CMS-HIG-21-017

CMS-HIG-21-017 ; CERN-EP-2023-300
Measurement of the production cross section of a Higgs boson with large transverse momentum in its decays to a pair of $ \tau $ leptons in proton-proton collisions at $ \sqrt{s} = $ 13 TeV
CMS Collaboration
29 March 2024
Phys. Lett. B 857 (2024) 138964
Abstract: A measurement of the production cross section of a Higgs boson with transverse momentum greater than 250 GeV is presented where the Higgs boson decays to a pair of $ \tau $ leptons. It is based on proton-proton collision data collected by the CMS experiment at the CERN LHC at a center-of-mass energy of 13 TeV. The data sample corresponds to an integrated luminosity of 138 fb$ ^{-1} $. Because of the large transverse momentum of the Higgs boson the $ \tau $ leptons from its decays are boosted and produced spatially close, with their decay products overlapping. Therefore, a dedicated algorithm was developed to reconstruct and identify them. The observed (expected) significance of the measured signal with respect to the standard model background-only hypothesis is 3.5 (2.2) standard deviations. The product of the production cross section and branching fraction is measured to be 1.64 $ ^{+0.68}_{-0.54} $ times the standard model expectation. The fiducial differential production cross section is also measured as functions of the Higgs boson and leading jet transverse momenta. This measurement extends the probed large-transverse-momentum region beyond 600 GeV.
Links: e-print arXiv:2403.20201 [hep-ex] (PDF) ; CDS record ; inSPIRE record ; HepData record ; Physics Briefing ; CADI line (restricted) ;

Figures & Tables	Summary	References	CMS Publications

Figures
png pdf	Figure 1: Comparison of the isolation efficiencies for the standard and boosted HPS algorithms in the $ \tau_\mathrm{h}\tau_\mathrm{h} $ (left) and $ \ell\tau_\mathrm{h} $ (right) final states.
png pdf	Figure 1-a: Comparison of the isolation efficiencies for the standard and boosted HPS algorithms in the $ \tau_\mathrm{h}\tau_\mathrm{h} $ (left) and $ \ell\tau_\mathrm{h} $ (right) final states.
png pdf	Figure 1-b: Comparison of the isolation efficiencies for the standard and boosted HPS algorithms in the $ \tau_\mathrm{h}\tau_\mathrm{h} $ (left) and $ \ell\tau_\mathrm{h} $ (right) final states.
png pdf	Figure 2: Observed and expected NN distributions in the SR, after combining all four $ p_{\mathrm{T}}^{\mathrm{H}} $ bins, in the $ \mu\tau_\mathrm{h} $ (upper left), $ \mathrm{e}\tau_\mathrm{h} $ (upper right), $ \mathrm{e}\mu $ (lower left), and $ \tau_\mathrm{h}\tau_\mathrm{h} $ (lower right) channels. The signal and background distributions are the result of a simultaneous binned maximum likelihood fit to all three output NN distributions, including all individual $ p_{\mathrm{T}} $ bins and data-taking years. The bottom panel shows the ratio of the number of events observed in data to that of the expected background.
png pdf	Figure 2-a: Observed and expected NN distributions in the SR, after combining all four $ p_{\mathrm{T}}^{\mathrm{H}} $ bins, in the $ \mu\tau_\mathrm{h} $ (upper left), $ \mathrm{e}\tau_\mathrm{h} $ (upper right), $ \mathrm{e}\mu $ (lower left), and $ \tau_\mathrm{h}\tau_\mathrm{h} $ (lower right) channels. The signal and background distributions are the result of a simultaneous binned maximum likelihood fit to all three output NN distributions, including all individual $ p_{\mathrm{T}} $ bins and data-taking years. The bottom panel shows the ratio of the number of events observed in data to that of the expected background.
