CMS logoCMS event Hgg
Compact Muon Solenoid
LHC, CERN

CMS-SMP-14-020 ; CERN-EP-2016-190
Measurement of the production cross section of a W boson in association with two b jets in pp collisions at $ \sqrt{s} = $ 8 TeV
EPJC 77 (2017) 92
Abstract: The production cross section of a W boson in association with two b jets is measured using a sample of proton-proton collisions at $ \sqrt{s} = $ 8 TeV collected by the CMS experiment at the CERN LHC. The data sample corresponds to an integrated luminosity of 19.8 fb$^{-1}$. The W bosons are reconstructed via their leptonic decays, $ \mathrm{ W }\to\ell\nu $, where $\ell=\mu$ or $\mathrm{ e }$. The fiducial region studied contains exactly one lepton with transverse momentum $ p_{\mathrm{T}}^{\ell} > $ 30 GeV and pseudorapidity $ | {\eta^{\ell}} | < $ 2.1, with exactly two b jets with $ p_{\mathrm{T}} > $ 25 GeV and $ | {\eta} | < $ 2.4 and no other jets with $ p_{\mathrm{T}} > $ 25 GeV and $ | {\eta} | < $ 4.7. The cross section is measured to be $ \sigma ( {{\mathrm{ p }\mathrm{ p }}} \to {\mathrm{ W }} (\ell\nu) + \mathrm{ b \bar{b} }) =$ 0.64 $\pm$ 0.03 (stat) $\pm$ 0.10 (syst) $\pm$ 0.06 (theory) $\pm$ 0.02 (lumi) pb, in agreement with standard model predictions.
Figures & Tables Summary References CMS Publications
Figures

png pdf
Figure 1:
The transverse mass distributions (upper) in the $ {\mathrm{ t } {}\mathrm{ \bar{t} } } $-multijet phase space after fitting to obtain the b tagging efficiency rescale factors, (middle) in the $ {\mathrm{ t } {}\mathrm{ \bar{t} } } $-multilepton sample after fitting to find the appropriate JES, and (lower) in the $ \mathrm{ W } + {\mathrm{ b \bar{b} } }$ signal sample after fitting simultaneously muon and electron decay channels. The lepton channels are shown separately with the muon sample on the left and the electron sample on the right. The last bin contains overflow events. The shaded area represents the total uncertainty in the simulation after the fit.

png pdf
Figure 1-a:
The transverse mass distributions in the $ {\mathrm{ t } {}\mathrm{ \bar{t} } } $-multijet phase space after fitting to obtain the b tagging efficiency rescale factors, muon sample. The last bin contains overflow events. The shaded area represents the total uncertainty in the simulation after the fit.

png pdf
Figure 1-b:
The transverse mass distributions in the $ {\mathrm{ t } {}\mathrm{ \bar{t} } } $-multijet phase space after fitting to obtain the b tagging efficiency rescale factors, electron sample. The last bin contains overflow events. The shaded area represents the total uncertainty in the simulation after the fit.

png pdf
Figure 1-c:
The transverse mass distributions in the $ {\mathrm{ t } {}\mathrm{ \bar{t} } } $-multilepton sample after fitting to find the appropriate JES, muon sample. The last bin contains overflow events. The shaded area represents the total uncertainty in the simulation after the fit.

png pdf
Figure 1-d:
The transverse mass distributions in the $ {\mathrm{ t } {}\mathrm{ \bar{t} } } $-multilepton sample after fitting to find the appropriate JES, electron sample. The last bin contains overflow events. The shaded area represents the total uncertainty in the simulation after the fit.

png pdf
Figure 1-e:
The transverse mass distributions in the $ \mathrm{ W } + {\mathrm{ b \bar{b} } }$ signal sample after fitting simultaneously muon and electron decay channels, muon sample. The last bin contains overflow events. The shaded area represents the total uncertainty in the simulation after the fit.

png pdf
Figure 1-f:
The transverse mass distributions in the $ \mathrm{ W } + {\mathrm{ b \bar{b} } }$ signal sample after fitting simultaneously muon and electron decay channels, electron sample. The last bin contains overflow events. The shaded area represents the total uncertainty in the simulation after the fit.

png pdf
Figure 2:
Distributions of $\Delta R(\mathrm{ b } ,\mathrm{ \bar{b} } )$ and $ {p_{\mathrm {T}}} ^\ell $ after applying the results from the fits to the simulation. The QCD background shape is taken from an $ {M_\mathrm {T}} < $ 30 GeV sideband and the muon and electron channels have been combined in these distributions. The last bin contains overflow events and the shaded area represents the total uncertainty in the simulation after the fit.

