states in <math> <mrow> <mi> p </mi> <mi> p </mi> </mrow> </math> collisions at <math> <mrow> <mrow> <msqrt> <mrow> <mi> s </mi> </mrow> </msqrt> <mo> = </mo> </mrow> <mn> 8 </mn> <mtext>   </mtext> <mtext>   </mtext> <mi> TeV </mi> </mrow> </math></a></h2> <div class="metadata"> <small class="text-muted" style="text-transform:uppercase;display:block;line-height:2.5em;">Journal Article</small><span class="authors"> <span class="author">Khachatryan, V.</span> ; <span class="author">Sirunyan, A. M.</span> ; <span class="author">Tumasyan, A.</span> ; <span class="author">...</span> <span class="text-muted pubdata"> - Physical Review D</span> </span></div> <div class="abstract">Measurements of the top quark-antiquark (t t-bar) spin correlations and the top quark polarization are presented for t t-bar pairs produced in pp collisions at sqrt(s) = 8 TeV. The data correspond to an integrated luminosity of 19.5 inverse femtobarns collected with the CMS detector at the LHC. The measurements are performed using events with two oppositely charged leptons (electrons or muons) and two or more jets, where at least one of the jets is identified as originating from a bottom quark. The spin correlations and polarization are measured from the angular distributions of the two selected leptons, both inclusively<a href='#' onclick='$(this).hide().next().show().next().show();return false;' style='margin-left:10px;'>more »</a><span style='display:none;'> and differentially, with respect to the invariant mass, rapidity, and transverse momentum of the t t-bar system. The measurements are unfolded to the parton level and found to be in agreement with predictions of the standard model. A search for new physics in the form of anomalous top quark chromo moments is performed. No evidence of new physics is observed, and exclusion limits on the real part of the chromo-magnetic dipole moment and the imaginary part of the chromo-electric dipole moment are evaluated.</span><a href='#' onclick='$(this).hide().prev().hide().prev().show();return false;' style='margin-left:10px;display:none;'>« less</a></div><div class="metadata-links small clearfix text-muted" style="margin-top:15px;"> <span class="fa fa-book text-muted" aria-hidden="true"></span> Cited by 4<div class="pure-menu pure-menu-horizontal pull-right" style="width:unset;"> <ul class="pure-menu-list"> <li class="pure-menu-item"><span class="item-info-ftlink"><a class="misc doi-link " href="https://doi.org/10.1103/PhysRevD.93.052007" target="_blank" rel="noopener" title="Link to document DOI" data-ostiid="1242592" data-product-type="Journal Article" data-product-subtype="PA" >https://doi.org/10.1103/PhysRevD.93.052007</a></span></li> </ul> </div> </div> </div> <div class="clearfix"></div> </div> </li> </ul> </aside> </div> </section> </div> <div class="col-sm-3 order-sm-3"> <ul class="nav nav-stacked"> <li class="active"><a class="tab-nav disabled" data-tab="related" style="color: #636c72 !important; opacity: 1;"><span class="fa fa-angle-right"></span> Similar Records</a></li> </ul> </div> </div> </section> </div></div> </div> </div> </section> <footer class="" style="background-color:#f9f9f9; /* padding-top: 0.5rem; */"> <div class="footer-minor"> <div class="container"> <hr class="footer-separator" /> <div class="text-center" style="margin-top:1.25rem;"> <div class="pure-menu pure-menu-horizontal"> <ul class="pure-menu-list" id="footer-org-menu"> <li class="pure-menu-item d-block d-inline-small"> <a href="https://energy.gov" target="_blank" rel="noopener noreferrer"> <img src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" class="sprite sprite-footer-us-doe-min" alt="U.S. Department of Energy" /> </a> </li> <li class="pure-menu-item d-block d-inline-small"> <a href="https://www.energy.gov/science/office-science" target="_blank" rel="noopener noreferrer"> <img src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" class="sprite sprite-footer-office-of-science-min" alt="Office of Science" /> </a> </li> <li class="pure-menu-item d-block d-inline-small"> <a href="/"> <img src="data:image/gif;base64,R0lGODlhAQABAIAAAP///wAAACH5BAEAAAAALAAAAAABAAEAAAICRAEAOw==" class="sprite sprite-footer-osti-min" alt="Office of Scientific and Technical Information" /> </a> </li> </ul> </div> </div> <div class="text-center small" style="margin-top:0.5em;margin-bottom:2.0rem;"> <div class="pure-menu pure-menu-horizontal"> <ul class="pure-menu-list"> <li class="pure-menu-item"><a href="/disclaim" class="pure-menu-link"><span class="fa fa-institution"></span> Website Policies <span class="d-none d-sm-inline" style="color:#737373;">/ Important Links</span></a></li> <li class="pure-menu-item"><a href="/contact" class="pure-menu-link"><span class="fa fa-comments-o"></span> Contact Us</a></li> <li class="d-block d-md-none mb-1"></li> <li class="pure-menu-item"><a href="https://www.facebook.com/ostigov" target="_blank" rel="noopener noreferrer" class="pure-menu-link social"><span class="fa fa-facebook" style=""></span></a></li> <li class="pure-menu-item"><a href="https://twitter.com/OSTIgov" target="_blank" rel="noopener noreferrer" class="pure-menu-link social"><span class="fa fa-twitter" style=""></span></a></li> <li class="pure-menu-item"><a href="https://www.youtube.com/user/ostigov" target="_blank" rel="noopener noreferrer" class="pure-menu-link social"><span class="fa fa-youtube-play" style=""></span></a></li> </ul> </div> </div> </div> </div> </footer> <link href="/css/ostigov.fonts.210121.1505.css" rel="stylesheet"> <script src="/js/ostigov.210121.1505.js"></script><noscript></noscript> <script src='https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.5/MathJax.js?config=TeX-MML-AM_CHTML' async> MathJax.Hub.Config({ tex2jax: {displayMath: [], inlineMath: [['$$','$$'], ['\\(','\\)']]}, asciimath2jax: {delimiters: []}, skipStartupTypeset: true, webFont: null, CommonHTML: { scale: 84, // mathjx wants to scale everything to 119% by default? mtextFontInherit: true } }); MathJax.Hub.Queue(["Typeset",MathJax.Hub,"item-list"]); MathJax.Hub.Queue(["Typeset",MathJax.Hub,"citation-pagetitle"]); MathJax.Hub.Queue(["Typeset",MathJax.Hub,"citation-abstract"]); MathJax.Hub.Queue(["Typeset",MathJax.Hub,"image-preview-desc"]); </script><noscript></noscript> <script defer src="/js/ostigov.biblio.210121.1505.js"></script><noscript></noscript> <script defer src="/js/lity.js"></script><noscript></noscript> <script async�type="text/javascript" src="/js/Universal-Federated-Analytics-Min.js?agency=DOE" id="_fed_an_ua_tag"></script><noscript></noscript> </body> <!-- OSTI.GOV v.210121.1505 --> </html>