png pdf	Figure 2-b: Observed and expected NN distributions in the SR, after combining all four $ p_{\mathrm{T}}^{\mathrm{H}} $ bins, in the $ \mu\tau_\mathrm{h} $ (upper left), $ \mathrm{e}\tau_\mathrm{h} $ (upper right), $ \mathrm{e}\mu $ (lower left), and $ \tau_\mathrm{h}\tau_\mathrm{h} $ (lower right) channels. The signal and background distributions are the result of a simultaneous binned maximum likelihood fit to all three output NN distributions, including all individual $ p_{\mathrm{T}} $ bins and data-taking years. The bottom panel shows the ratio of the number of events observed in data to that of the expected background.
png pdf	Figure 2-c: Observed and expected NN distributions in the SR, after combining all four $ p_{\mathrm{T}}^{\mathrm{H}} $ bins, in the $ \mu\tau_\mathrm{h} $ (upper left), $ \mathrm{e}\tau_\mathrm{h} $ (upper right), $ \mathrm{e}\mu $ (lower left), and $ \tau_\mathrm{h}\tau_\mathrm{h} $ (lower right) channels. The signal and background distributions are the result of a simultaneous binned maximum likelihood fit to all three output NN distributions, including all individual $ p_{\mathrm{T}} $ bins and data-taking years. The bottom panel shows the ratio of the number of events observed in data to that of the expected background.
png pdf	Figure 2-d: Observed and expected NN distributions in the SR, after combining all four $ p_{\mathrm{T}}^{\mathrm{H}} $ bins, in the $ \mu\tau_\mathrm{h} $ (upper left), $ \mathrm{e}\tau_\mathrm{h} $ (upper right), $ \mathrm{e}\mu $ (lower left), and $ \tau_\mathrm{h}\tau_\mathrm{h} $ (lower right) channels. The signal and background distributions are the result of a simultaneous binned maximum likelihood fit to all three output NN distributions, including all individual $ p_{\mathrm{T}} $ bins and data-taking years. The bottom panel shows the ratio of the number of events observed in data to that of the expected background.
png pdf	Figure 3: Observed and expected differential fiducial cross sections in bins of $ p_{\mathrm{T}}^{\mathrm{H}} $ (left) and $ p_{\mathrm{T}}^{\mathrm{j}_1} $ (right). The last bins include the overflow. The uncertainty bands in the theoretical predictions include uncertainties from the following sources: PDF, renormalization and factorization scales, underlying event and parton showering, and the branching fraction $ \mathcal{B}(\mathrm{H}\to\tau\tau) $.
png pdf	Figure 3-a: Observed and expected differential fiducial cross sections in bins of $ p_{\mathrm{T}}^{\mathrm{H}} $ (left) and $ p_{\mathrm{T}}^{\mathrm{j}_1} $ (right). The last bins include the overflow. The uncertainty bands in the theoretical predictions include uncertainties from the following sources: PDF, renormalization and factorization scales, underlying event and parton showering, and the branching fraction $ \mathcal{B}(\mathrm{H}\to\tau\tau) $.
png pdf	Figure 3-b: Observed and expected differential fiducial cross sections in bins of $ p_{\mathrm{T}}^{\mathrm{H}} $ (left) and $ p_{\mathrm{T}}^{\mathrm{j}_1} $ (right). The last bins include the overflow. The uncertainty bands in the theoretical predictions include uncertainties from the following sources: PDF, renormalization and factorization scales, underlying event and parton showering, and the branching fraction $ \mathcal{B}(\mathrm{H}\to\tau\tau) $.

Tables

png pdf

Table 1:
Selection requirements for the four $ \tau\tau $ final states. The relative isolation variable, $ I_{rel}^{\mu,\mathrm{e}} $, for muons and electrons is evaluated as the scalar sum of the $ p_{\mathrm{T}} $ of the reconstructed particles in a cone around the lepton track relative to the $ p_{\mathrm{T}} $ of the lepton. In the $ \tau_\mathrm{h}\tau_\mathrm{h} $ channel, the trigger requirement is defined by a combination of trigger candidates above a given threshold, indicated inside parentheses in GeV. The thresholds for the offline selection are driven by the trigger requirements. Except for the $ I_{rel}^{\mu,\mathrm{e}} $, the quantities are in units of GeV.

