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Title: Mass sum rules of the electron in quantum electrodynamics
A bstract Different decompositions of the nucleon mass, in terms of the masses and energies of the underlying constituents, have been proposed in the literature. We explore the corresponding sum rules in quantum electrodynamics for an electron at one-loop order in perturbation theory. To this aim we compute the form factors of the energy-momentum tensor, by paying particular attention to the renormalization of ultraviolet divergences, operator mixing and scheme dependence. We clarify the expressions of all the proposed sum rules in the electron rest frame in terms of renormalized operators. Furthermore, we consider the same sum rules in a moving frame, where they become energy decompositions. Finally, we discuss some implications of our study on the mass sum rules for the nucleon.  more » « less
Award ID(s):
1812359
PAR ID:
10300322
Author(s) / Creator(s):
; ;
Date Published:
Journal Name:
Journal of High Energy Physics
Volume:
2020
Issue:
9
ISSN:
1029-8479
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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    <supplementary-material><permissions><copyright-statement>Published by the American Physical Society</copyright-statement><copyright-year>2024</copyright-year></permissions></supplementary-material></sec> </div> <a href='#' class='show open-abstract' style='margin-left:10px;'>more »</a> <a href='#' class='hide close-abstract' style='margin-left:10px;'>« less</a> </div><div class="clearfix"></div> </div> </li> <li> <div class="article item document" itemscope itemtype="http://schema.org/TechArticle"> <div class="item-info"> <div class="title"> <a href="https://par.nsf.gov/biblio/10162036-nuclear-response-zero-finite-temperature" itemprop="url"> <span class='span-link' itemprop="name">Nuclear response at zero and finite temperature</span> </a> </div> <div> <strong> <a class="misc external-link" href="https://doi.org/10.1051/epjconf/201922301033" target="_blank" title="Link to document DOI">https://doi.org/10.1051/epjconf/201922301033  <span class="fas fa-external-link-alt"></span></a> </strong> </div> <div class="metadata"> <span class="authors"> <span class="author" itemprop="author">Litvinova, Elena</span> <span class="sep">; </span><span class="author" itemprop="author">Schuck, Peter</span> <span class="sep">; </span><span class="author" itemprop="author">Wibowo, Herlik</span> <span class="sep">; </span><span class="author" itemprop="author">de Angelis, G.</span> <span class="sep">; </span><span class="author" itemprop="author">Corradi, L.</span> </span> <span class="year">( <time itemprop="datePublished" datetime="2019-01-01">January 2019</time> , EPJ Web of Conferences) </span> </div> <div style="cursor: pointer;-webkit-line-clamp: 5;" class="abstract" itemprop="description"> We present some recent developments on the nuclear many-body problem, such as the treatment of high-order correlations and finite temperature in the description of in-medium two-nucleon propagators. In this work we discuss two-time propagators of the particle-hole type, which describe the response of finite nuclei to external probes without nucleon transfer. The general theory is formulated in terms of the equation of motion method for these propagators with the only input from the bare nucleon-nucleon interaction. The numerical implementation was performed on the basis of the effective mason-nucleon Lagrangian in order to study the energy-dependent kernels of different complexity. The finite-temperature extension of the theory with ph ⊗ phonon configurations is applied to a study of the multipole response of medium-mass nuclei. </div> <a href='#' class='show open-abstract' style='margin-left:10px;'>more »</a> <a href='#' class='hide close-abstract' style='margin-left:10px;'>« less</a> </div><div class="clearfix"></div> </div> </li> <li> <div class="article item document" itemscope itemtype="http://schema.org/TechArticle"> <div class="item-info"> <div class="title"> <a href="https://par.nsf.gov/biblio/10432974-evidence-mass-ordering-charm-bottom-quark-energy-loss-au+au-collisions-rhic" itemprop="url"> <span class='span-link' itemprop="name">Evidence of Mass Ordering of Charm and Bottom Quark Energy Loss in Au+Au Collisions at RHIC</span> </a> </div> <div> <strong> <a class="misc external-link" href="https://doi.org/10.1140/epjc/s10052-022-11003-7" target="_blank" title="Link to document DOI">https://doi.org/10.1140/epjc/s10052-022-11003-7  <span class="fas fa-external-link-alt"></span></a> </strong> </div> <div class="metadata"> <span class="authors"> <span class="author" itemprop="author">Abdallah, M. S.