{"id":16109,"date":"2026-02-17T12:12:08","date_gmt":"2026-02-17T11:12:08","guid":{"rendered":"https:\/\/www.lapth.cnrs.fr\/?page_id=16109"},"modified":"2026-02-17T12:14:20","modified_gmt":"2026-02-17T11:14:20","slug":"postdoctoral-courses","status":"publish","type":"page","link":"https:\/\/www.lapth.cnrs.fr\/en\/postdoctoral-courses\/","title":{"rendered":"Postdoctoral courses"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"16109\" class=\"elementor elementor-16109\" data-elementor-post-type=\"page\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-bc03dbf elementor-section-full_width elementor-section-height-min-height elementor-section-height-default elementor-section-items-middle\" data-id=\"bc03dbf\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-3ad62ab elementor-hidden-tablet elementor-hidden-phone\" data-id=\"3ad62ab\" data-element_type=\"column\" data-e-type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-e6eef8c elementor-widget elementor-widget-spacer\" data-id=\"e6eef8c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-79ff294\" data-id=\"79ff294\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-53a0239 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"53a0239\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-9a5d496\" data-id=\"9a5d496\" data-element_type=\"column\" data-e-type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-566f66ad elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"566f66ad\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-160eb4ad\" data-id=\"160eb4ad\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-102573f7 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"102573f7\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-wide\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-5157003e\" data-id=\"5157003e\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-961008b elementor-widget elementor-widget-heading\" data-id=\"961008b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/lectures.lapth.cnrs.fr\/qed_qcd\/\" target=\"_blank\">QED, QCD en pratique<\/a><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6064017 elementor-widget elementor-widget-text-editor\" data-id=\"6064017\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p>Master&#8217;s level 2 course, in French<br \/>P. Aurenche, J. Ph. Guillet et E. Pilon<\/p><p>R\u00e9sum\u00e9<\/p><p>Ces notes sont une introduction \u00e0 l&#8217;application de l&#8217;\u00e9lectrodynamique quantique (QED) et de la chromodynamiques quantique (QCD) aux r\u00e9actions de diffusion \u00e0 hautes \u00e9nergies. Le premier th\u00e8me abord\u00e9 est celui des divergences ultraviolettes et de la renormalisation \u00e0 une boucle, avec comme cons\u00e9quence pour QCD la libert\u00e9 asymptotique. Le deuxi\u00e8me th\u00e8me est celui des divergences infrarouges et colin\u00e9aires qui dans QCD sont trait\u00e9es dans le cadre du mod\u00e8le des partons avec l&#8217;introduction des fonctions de structure d&#8217;un hadron. On montre comment la violation d&#8217;invariance d&#8217;\u00e9chelle est engendr\u00e9e par les corrections radiatives et on discute le th\u00e9or\u00e8me de factorisation dans l&#8217;approximation \u00e0 une boucle. Plusieurs applications ph\u00e9nom\u00e9nologiques dans les collisions <span id=\"MathJax-Element-1-Frame\" class=\"MathJax\" tabindex=\"0\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;msup&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mo&gt;+&lt;\/mo&gt;&lt;\/msup&gt;&lt;msup&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mo&gt;&amp;#x2212;&lt;\/mo&gt;&lt;\/msup&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-1\" class=\"math\"><span id=\"MathJax-Span-2\" class=\"mrow\"><span id=\"MathJax-Span-3\" class=\"msubsup\"><span id=\"MathJax-Span-4\" class=\"mi\">e<\/span><span id=\"MathJax-Span-5\" class=\"mo\">+<\/span><\/span><span id=\"MathJax-Span-6\" class=\"msubsup\"><span id=\"MathJax-Span-7\" class=\"mi\">e<\/span><span id=\"MathJax-Span-8\" class=\"mo\">\u2212<\/span><\/span><\/span><\/span><\/span>, <span