Summary

The measurement of the production cross section of a Higgs boson with large $ p_{\mathrm{T}} $ decaying to a pair of $ \tau $ leptons has been performed using proton-proton collision data collected by the CMS experiment at a center-of-mass energy of 13 TeV, corresponding to an integrated luminosity of 138 fb$ ^{-1} $. A dedicated reconstruction algorithm has been used to resolve the overlapping decay products of the two close-by $ \tau $ leptons. The $ \mathrm{H}\to\tau\tau $ signal with $ p_{\mathrm{T}}^{\mathrm{H}} > $ 250 GeV is established with a significance of 3.5 standard deviations (2.2 expected). The best fit of the product of the observed $ \mathrm{H}\to\tau\tau $ signal production cross section and branching fraction is 1.64 $ ^{+0.68}_{-0.54} $ times the SM expectation. The fiducial inclusive production cross section has been measured to be 3.88 $ ^{+1.69}_{-1.35} $ fb, which is consistent with the SM prediction of 2.36 $ \pm $ 0.51 fb. The fiducial differential production cross section is also measured as functions of the Higgs boson and leading jet transverse momenta. This measurement extends the probed large-transverse-momentum region beyond 600 GeV. No significant deviation with respect to the SM predictions is observed in the transverse momentum distribution of the Higgs boson with large $ p_{\mathrm{T}}^{\mathrm{H}} $.

References
1	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
2	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
3	CMS Collaboration	Observation of a new boson with mass near 125 GeV in pp collisions at $ \sqrt{s} = $ 7 and 8 TeV	JHEP 06 (2013) 081	CMS-HIG-12-036 1303.4571
4	ATLAS Collaboration	A detailed map of Higgs boson interactions by the ATLAS experiment ten years after the discovery	Nature 607 (2022) 52	2207.00092
5	CMS Collaboration	A portrait of the Higgs boson by the CMS experiment ten years after the discovery.	Nature 607 (2022) 60	CMS-HIG-22-001 2207.00043
6	M. Battaglia, M. Grazzini, M. Spira, and M. Wiesemann	Sensitivity to BSM effects in the Higgs $ p_T $ spectrum within SMEFT	JHEP 11 (2021) 173	2109.02987
7	C. Grojean, E. Salvioni, M. Schlaffer, and A. Weiler	Very boosted Higgs in gluon fusion	JHEP 05 (2014) 022	1312.3317
8	M. Grazzini, A. Ilnicka, M. Spira, and M. Wiesemann	Modeling BSM effects on the Higgs transverse-momentum spectrum in an EFT approach	JHEP 03 (2017) 115	1612.00283
9	ATLAS Collaboration	Study of high-transverse-momentum Higgs boson production in association with a vector boson in the qqbb final state with the ATLAS detector	no.~13, 131802, 2024 PRL 132 (2024)	2312.07605
10	ATLAS Collaboration	Measurements of differential cross sections of Higgs boson production through gluon fusion in the $ H\rightarrow WW^{*}\rightarrow e\nu \mu \nu $ final state at $ \sqrt{s} = $ 13 TeV with the ATLAS detector	EPJC 83 (2023) 774	2301.06822
11	ATLAS Collaboration	Measurements of Higgs boson production cross-sections in the $ H\to\tau^{+}\tau^{-} $ decay channel in pp collisions at $ \sqrt{s} = $ 13 TeV with the ATLAS detector	JHEP 08 (2022) 175	2201.08269