</span> <span class="sep">; </span><span class="author" itemprop="author">Aboona, B. E.</span> <span class="sep">; </span><span class="author" itemprop="author">Adam, J.</span> <span class="sep">; </span><span class="author" itemprop="author">Adamczyk, L.</span> <span class="sep">; </span><span class="author" itemprop="author">Adams, J. R.</span> <span class="sep">; </span><span class="author" itemprop="author">Adkins, J. K.</span> <span class="sep">; </span><span class="author" itemprop="author">Aggarwal, I.</span> <span class="sep">; </span><span class="author" itemprop="author">Aggarwal, M. M.</span> <span class="sep">; </span><span class="author" itemprop="author">Ahammed, Z.</span> <span class="sep">; </span><span class="author" itemprop="author">Anderson, D. M.</span> <span class="sep">; </span><span class="author">et al</span></span> <span class="year">( <time itemprop="datePublished" datetime="2022-12-01">December 2022</time> , The European Physical Journal C) </span> </div> <div style="cursor: pointer;-webkit-line-clamp: 5;" class="abstract" itemprop="description"> Abstract Partons traversing the strongly interacting medium produced in heavy-ion collisions are expected to lose energy depending on their color charge and mass. We measure the nuclear modification factors for charm- and bottom-decay electrons, defined as the ratio of yields, divided by the number of binary nucleon–nucleon collisions, in $$\sqrt{s_{\textrm{NN}}}=200$$ s NN = 200 GeV Au+Au collisions to p + p collisions ( $$R_{\textrm{AA}}$$ R AA ), or in central to peripheral Au+Au collisions ( $$R_{\textrm{CP}}$$ R CP ). We find the bottom-decay electron $$R_{\textrm{AA}}$$ R AA and $$R_{\textrm{CP}}$$ R CP to be significantly higher than those of charm-decay electrons. Model calculations including mass-dependent parton energy loss in a strongly coupled medium are consistent with the measured data. These observations provide evidence of mass ordering of charm and bottom quark energy loss when traversing through the strongly coupled medium created in heavy-ion collisions. </div> <a href='#' class='show open-abstract' style='margin-left:10px;'>more »</a> <a href='#' class='hide close-abstract' style='margin-left:10px;'>« less</a> </div><div class="clearfix"></div> </div> </li> </ol> <div class="push_top"></div> </div> </div> <div class="col-md-3"> <div id="citation-sidebar"> <ul class="nav nav-list" id="citation-fulltext-sidebar" style="font-size: 14px; font-family: Georgia Regular;"> <li style="font-weight: bold; margin-bottom: 5px; font-size:13px;">Free Publicly Accessible Full Text</li> <li> <span class="text-muted pull-right"><small id="citation-fulltext-sidebar-sizetext"></small></span><small><a class="misc" href="https://par.nsf.gov/servlets/purl/10300322" target="_blank">Accepted Manuscript1.0<img src="https://par.nsf.gov/img/ui/page_white_acrobat.png" alt="Accepted Manuscript" id="citation-fulltext-sidebar-size" class="ft_icon"/></a></small> </li> <li class="divider"></li> <li style="font-weight: bold;font-size:13px;">Journal Article:</li> <li style="word-break:break-all" class="small"> <a href="https://doi.org/10.1007/JHEP09(2020)067" target="_blank" rel="noopener noreferrer" title="Document DOI URL" class="external-link" data-ostiid="10300322" style="word-wrap: break-word;">https://doi.org/10.1007/JHEP09(2020)067  <span class="fas fa-external-link-alt"></span></a></li> </ul> <div class="hidden-print"> <ul class="nav nav-list clearfix" id="sidebar-feedback" style="margin-top: 20px; margin-bottom: 20px; clear: both;"> <li style="position: relative;"> <div class="feedback-container"> <div style="font-family: Georgia Regular; font-size: 14px; color: #313b52; padding:20px;"> Have feedback or suggestions for a way to improve these results?<br/> <span style="text-decoration: underline;"> <script type="text/javascript" defer>/* <![CDATA[ */ user = "feedback"; site = "research.gov"; subject = "?subject=Comments or Suggestions"; content = "<span class='fa fa-envelope'></span><span class='span-link' style='padding-left:5px'>Let us know</span>"; id = ""; document.write('<a itemprop="'+ id +'" href="mailto:' + user + '@' + site + subject + '">' + (content != '' ? content : (user + '@' + site)) + '</a>'); /* ]]> */</script> <noscript></noscript>!