|−|The critical role of QCD in these efforts. It really is evident that the Higgs discovery opens a new experimental approach for the look for new physics, through the determination of its properties and couplings which can be poorly constrained beyond the SM . The theoretical handle over the requisite SM cross sections and backgrounds necessary to expose new physics becomes more stringent because the constraints sharpen without the need of observation of departures from the SM. Figure 35 shows the value of /SM , namely, of the production cross section instances the branching fraction, relative to the SM expectation , with decay mode and targeted production mechanism, where the latter involves gg, VBF, VH (WH ? and ZH), and t t H processes. This quantity is usually called80.68 and 95 CL match contours w/o MW , mt and MH measurements MW planet typical ?80. 80. 80.V Ge80.250 =5 MH=1 MH.70 =3 MHGeV00 =6 MHV GeSepG fitter SM180mt [GeV]Fig. 34 Direct and indirect [http: //www. musicpella. com/members/hook43iraq/activity/558452/ http: //www.musicpella.com/members/hook43iraq/activity/558452/] determinations of your W -boson and tquark masses inside the SM from measurements at LEP  and also the Tevatron , and from Higgs mass MH measurements in the LHC [1283, 1284]. The almost elliptical contours indicate constraints from worldwide fits to electroweak data, note http://cern. ch/gfitter , exclusive of direct measurements of MW and m t from LEP plus the Tevatron [1289, 1291]. The smaller (bigger) contours include (exclude) the Higgs mass determinations in the LHC. We show a September, 2013 update from a related figure in  and refer to it for all detailss = 7 TeV, L five.1 fb-1 s = eight TeV, L 19.6 fb-1 Combined= 0.80 ?0.H bb (VH tag) H bb (ttH tag) H (untagged) H (VBF tag) H (VH tag) H WW (0/1 jet) H WW (VBF tag) H WW (VH tag) H (0/1 jet) H (VBF tag) H (VH tag) H ZZ (0/1 jet) H ZZ (2 jets) -CMS PreliminarypSMmH = 125. 7 GeV= 0.-Best fit /SMFig. 35 Values of /SM for specific decay modes, or of subcombinations therein which target certain production mechanisms. The horizontal bars indicate ? errors including both statistical and systematic uncertainties; the vertical band shows the overall uncertainty. The quantity /SM (denoted (x, y) in text) could be the production cross section times the branching fraction, relative for the SM expectation . (Figure [https://dx.doi.org/10.1038/srep39151 title= srep39151] reproduced from , courtesy from the CMS collaboration.), and we can define, for production mode X and decay channel Y , (X, Y ) (X )B(H Y ) , SM (X )BSM (H Y ) (5.3)noting a worldwide average of = 0. 80 ? 0. 14 for any Higgs boson mass of 125.7 GeV . See Ref.  for fur-2981 Web page 86 ofEur. Phys. J. C (2014) 74:ther results and discussion and Ref.  for a succinct overview. We note that pp H via gluon luon fusion is computed to NNLO + NNLL precision in QCD, with an estimated uncertainty of about ?0 by varying the renormalization and factorization scales [1294, 1295]. In contrast, ?the error in the computed partial width of H bb is about six . The Higgs partial widths are commonly [https:// dx. doi.org/ 10.1093/ scan/ nsw074 title= scan/ nsw074] accessed through channels in which the Higgs appears in an intermediate state, as in (5.three). |+|
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