png pdf
Figure 2-a:
Distribution of $\Delta R(\mathrm{ b } ,\mathrm{ \bar{b} } )$ after applying the results from the fits to the simulation. The QCD background shape is taken from an $ {M_\mathrm {T}} < $ 30 GeV sideband and the muon and electron channels have been combined in these distributions. The last bin contains overflow events and the shaded area represents the total uncertainty in the simulation after the fit.

png pdf
Figure 2-b:
Distributions of $ {p_{\mathrm {T}}} ^\ell $ after applying the results from the fits to the simulation. The QCD background shape is taken from an $ {M_\mathrm {T}} < $ 30 GeV sideband and the muon and electron channels have been combined in these distributions. The last bin contains overflow events and the shaded area represents the total uncertainty in the simulation after the fit.

png pdf
Figure 3:
Comparison between the measured $ {\mathrm{ W } (\ell \nu )}+ {\mathrm{ b \bar{b} } } $ cross section and various QCD predictions. The orange band indicates the uncertainty in the given sample associated with PDF choice and the yellow band represents the uncertainty associated with DPI. The labels 4F and 5F refer to the four- and five-flavour PDF schemes. In the case of the MadGraph + PYTHIA-6 (5F) sample, the effects of DPI are already included in the generated samples so the DPI correction is not needed. The measured cross section is also shown with the total uncertainty in black and the luminosity, statistical, theoretical, and systematic uncertainties indicated.
Tables

png pdf
Table 1:
The main sources of systematic uncertainty in the $ \mathrm{ W } + {\mathrm{ b \bar{b} } } $ signal event sample. The column labeled ``Variation'' indicates the bounds on the normalization change of a given sample due to a variation of the uncertainty by one standard deviation. The last column indicates the contribution of the given systematic to the overall uncertainty in the measured cross section. The uncertainty labeled ``b tag eff rescaling'' is the uncertainty associated with the rescaling of the b tagging efficiency. UES refers to the scale of energy deposits not clustered into jets, and MES and EES refer to the muon and electron energy scales. The uncertainty labeled as "Id/Iso/Trg" is the uncertainty associated with the efficiency of the lepton identification, isolation, and trigger. The uncertainties in the integrated luminosity [14] and in the acceptance due to PDF uncertainties and scale choices are not included in the fit, and are treated separately.

png pdf
Table 2:
Initial and final yields obtained in the $ \mathrm{ W } + {\mathrm{ b \bar{b} } } $ signal region. The uncertainties in the signal strength represent the total uncertainty of the fit.