</span> </div> </li> </ul> <ul class="nav nav-list" style="font-size: 14px; font-family: Arial Regular;"> <li class="nav-header header-format">Citation Formats</li> <li class="links-format"><a href="#cite-mla" data-toggle="modal">MLA</a> <div id="cite-mla" class="modal" tabindex="-1" role="dialog" aria-labelledby="cite-mla_label" aria-hidden="true"> <div class="modal-dialog"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-hidden="true">×</button> <strong id="cite-mla_label">Cite: MLA Format</strong> </div> <div class="modal-body" >Rodini, S., Metz, A., and Pasquini, B. <em>Mass sum rules of the electron in quantum electrodynamics</em>. Retrieved from https://par.nsf.gov/biblio/10300322. <em>Journal of High Energy Physics</em> 2020.9 Web. doi:10.1007/JHEP09(2020)067. </div> <div class="modal-footer"> <button class="btn btn-sm btn-default" data-dismiss="modal" aria-hidden="true">Close</button> </div> </div> </div> </div></li> <li class="links-format"><a href="#cite-apa" data-toggle="modal">APA</a> <div id="cite-apa" class="modal" tabindex="-1" role="dialog" aria-labelledby="cite-apa_label" aria-hidden="true"> <div class="modal-dialog"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-hidden="true">×</button> <strong id="cite-apa_label">Cite: APA Format</strong> </div> <div class="modal-body">Rodini, S., Metz, A., & Pasquini, B. <em>Mass sum rules of the electron in quantum electrodynamics</em>. <em>Journal of High Energy Physics</em>, <em>2020</em> (9). Retrieved from https://par.nsf.gov/biblio/10300322. <a href="https://doi.org/10.1007/JHEP09(2020)067">https://doi.org/10.1007/JHEP09(2020)067</a> </div> <div class="modal-footer"> <button class="btn btn-sm btn-default" data-dismiss="modal" aria-hidden="true">Close</button> </div> </div> </div> </div></li> <li class="links-format"><a href="#cite-chi" data-toggle="modal">Chicago</a> <div id="cite-chi" class="modal" tabindex="-1" role="dialog" aria-labelledby="cite-chi_label" aria-hidden="true"> <div class="modal-dialog"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-hidden="true">×</button> <strong id="cite-chi_label">Cite: Chicago Format</strong> </div> <div class="modal-body">Rodini, S., Metz, A., and Pasquini, B. "Mass sum rules of the electron in quantum electrodynamics". <em>Journal of High Energy Physics</em> 2020 (9). Country unknown/Code not available. <a href="https://doi.org/10.1007/JHEP09(2020)067">https://doi.org/10.1007/JHEP09(2020)067.</a> <a href="https://par.nsf.gov/biblio/10300322">https://par.nsf.gov/biblio/10300322</a>. </div> <div class="modal-footer"> <button class="btn btn-sm btn-default" data-dismiss="modal" aria-hidden="true">Close</button> </div> </div> </div> </div></li> <li class="links-format"><a href="#cite-bib" data-toggle="modal">BibTeX</a> <div id="cite-bib" class="modal" tabindex="-1" role="dialog" aria-labelledby="cite-bib_label" aria-hidden="true"> <div class="modal-dialog"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-hidden="true">×</button> <strong id="cite-bib_label">Cite: BibTeX Format</strong> </div> <div class="modal-body"> @article{osti_10300322,<br/> place = {Country unknown/Code not available}, title = {Mass sum rules of the electron in quantum electrodynamics}, url = {https://par.nsf.gov/biblio/10300322}, DOI = {10.1007/JHEP09(2020)067}, abstractNote = {A bstract Different decompositions of the nucleon mass, in terms of the masses and energies of the underlying constituents, have been proposed in the literature. We explore the corresponding sum rules in quantum electrodynamics for an electron at one-loop order in perturbation theory. To this aim we compute the form factors of the energy-momentum tensor, by paying particular attention to the renormalization of ultraviolet divergences, operator mixing and scheme dependence. We clarify the expressions of all the proposed sum rules in the electron rest frame in terms of renormalized operators. Furthermore, we consider the same sum rules in a moving frame, where they become energy decompositions. Finally, we discuss some implications of our study on the mass sum rules for the nucleon.}, journal = {Journal of High Energy Physics}, volume = {2020}, number = {9}, author = {Rodini, S. and Metz, A. and Pasquini, B.}, editor = {null} }</div> <div class="modal-footer"> <button class="btn btn-sm btn-default" data-dismiss="modal" aria-hidden="true">Close</button> </div> </div> </div> </div></li> <li class="divider"></li> </ul> <ul class="nav nav-list" style="font-size: 14px; font-family: Arial Regular;"> <li class="nav-header header-format">Export Metadata</li> <li class="links-format"><a href="https://par.nsf.gov/endnote?osti_id=10300322">EndNote</a></li> <li class="links-format"><a href="https://par.nsf.gov/export/format:excel/osti-id:10300322">Excel</a></li> <li class="links-format"><a href="https://par.nsf.gov/export/format:csv/osti-id:10300322">CSV</a></li> <li class="links-format"><a href="https://par.nsf.gov/export/format:xml/osti-id:10300322">XML</a></li> <li class="divider"></li> </ul> <ul class="nav nav-list" style="font-size: 14px; 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