12	ATLAS Collaboration	Measurement of the total and differential Higgs boson production cross-sections at $ \sqrt{s} = $ 13 TeV with the ATLAS detector by combining the $ H \to ZZ^{*}\to 4\ell $ and $ H \to\gamma\gamma $ decay channels	JHEP 05 (2023) 028	2207.08615
13	ATLAS Collaboration	Measurements of the Higgs boson inclusive and differential fiducial cross-sections in the diphoton decay channel with pp collisions at $ \sqrt{s} = $ 13 TeV with the ATLAS detector	JHEP 08 (2022) 027	2202.00487
14	ATLAS Collaboration	Constraints on Higgs boson production with large transverse momentum using $ H\to bb $ decays in the ATLAS detector	PRD 105 (2022) 092003	2111.08340
15	ATLAS Collaboration	Measurements of the Higgs boson inclusive and differential fiducial cross sections in the 4$ \ell $ decay channel at $ \sqrt{s} = $ 13 TeV	EPJC 80 (2020) 942	2004.03969
16	CMS Collaboration	Measurement of boosted Higgs bosons produced via vector boson fusion or gluon fusion in the H $ \to \mathrm{b\bar{b}} $ decay mode using LHC proton-proton collision data at $ \sqrt{s} $ = 13 TeV	7, . . Submitted to JHEP, 2024	CMS-HIG-21-020 2407.08012
17	CMS Collaboration	Measurements of inclusive and differential cross sections for the Higgs boson production and decay to four-leptons in proton-proton collisions at $ \sqrt{s} = $ 13 TeV	JHEP 08 (2023) 040	CMS-HIG-21-009 2305.07532
18	CMS Collaboration	Measurement of the Higgs boson inclusive and differential fiducial production cross sections in the diphoton decay channel with pp collisions at $ \sqrt{s} = $ 13 TeV	JHEP 07 (2023) 091	CMS-HIG-19-016 2208.12279
19	CMS Collaboration	Measurement of the inclusive and differential Higgs boson production cross sections in the decay mode to a pair of $ \tau $ leptons in pp collisions at $ \sqrt{s} = $ 13 TeV	PRL 128 (2022) 081805	CMS-HIG-20-015 2107.11486
20	CMS Collaboration	Inclusive search for highly boosted Higgs bosons decaying to bottom quark-antiquark pairs in proton-proton collisions at $ \sqrt{s} = $ 13 TeV	JHEP 12 (2020) 085	CMS-HIG-19-003 2006.13251
21	CMS Collaboration	Measurement and interpretation of differential cross sections for Higgs boson production at $ \sqrt{s} = $ 13 TeV	PLB 792 (2019) 369	CMS-HIG-17-028 1812.06504
22	CMS Collaboration	Precision luminosity measurement in proton-proton collisions at $ \sqrt{s} = $ 13 TeV in 2015 and 2016 at CMS	EPJC 81 (2021) 800	CMS-LUM-17-003 2104.01927
23	CMS Collaboration	CMS luminosity measurement for the 2017 data-taking period at $ \sqrt{s} = $ 13 TeV	CMS Physics Analysis Summary, 2018 CMS-PAS-LUM-17-004	CMS-PAS-LUM-17-004
24	CMS Collaboration	CMS luminosity measurement for the 2018 data-taking period at $ \sqrt{s} = $ 13 TeV	CMS Physics Analysis Summary, 2019 CMS-PAS-LUM-18-002	CMS-PAS-LUM-18-002
25	CMS Collaboration	Performance of the CMS Level-1 trigger in proton-proton collisions at $ \sqrt{s} = $ 13 TeV	JINST 15 (2020) P10017	CMS-TRG-17-001 2006.10165
26	CMS Collaboration	The CMS trigger system	JINST 12 (2017) P01020	CMS-TRG-12-001 1609.02366
27	CMS Collaboration	The CMS experiment at the CERN LHC	JINST 3 (2008) S08004