id=\"MathJax-Element-2-Frame\" class=\"MathJax\" tabindex=\"0\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;e&lt;\/mi&gt;&lt;mspace width=&quot;thickmathspace&quot; \/&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-9\" class=\"math\"><span id=\"MathJax-Span-10\" class=\"mrow\"><span id=\"MathJax-Span-11\" class=\"mi\">e<\/span><span id=\"MathJax-Span-12\" class=\"mspace\"><\/span><span id=\"MathJax-Span-13\" class=\"mi\">p<\/span><\/span><\/span><\/span> et <span id=\"MathJax-Element-3-Frame\" class=\"MathJax\" tabindex=\"0\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;mspace width=&quot;thickmathspace&quot; \/&gt;&lt;mi&gt;p&lt;\/mi&gt;&lt;\/math&gt;\"><span id=\"MathJax-Span-14\" class=\"math\"><span id=\"MathJax-Span-15\" class=\"mrow\"><span id=\"MathJax-Span-16\" class=\"mi\">p<\/span><span id=\"MathJax-Span-17\" class=\"mspace\"><\/span><span id=\"MathJax-Span-18\" class=\"mi\">p<\/span><\/span><\/span><\/span> sont pr\u00e9sent\u00e9es, avec notamment la production de bosons de jauge, de gerbes hadroniques (&#8220;jets&#8221;) et de particules \u00e0 grande impulsion transverse dans les collisionneurs hadroniques. Dans tous les cas les pr\u00e9dictions sont confront\u00e9s avec les r\u00e9sultats exp\u00e9rimentaux r\u00e9cents.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-11b428f1\" data-id=\"11b428f1\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2b89899 elementor-widget elementor-widget-heading\" data-id=\"2b89899\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/lectures.lapth.cnrs.fr\/standard_model\/\" target=\"_blank\">Standard Model\n<\/a><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-fcc5638 elementor-widget elementor-widget-text-editor\" data-id=\"fcc5638\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p>Master&#8217;s level 2 course, in English<br \/>P. Aurenche, J. Ph. Guillet<\/p><p>Summary<\/p><p>The unified model of electroweak interactions (Glashow-Weinberg-Salam model) is constructed step by step. As an application, the phenomenology of neutrino mixing, in the framework of the three-family model, is dicussed in detail. Numerous formulae for appearance or disappearance of neutrinos in vacuum or in matter are derived. These notes shoud provide a self-contained introduction to the GWS model and to neutrino mixing and oscillations. Recent experimental results on neutrino oscillations are briefly reviewed.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-30ab33fa elementor-widget elementor-widget-text-editor\" data-id=\"30ab33fa\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t\t\t\t\t\t<p>.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-24b4a6ac elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"24b4a6ac\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-9eba527\" data-id=\"9eba527\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>QED, QCD en pratique Master&#8217;s level 2 course, in FrenchP. Aurenche, J. Ph. Guillet et E. Pilon R\u00e9sum\u00e9 Ces notes sont une introduction \u00e0 l&#8217;application de l&#8217;\u00e9lectrodynamique quantique (QED) et [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-16109","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.lapth.cnrs.fr\/en\/wp-json\/wp\/v2\/pages\/16109","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.lapth.cnrs.fr\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.lapth.cnrs.fr\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.lapth.cnrs.fr\/en\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/www.lapth.cnrs.fr\/en\/wp-json\/wp\/v2\/comments?post=16109"}],"version-history":[{"count":4,"href":"https:\/\/www.lapth.cnrs.fr\/en\/wp-json\/wp\/v2\/pages\/16109\/revisions"}],"predecessor-version":[{"id":16113,"href":"https:\/\/www.lapth.cnrs.fr\/en\/wp-json\/wp\/v2\/pages\/16109\/revisions\/16113"}],"wp:attachment":[{"href":"https:\/\/www.lapth.cnrs.fr\/en\/wp-json\/wp\/v2\/media?parent=16109"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}