LEADER 03813nam 22006375 450 001 9910574068503321 005 20251113181232.0 010 $a9783031019456$b(electronic bk.) 010 $z9783031019449 024 7 $a10.1007/978-3-031-01945-6 035 $a(MiAaPQ)EBC6992922 035 $a(Au-PeEL)EBL6992922 035 $a(CKB)22444725500041 035 $a(PPN)269144471 035 $a(OCoLC)1319198304 035 $a(DE-He213)978-3-031-01945-6 035 $a(EXLCZ)9922444725500041 100 $a20220518d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aModern Analytic Methods for Computing Scattering Amplitudes $eWith Application to Two-Loop Five-Particle Processes /$fby Simone Zoia 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022. 215 $a1 online resource (221 pages) 225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5061 311 08$aPrint version: Zoia, Simone Modern Analytic Methods for Computing Scattering Amplitudes Cham : Springer International Publishing AG,c2022 9783031019449 320 $aIncludes bibliographical references. 327 $aIntroduction -- Scattering Amplitudes -- The Art of Integrating by Differentiating -- Two-Loop Five-Article Scattering Amplitudes. 330 $aThis work presents some essential techniques that constitute the modern strategy for computing scattering amplitudes. It begins with an introductory chapter to fill the gap between a standard QFT course and the latest developments in the field. The author then tackles the main bottleneck: the computation of the loop Feynman integrals. The most efficient technique for their computation is the method of the differential equations. This is discussed in detail, with a particular focus on the mathematical aspects involved in the derivation of the differential equations and their solution. Ample space is devoted to the special functions arising from the differential equations, to their analytic properties, and to the mathematical techniques which allow us to handle them systematically. The thesis also addresses the application of these techniques to a cutting-edge problem of importance for the physics programme of the Large Hadron Collider: five-particle amplitudes at two-loop order. It presents the first analytic results for complete two-loop five-particle amplitudes, in supersymmetric theories and QCD. The techniques discussed here open the door to precision phenomenology for processes of phenomenological interest, such as three-photon, three-jet, and di-photon + jet production.sses of phenomenological interest, such as three-photon, three-jet, and di-photon + jet production. 410 0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5061 606 $aParticles (Nuclear physics) 606 $aQuantum field theory 606 $aMathematical physics 606 $aParticles (Nuclear physics) 606 $aElementary Particles, Quantum Field Theory 606 $aMathematical Methods in Physics 606 $aParticle Physics 615 0$aParticles (Nuclear physics) 615 0$aQuantum field theory. 615 0$aMathematical physics. 615 0$aParticles (Nuclear physics) 615 14$aElementary Particles, Quantum Field Theory. 615 24$aMathematical Methods in Physics. 615 24$aParticle Physics. 676 $a539.758 676 $a539.72 700 $aZoia$b Simone$01231763 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a9910574068503321 996 $aModern Analytic Methods for Computing Scattering Amplitudes$92860168 997 $aUNINA