{"id":1087,"date":"2019-04-09T11:39:16","date_gmt":"2019-04-09T11:39:16","guid":{"rendered":"https:\/\/sagex.ph.qmul.ac.uk\/?page_id=1087"},"modified":"2019-04-09T13:45:34","modified_gmt":"2019-04-09T13:45:34","slug":"scientific-curriculum","status":"publish","type":"page","link":"https:\/\/sagex.org\/?page_id=1087","title":{"rendered":"Scientific curriculum"},"content":{"rendered":"<h1>Scientific curriculum<\/h1>\n<p>Training in the following scientific areas will be provided at the SAGEX schools. Please see the\u00a0<a href=\"https:\/\/sagex.ph.qmul.ac.uk\/?page_id=329\">event listings<\/a>\u00a0for further details.<\/p>\n<h2>Prerequisites<\/h2>\n<ul>\n<li>Quantum Field Theory including Feynman diagrams and traditional perturbative methods.<\/li>\n<\/ul>\n<h2>Basics of Amplitudes<\/h2>\n<ul>\n<li>Kinematics and building blocks (color decomposition, spinor helicity formalism, twistor variables, momentum twistors).<\/li>\n<li>Tree-level technology, in particular recursions (off-shell currents (Berends-Giele), onshell (BCFW), CSW rules).<\/li>\n<\/ul>\n<h2>Loop-Level Technologies<\/h2>\n<ul>\n<li>Amplitude decompositions (Master Integrals, IBP, Laporta algorithm).<\/li>\n<li>Computation of integral coefficients (unitarity, generalised unitarity, D-dimensional methods, OPP algorithm).<\/li>\n<li>Integration and summation strategies (Feynman and Mellin-Barnes representations, differential and difference equations, symbolic summation and integration).<\/li>\n<li>Mathematical structure of loop amplitudes (generalized polylogarithms, symbols, Hopf algebra structure, iterative and non-iterative sums).<\/li>\n<li>Computer algebra tools (FORM, Mathematica, FeynArts, FormCalc).<\/li>\n<\/ul>\n<h2>Specialised topics in Amplitudes<\/h2>\n<ul>\n<li>Factorisation properties of amplitudes (soft\/collinear).<\/li>\n<li>IR cancellation between real and virtual contributions.<\/li>\n<li>Landau singularities and Landau equations.<\/li>\n<li>Regge Kinematics.<\/li>\n<li>Collider physics (extracting predictions from amplitude calculations).<\/li>\n<li>Twistor actions.<\/li>\n<li>Basics of Grassmannian geometry.<\/li>\n<li>Near-collinear kinematics and the Pentagon Operator Product Expansion.<\/li>\n<\/ul>\n<h2>Symmetries<\/h2>\n<ul>\n<li>Super(conformal)symmetry (on shell superspace\/superamplitudes, SUSY Ward identities, SUSY BCFW recursion).<\/li>\n<li>Hidden symmetries and integrability (Dual conformal symmetry, Yangians, 2d S-matrices, N=4 SYM, ABJM).<\/li>\n<li>Asymptotic symmetries and soft theorems.<\/li>\n<\/ul>\n<h2>String Theory and String-inspired methods<\/h2>\n<ul>\n<li>Basics of string amplitude computation (open and closed strings).<\/li>\n<li>KLT in string theory and field theory.<\/li>\n<li>Color-kinematics duality and double copy.<\/li>\n<li>CHY formulae.<\/li>\n<li>AdS\/CFT correspondence.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Scientific curriculum Training in the following scientific areas will be provided at the SAGEX schools. Please see the\u00a0event listings\u00a0for further details. Prerequisites Quantum Field Theory including Feynman diagrams and traditional perturbative methods. Basics of Amplitudes Kinematics and building blocks (color decomposition, spinor helicity formalism, twistor variables, momentum twistors). Tree-level technology, in particular recursions (off-shell currents &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/sagex.org\/?page_id=1087\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Scientific curriculum&#8221;<\/span><\/a><\/p>\n","protected":false},"author":4,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/sagex.org\/index.php?rest_route=\/wp\/v2\/pages\/1087"}],"collection":[{"href":"https:\/\/sagex.org\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sagex.org\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sagex.org\/index.php?rest_route=\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/sagex.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1087"}],"version-history":[{"count":7,"href":"https:\/\/sagex.org\/index.php?rest_route=\/wp\/v2\/pages\/1087\/revisions"}],"predecessor-version":[{"id":1131,"href":"https:\/\/sagex.org\/index.php?rest_route=\/wp\/v2\/pages\/1087\/revisions\/1131"}],"wp:attachment":[{"href":"https:\/\/sagex.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1087"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}