Final Report Summary - MULTI-LEG@LHC (Multi-leg precision calculations and advanced phenomenology in the LHC era.) In this project, we aimed at performing phenomenology studies of processes relevant for the Large Hadron Collider at CERN, in Geneva and at contributing to:1) The ATLAS and CMS Higgs Physics Programs2) The ATLAS and CMS Exotics and SM Physic Programs3) The ATLAS and CMS Top Physic ProgramIn detail, the planned milestones scheduled were1) Hjjj production via vector boson fusion at NLO QCDThe research work was published in PRL. The complete reference of the corresponding article is[P-1] Electroweak Higgs plus Three Jet Production at NLO QCD F. Campanario, T.M. Figy, S. Plaetzer, M. Sjoedahl Published in Phys.Rev.Lett. 111 (2013) 2118022) Hjjj production via Gluon fusion at LO QCD beyond the heavy top approximation.Results of SM Hjjj production mode was published in PRD. An extension of this calculation including a general CP-violating Higgs boson was also presented and published in JHEP. The complete references are[P-2] Higgs boson CP-properties of the gluonic contributions in Higgs plus three jet production via gluon fusion at the LHC Francisco Campanario, Michael Kubocz [P-3] Higgs boson production in association with three jets via gluon fusion at the LHC: Gluonic contributions Francisco Campanario, Michael Kubocz Published in Phys.Rev. D88 (2013) 0540213) QCD induced WVjj production processes at NLO QCDResults for WZjj production were published in PRL, for WWjj in PRD and for WAJJ in EPJC. The complete list of references are:[P-4] WZ production in association with two jets at NLO in QCD Francisco Campanario, Matthias Kerner, Le Duc Ninh, Dieter Zeppenfeld Published in Phys.Rev.Lett. 111 (2013) 052003 [P-5] Next-to-leading order QCD corrections to W+W+ and W−W− production in association with two jets Francisco Campanario, Matthias Kerner, Le Duc Ninh, Dieter Zeppenfeld Published in Phys.Rev. D89 (2014) 5, 054009. [P-6] Next-to-leading order QCD corrections to W gamma production in association with two jets Francisco Campanario, Matthias Kerner, Le Duc Ninh, Dieter Zppenfeld Published in Eur.Phys.J. C74 (2014) 5, 2882. 4) Results at nNLO for some of diboson production processes. Results for the important W+W- diboson production process were presented in NPB:[P-7] W+W− production at high transverse momenta beyond NLO Francisco Campanario, Michael Rauch, Sebastian Sapeta Published in Nucl.Phys. B879 (2014) 65-79 DOI: 10.1016/j.nuclphysb.2013.12.001 e-Print: arXiv:1309.7293 [hep-ph] Other important results not originally proposed have been published:5) EW-produced NLO QCD VAjj production processes[P-8] W gamma production in vector boson fusion at NLO in QCD Francisco Campanario, Nicolas Kaiser, Dieter Zeppenfeld Published in Phys.Rev. D89 (2014) 0140096) QCD induced ZVjj production processes at NLO QCDWe completed the list of the VVjj processes known at NLO QCD. Results for ZAJJ and ZZjj in EPJC and JHEP, respectively, were published. The complete list of references are:[P-9] ZA production in association with two jets at next-to-leading order QCD Francisco Campanario, Matthias Kerner, Le Duc Ninh, Dieter Zeppenfeld. Published in Eur.Phys.J. C74 (2014) 9, 3085.