28	P. Nason	A new method for combining NLO QCD with shower Monte Carlo algorithms	JHEP 11 (2004) 040	hep-ph/0409146
29	S. Frixione, P. Nason, and C. Oleari	Matching NLO QCD computations with Parton Shower simulations: the POWHEG method	JHEP 11 (2007) 070	0709.2092
30	S. Alioli, P. Nason, C. Oleari, and E. Re	A general framework for implementing NLO calculations in shower Monte Carlo programs: the POWHEG BOX	JHEP 06 (2010) 043	1002.2581
31	S. Alioli, P. Nason, C. Oleari, and E. Re	NLO higgs boson production via gluon fusion matched with shower in POWHEG	JHEP 04 (2009) 002	0812.0578
32	K. Hamilton, P. Nason, E. Re, and G. Zanderighi	NNLOPS simulation of Higgs boson production	JHEP 10 (2013) 222	1309.0017
33	K. Hamilton, P. Nason, and G. Zanderighi	Finite quark-mass effects in the NNLOPS POWHEG+MiNLO Higgs generator	JHEP 05 (2015) 140	1501.04637
34	J. Alwall et al.	The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations	JHEP 07 (2014) 079	1405.0301
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	T. Melia, P. Nason, R. Rontsch, and G. Zanderighi	$ W^+ W^- $, $ WZ $ and $ ZZ $ production in the POWHEG BOX	JHEP 11 (2011) 078	1107.5051
37	P. Nason and G. Zanderighi	$ W^+ W^- $, $ WZ $ and $ ZZ $ production in the POWHEG-BOX-V2	EPJC 74 (2014) 2702	1311.1365
38	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	0907.4076
39	E. Re	Single-top Wt-channel production matched with parton showers using the POWHEG method	EPJC 71 (2011) 1547	1009.2450
40	NNPDF Collaboration	Parton distributions for the LHC Run II	JHEP 04 (2015) 040	1410.8849
41	T. Sjöstrand et al.	An introduction to PYTHIA 8.2	Comput. Phys. Commun. 191 (2015) 159	1410.3012
42	CMS Collaboration	Event generator tunes obtained from underlying event and multiparton scattering measurements	EPJC 76 (2016) 155	CMS-GEN-14-001 1512.00815
43	CMS Collaboration	Extraction and validation of a new set of CMS PYTHIA8 tunes from underlying-event measurements	EPJC 80 (2020) 4	CMS-GEN-17-001 1903.12179
44	GEANT4 Collaboration	GEANT 4: A simulation toolkit	NIM A 506 (2003) 250
45	CMS Collaboration	Particle-flow reconstruction and global event description with the CMS detector	JINST 12 (2017) P10003	CMS-PRF-14-001 1706.04965
46	CMS Collaboration	Technical proposal for the Phase-II upgrade of the Compact Muon Solenoid	CMS Technical Proposal CERN-LHCC-2015-010, CMS-TDR-15-02, 2015 CDS
47	M. Cacciari, G. P. Salam, and G. Soyez	The anti-$ k_{\mathrm{T}} $ jet clustering algorithm	JHEP 04 (2008) 063	0802.1189
48	M. Cacciari, G. P. Salam, and G. Soyez	FastJet user manual	EPJC 72 (2012) 1896	1111.6097
49	CMS Collaboration	Jet energy scale and resolution in the CMS experiment in pp collisions at 8 TeV	JINST 12 (2017) P02014	CMS-JME-13-004 1607.03663
50	CMS Collaboration	Pileup mitigation at CMS in 13 TeV data	JINST 15 (2020) P09018	CMS-JME-18-001 2003.00503
51	CMS Collaboration	Performance of tau-lepton reconstruction and identification in CMS	JINST 7 (2012) P01001	CMS-TAU-11-001 1109.6034
52	CMS Collaboration	Reconstruction and identification of $ \tau $ lepton decays to hadrons and $ \nu_{\tau} $ at CMS	JINST 11 (2016) P01019	CMS-TAU-14-001 1510.07488