png pdf
Table 3:
Measured cross sections in the muon, electron, and combined lepton channels.
Summary
The cross section for the production of a W boson in association with two b jets was measured using a sample of proton-proton collisions at $ \sqrt{s} = $ 8 TeV collected by the CMS experiment. The data sample corresponds to an integrated luminosity of 19.8 fb$^{-1}$. The W bosons were reconstructed via their leptonic decays, $ \mathrm{ W }\to\ell\nu $, where $\ell=\mu$ or $\mathrm{ e }$. The fiducial region studied contains exactly one lepton with transverse momentum $ p_{\mathrm{T}}^{\ell} > $ 30 GeV and pseudorapidity $ | {\eta^{\ell}} | < $ 2.1, with exactly two b jets with $ p_{\mathrm{T}} > $ 25 GeV and $ | {\eta} | < $ 2.4 and no other jets with $ p_{\mathrm{T}} > $ 25 GeV and $ | {\eta} | < $ 4.7. The cross section is $ \sigma ( {{\mathrm{ p }\mathrm{ p }}} \to {\mathrm{ W }} (\ell\nu)+\mathrm{ b \bar{b} }) = $ 0.64 $\pm$ 0.03 (stat) $\pm$ 0.10 (syst) $\pm$ 0.06 (theory) $\pm$ 0.02 (lumi) pb, in agreement with standard model predictions.
References
1 ATLAS and CMS Collaborations Combined Measurement of the Higgs Boson Mass in pp Collisions at $ \sqrt{s}=7 $ and 8 TeV with the ATLAS and CMS Experiments PRL 114 (2015) 191803 1503.07589
2 CMS Collaboration Precise determination of the mass of the Higgs boson and tests of compatibility of its couplings with the standard model predictions using proton collisions at 7 and 8 TeV EPJC 75 (2015) 212 CMS-HIG-14-009
1412.8662
3 CMS Collaboration Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC PLB 716 (2012) 30 CMS-HIG-12-028
1207.7235
4 ATLAS Collaboration Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC PLB 716 (2012) 1 1207.7214
5 CMS Collaboration Measurement of the production cross section for a W boson and two b jets in pp collisions at $ \sqrt{s} $ = 7 TeV PLB 735 (2014) 204 CMS-SMP-12-026
1312.6608
6 ATLAS Collaboration Measurement of the cross-section for W boson production in association with b jets in pp collisions at $ \sqrt{s} $ = 7 TeV with the ATLAS detector JHEP 06 (2013) 084 1302.2929
7 CMS Collaboration Measurement of the Z/$ \gamma $*+b-jet cross section in pp collisions at 7 TeV JHEP 06 (2012) 126 CMS-EWK-11-012
1204.1643
8 CMS Collaboration Measurement of the production cross sections for a Z boson and one or more b jets in pp collisions at $ \sqrt{s} $ = 7 TeV JHEP 06 (2014) 120 CMS-SMP-13-004
1402.1521
9 CMS Collaboration Measurement of the cross section and angular correlations for associated production of a Z boson with b hadrons in pp collisions at $ \sqrt{s} $ = 7 TeV JHEP 12 (2013) 39 CMS-EWK-11-015
1310.1349
10 ATLAS Collaboration Measurement of the cross section for b jets produced in association with a Z boson at $ \sqrt{s} $ = 7 TeV with the ATLAS detector PLB 706 (2012) 295 1109.1403
11 ATLAS Collaboration Measurement of differential production cross sections for a Z boson in association with b jets in 7 TeV proton-proton collisions with the ATLAS detector JHEP 10 (2014) 141 1407.3643
12 D0 Collaboration Measurement of the p$ \mathrm{\overline{p}} \rightarrow $ W+b+X production cross section at $ \sqrt{s} = $ 1.96 TeV PLB 718 (2013) 1314 1210.0627
13 CDF Collaboration First Measurement of the b jet Cross Section in Events with a W Boson in p$ \mathrm{\overline{p}} $ Collisions at $ \sqrt{s} = $ 1.96 TeV PRL 104 (2010) 131801 0909.1505
14 CMS Collaboration CMS Luminosity Based on Pixel Cluster Counting - Summer 2013 Update
15 CMS Collaboration The CMS experiment at the CERN LHC JINST 3 (2008) S08004 CMS-00-001
16 CMS Collaboration Commissioning of the Particle-Flow Event Reconstruction with the first LHC collisions recorded in the CMS detector
17 CMS Collaboration Particle--Flow Event Reconstruction in CMS and Performance for Jets, Taus, and $ E_{\mathrm{T}}^{\text{miss}} $ CDS
18 CMS Collaboration The performance of the CMS muon detector in proton-proton collisions at $ \sqrt{s} $ = 7 TeV at the LHC JINST 8 (2013) P11002 CMS-MUO-11-001
1306.6905
19 CMS Collaboration Performance of CMS muon reconstruction in pp collision events at $ \sqrt{s} $ = 7 TeV JINST 7 (2012) P10002 CMS-MUO-10-004
1206.4071
20 CMS Collaboration Performance of electron reconstruction and selection with the CMS detector in proton-proton collisions at $ \sqrt{s} $ = 8 TeV JINST 10 (2015) 120 CMS-EGM-13-001
1502.02701
21 CMS Collaboration Measurements of Inclusive W and Z Cross Sections in pp Collisions at $ \sqrt{s} $ = 7 TeV JHEP 01 (2011) 080 CMS-EWK-10-002
1012.2466
22 CMS Collaboration Performance of the CMS missing transverse momentum reconstruction in pp data at $ \sqrt{s}=8 $ TeV JINST 10 (2015) P02006 CMS-JME-13-003