[P-10] Next-to-leading order QCD corrections to ZZ production in association with two jets Francisco Campanario, Matthias Kerner, Le Duc Ninh, Dieter Zeppenfeld. Published in JHEP 1407 (2014) 148.Finally, we produced important results for associate Higgs production in [P-11] QCD radiation in $WH$ and $WZ$ production and anomalous coupling measurements Francisco Campanario, Robin Roth, Dieter Zeppenfeld. Phys.Rev. D91 (2015) 5, 054039.and for e+e ->mu++mu-gamma in [P-12] Complete QED NLO contributions to the reaction e+e ->mu++mu-gamma and their implementation in the event generator PHOKHARA F. Campanario, H. Czyż, J. Gluza, M. Gunia, T. Riemann, G. Rodrigo, V. Yundin Published in JHEP 1402 (2014) 114 DOI: 10.1007/JHEP02(2014)114 e-Print: arXiv:1312.3610 [hep-ph] Additionally, seven related conference proceeding have been published and are accessible via Internet: CP-violating Higgs boson production in association with three jets via gluon fusion By Francisco Campanario, Michael Kubocz arXiv:1410.3629 [hep-ph]. QCD Induced Di-boson Production in Association with Two Jets at NLO QCD Francisco Campanario, Matthias Kerner, Le Duc Ninh, Dieter Zeppenfeld. arXiv:1410.3498 [hep-ph]. Beyond the t-channel Approximation: Next-to-Leading Order QCD Corrections to Electroweak Higgs Boson Production Plus Three Jets Production at the LHC Francisco Campanario, Terrance M. Figy, Simon Plätzer, Malin Sjodahl. arXiv:1407.5050 [hep-ph]. PoS LL2014 (2014) 025. Multi-boson Production in Weak Boson Fusion Michael Rauch, Francisco Campanario, Bastian Feigl, Oliver Schlimpert. arXiv:1407.3719 [hep-ph]. PoS DIS2014 (2014) 126. NLO QCD Corrections to Electroweak Higgs Boson Plus Three Jet Production at the LHC Francisco Campanario, Terrance M. Figy, Simon Plaetzer, Malin Sjoedahl Conference: C13-09-22 e-Print: arXiv:1311.5455 [hep-ph] NLO QCD corrections to WZjj production at the LHC Francisco Campanario, Matthias Kerner, Le Duc Ninh, Dieter Zeppenfeld Conference: C13-08-11 e-Print: arXiv:1310.4369 [hep-ph] Di-boson and Tri-boson production at the LHC Francisco Campanario, Christoph Englert, Michael Rauch, Sebastian Sapeta, Dieter Zeppenfeld Conference: C13-04-22 Proceedings e-Print: arXiv:1307.2261 [hep-ph] Two public software downloadables have been provided with the aim to enlarge the dissemination of the project results: 1) VBFNLO- release 2.7 J. Baglio, J. Bellm, F. Campanario, B. Feigl, J. Frank, T. Figy, M. Kerner, L.D. Ninh et al.. arXiv:1404.3940 [hep-ph].In this program all of the WVjj QCD induced processes as well as the Wgammajj EW induced has been incorporated to the VBFNLO Monte Carlo program. The new release is found under: http://www.itp.kit.edu/~vbfnloweb/wiki/doku.php?id=download:vbfnlo 2) PHOKHARA9.0In this program, the implementation of the process e+e ->mu++mu-gamma, published with the scientific on charge, has been carried out. It is available via: http://ific.uv.es/~rodrigo/phokhara/Additionally, four private or semi-public programs have been created. The first, available via Internet, the lasts under request: 3) HJetsIn this program, the processes Higgs + 2 jets and Higgs +3 jets via vector boson fusion at NLO QCD has been implemented. It is available under request via: http://hjets.hepforge.org/ 4) VBFNLO+LOOPSIM.A personal version of the program VBFNLO has been created to be able to use it together with LOOPSIM to produce beyond NLO QCD results. This program is available under request and, indeed, the fellow has handed the program to two experimental groups, in particular to Ph.D students of Joy Huston and Reisaburo Tanaka. 5) Wgamma jj.Before the release of VBFNLO version 2.7. A private version was handed to several experimental groups. e.g to Zhijun Liang of Oxford, who is the present coordinator of the LHC EWK diboson/TGC subgroup. 6) Zgamma jj.A private version was handed to several experimental groups. e.g to Prof Qiand Liang (CMS) and Zhijun Liang (ATLAS)