53	CMS Collaboration	Performance of reconstruction and identification of $ \tau $ leptons decaying to hadrons and $ \nu_\tau $ in pp collisions at $ \sqrt{s}= $ 13 TeV	JINST 13 (2018) P10005	CMS-TAU-16-003 1809.02816
54	M. Wobisch and T. Wengler	Hadronization corrections to jet cross-sections in deep inelastic scattering	in Workshop on Monte Carlo Generators for HERA Physics (Plenary Starting Meeting), 1998	hep-ph/9907280
55	CMS Collaboration	Performance of missing transverse momentum reconstruction in proton-proton collisions at $ \sqrt{s} = $ 13 TeV using the CMS detector	JINST 14 (2019) P07004	CMS-JME-17-001 1903.06078
56	A. J. Larkoski, S. Marzani, G. Soyez, and J. Thaler	Soft Drop	JHEP 05 (2014) 146	1402.2657
57	CMS Collaboration	Identification of heavy-flavour jets with the CMS detector in pp collisions at 13 TeV	JINST 13 (2018) P05011	CMS-BTV-16-002 1712.07158
58	L. Bianchini et al.	Reconstruction of the Higgs mass in events with Higgs bosons decaying into a pair of $ \tau $ leptons using matrix element techniques	NIM A 862 (2017) 54	1603.05910
59	CMS Collaboration	Measurement of Differential Top-Quark Pair Production Cross Sections in $ pp $ collisions at $ \sqrt{s}= $ 7 TeV	EPJC 73 (2013) 2339	CMS-TOP-11-013 1211.2220
60	CMS Collaboration	Measurement of the differential cross section for top quark pair production in pp collisions at $ \sqrt{s} = 8\,\text {TeV} $	EPJC 75 (2015) 542	CMS-TOP-12-028 1505.04480
61	CMS Collaboration	Constraints on anomalous higgs boson couplings to vector bosons and fermions from the production of higgs bosons using the $ \tau\tau $ final state	PRD 108 (2022) 032013	CMS-HIG-20-007 2205.05120
62	CMS Collaboration	Jet algorithms performance in 13 TeV data	CMS Physics Analysis Summary, 2017 CMS-PAS-JME-16-003	CMS-PAS-JME-16-003
63	J. M. Campbell, R. K. Ellis, and C. Williams	Vector boson pair production at the LHC	JHEP 07 (2011) 018	1105.0020
64	M. Czakon and A. Mitov	Top++: A Program for the Calculation of the Top-Pair Cross-Section at Hadron Colliders	Comput. Phys. Commun. 185 (2014) 2930	1112.5675
65	T. Gehrmann et al.	$ W^+W^- $ Production at Hadron Colliders in Next to Next to Leading Order QCD	PRL 113 (2014) 212001	1408.5243
66	K. Melnikov and F. Petriello	Electroweak gauge boson production at hadron colliders through $ O(\alpha_s^2) $	PRD 74 (2006) 114017	hep-ph/0609070
67	LHC Higgs Cross Section Working Group Collaboration	Handbook of LHC Higgs cross sections: 4. Deciphering the nature of the Higgs sector	technical report, . , , CERN Yellow Reports: Monographs, 2016 link	1610.07922
68	R. Barlow and C. Beeston	Fitting using finite Monte Carlo samples	Comput. Phys. Commun. 77 (1993) 219
69	J. S. Conway	Incorporating nuisance parameters in likelihoods for multisource spectra	PHYSTAT 201 (2011) 115	1103.0354
70	ATLAS and CMS Collaborations, and LHC Higgs Combination Group	Procedure for the LHC Higgs boson search combination in Summer 2011	Technical Report CMS-NOTE-2011-005, ATL-PHYS-PUB-2011-11, 2011
71	CMS Collaboration	HEPData record for this analysis	link