1411.0511
23 M. Cacciari, G. P. Salam, and G. Soyez The anti-$ k_\mathrm{t} $ jet clustering algorithm JHEP 04 (2008) 63 0802.1189
24 M. Cacciari and G. P. Salam Pileup subtraction using jet areas PLB 659 (2008) 119 0707.1378
25 M. Cacciari, G. P. Salam, and G. Soyez The catchment area of jets JHEP 04 (2008) 005 0802.1188
26 CMS Collaboration Identification and Filtering of Uncharacteristic Noise in the CMS Hadron Calorimeter JINST 5 (2010) T03014 CMS-CFT-09-019
0911.4881
27 CMS Collaboration Determination of jet energy calibration and transverse momentum resolution in CMS JINST 6 (2011) P11002 CMS-JME-10-011
1107.4277
28 CMS Collaboration Performance of b tagging at $ \sqrt{s} $ = 8 TeV in multijet, ttbar and boosted topology events
29 CMS Collaboration Identification of b-quark jets with the CMS experiment JINST 8 (2012) 04013 CMS-BTV-12-001
1211.4462
30 J. Alwall et al. MadGraph 5: going beyond JHEP 06 (2011) 128 1106.0522
31 F. Maltoni and T. Stelzer MadEvent: automatic event generation with MadGraph JHEP 02 (2003) 027 hep-ph/0208156
32 H.-L. Lai et al. Uncertainty induced by QCD coupling in the CTEQ global analysis of parton distributions PRD 82 (2010) 054021 1004.4624
33 T. Sj\"ostrand, S. Mrenna, and P. Z. Skands PYTHIA 6.4 physics and manual JHEP 05 (2006) 026 hep-ph/0603175
34 R. Field Early LHC Underlying Event Data - Findings and Surprises in Hadron collider physics. Proceedings, 22nd Conference 2010 1010.3558
35 J. Alwall et al. Comparative study of various algorithms for the merging of parton showers and matrix elements in hadronic collisions EPJC 53 (2008) 473 0706.2569
36 J. Alwall, S. de Visscher, and F. Maltoni QCD radiation in the production of heavy colored particles at the LHC JHEP 02 (2009) 017 0810.5350
37 P. Nason A new method for combining NLO QCD with shower Monte Carlo algorithms JHEP 11 (2004) 040 hep-ph/0409146
38 S. Frixione, P. Nason, and C. Oleari Matching NLO QCD computations with parton shower simulations: the POWHEG method JHEP 11 (2007) 070 0709.2092
39 S. Alioli, P. Nason, C. Oleari, and E. Re NLO single-top production matched with shower in POWHEG: $ s $- and $ t $-channel contributions JHEP 09 (2009) 111, , [Erratum: \DOI10.1007/JHEP02(2010)011] 0907.4076
40 E. Re Single-top $ Wt $-channel production matched with parton showers using the POWHEG method EPJC 71 (2011) 1547 1009.2450
41 R. Gavin, Y. Li, F. Petriello, and S. Quackenbush W Physics at the LHC with FEWZ 2.1 CPC 184 (2013) 208 1201.5896
42 Y. Li and F. Petriello Combining QCD and electroweak corrections to dilepton production in FEWZ PRD 86 (2012) 094034 1208.5967
43 J. M. Campbell and R. K. Ellis MCFM for the Tevatron and the LHC Nucl. Phys. B Proc. Suppl. 205 (2010) 10 1007.3492
44 S. Badger, J. M. Campbell, and R. K. Ellis QCD corrections to the hadronic production of a heavy quark pair and a W boson including decay correlations JHEP 03 (2011) 027 1011.6647
45 A. D. Martin, W. J. Stirling, R. S. Thorne, and G. Watt Parton distributions for the LHC EPJC 63 (2009) 189 0901.0002
46 CMS Collaboration Combination of ATLAS and CMS top quark pair cross section measurements in the e$ \mu $ final state using proton-proton collisions at 8 TeV
47 ATLAS Collaboration Measurement of the t$ \mathrm{\overline{t}} $ production cross-section using e$ \mu $ events with b-tagged jets in pp collisions at $ \sqrt{s}=7 $ and 8 TeV with the ATLAS detector EPJC 74 (2014) 3109 1406.5375
48 CMS Collaboration Measurement of the t$ \mathrm{\overline{t}} $ production cross section in the dilepton channel in pp collisions at $ \sqrt{s} = $ 8 TeV JHEP 02 (2014) 24, , [Erratum: \DOI10.1007/JHEP02(2014)102] CMS-TOP-12-007
1312.7582
49 GEANT4 Collaboration GEANT4 --- a simulation toolkit NIMA 506 (2003) 250
50 A. Buckley et al. LHAPDF6: parton density access in the LHC precision era EPJC 75 (2015) 132 1412.7420
51 M. Botje et al. The PDF4LHC Working Group Interim Recommendations 1101.0538
52 S. Alekhin et al. The PDF4LHC Working Group Interim Report 1101.0536
53 NNPDF Collaboration Parton distributions with LHC data Nucl. Phys. B 867 (2013) 244 1207.1303
54 T. Sj\"ostrand, S. Mrenna, and P. Z. Skands A brief introduction to PYTHIA 8.1 CPC 178 (2008) 852 0710.3820
55 CMS Collaboration Event generator tunes obtained from underlying event and multiparton scattering measurements EPJC 76 (2016) 155 CMS-GEN-14-001
1512.00815
56 CMS Collaboration Study of double parton scattering using W + 2-jet events in proton-proton collisions at $ \sqrt{s} $ = 7 TeV JHEP 03 (2014) 032 CMS-FSQ-12-028
1312.5729
Compact Muon Solenoid
LHC, CERN