Complete LEP Data: Status of Higgs Boson Searches

hep-ph/282 December 2 Complete LEP Data: Status of Higgs Boson Searches arxiv:hep-ph/282v 5 Dec 2 André Sopczak Lancaster University Abstract The LEP experiments completed data-taking in November 2. New preliminary combined results of the four LEP experiments ALEPH, DELPHI, L3 and OPAL are presented for various Higgs boson searches. Presented at the Third International Conference on Non-Accelerator New Physics, NANP, Moscow, Russia, June 2

Complete LEP Data: Status of Higgs Boson Searches André Sopczak Lancaster University E-mail: andre.sopczak@cern.ch The LEP experiments completed data-taking in November 2. New preliminary combined results of the four LEP experiments ALEPH, DELPHI, L3 and OPAL are presented for various Higgs boson searches. After years of operation the LEP experiments have completed data-taking. In 2 the center-of-mass energy was pushed to 29 GeV with most data taken around 26 GeV. In the last three years of operation a luminosity of about 687 pb was delivered to each experiment, which exceeded expectations. Despite hints for a Higgs boson discovery around 6 GeV data-taking was not continued in 2. Standard Model Higgs Boson InSeptember2,ALEPHpresentedadataexcessconsistentwiththereactione + e HZ b bq q for a Higgs boson mass of about 5 GeV which was not confirmed by the other LEP experiments. In November 2, L3 provided support for a signal observation with a HZ b bν ν candidate event at the same mass. For the summer conferences in 2, all experiments updated their analyses and the probability of the data to be consistent with the Standard Model (SM) background is increased, as detailed in Table 2. The confidence levels CL b for a signal observation and CL s for setting mass limits are shown in Fig.. The resulting SM Higgs boson mass limit is 4. GeV at 95% CL. The reconstructed mass distribution and a list of candidate events are shown in Fig. 2. In extensions of the SM the HZZ coupling might be weaker and thus the production cross section is reduced. Figure 3 shows limits on the reduction factor at 95% CL. Even if the SM cross section is reduced by a factor three, a Higgs boson mass up to GeV is excluded. -CL b - -2-3 -4-5 LEP Expected for signal+background Expected for background Expected for test signal+background 2 4 6 8 2 4 6 8 2 2σ 3σ 4σ CL s - -2-3 -4-5 -6 Expected for background LEP 4. 5.4 2 4 6 8 2 4 6 8 2 Figure : Confidence levels CL b and CL s from combining the data collected by the four LEP experiments at energies from 89 to 29 GeV. The solid curve is the observed result. The shaded areas represent the symmetric σ and 2σ probability bands. The horizontal line at CL s =.5 gives the mass limits at 95% CL.

ALEPH DELPHI L3 OPAL LEP Significance (σ) Sep. 5, 2.6 4.67.84.47 2.5 2 2.2 Nov. 3, 2 6.5 4.68 6.8 2.9 4.2 3 2.9 Summer 2 2.6 3.77.32.2 3.4 2 2. Table: Backgroundprobabilities CL b atahiggsbosontest-massof = 5GeV,fortheindividual experiments and for the LEP data combined. ( ) The results presented at the LEPC of September 5 were revised for the LEPC of November 3. The revised values are listed. Events / 3 GeV/c 2 7 6 5 4 3 2 s = 2-2 GeV all cnd= 22 bgd= 2.6.25 sgl= 2.69 LEP tight background hz Signal ( =5 GeV) > 9 GeV 4.89 2 4 6 8 2 Reconstructed Mass [GeV/c 2 ] Experiment Channel m rec H (GeV) ln(+s/b) Aleph 4-jet 4.3.73 2 Aleph 4-jet 2.9.2 3 Aleph 4-jet..64 4 L3 E-miss 5..53 5 Opal 4-jet.7.53 6 Delphi 4-jet 4.3.49 7 Aleph Lept 8..47 8 Aleph Tau 5.4.4 9 Aleph 4-jet 4.5.4 Opal 4-jet 2.6.4 Delphi 4-jet 97.2.36 2 L3 4-jet 8.3.3 3 Aleph 4-jet 4.4.27 4 Aleph 4-jet 3..26 5 Opal E-miss 4..25 6 Aleph 4-jet.2.22 7 L3 E-miss..2 8 Opal E-miss 2..2 9 Delphi 4-jet..2 2 L3 E-miss..8 Figure 2: Left: Distribution of the reconstructed SM Higgs boson mass in searches conducted at energies between 2 and 2 GeV. The figure displays the data (dots with error bars), the predicted SM background and the prediction for a Higgs boson of 5 GeV mass. The number of data events selected with mass larger than 9 GeV is 4, while.25 are expected from SM background processes and.89 from a 5 GeV signal. Right: Properties of the candidates with the highest signal-over-background ratio ln( + s/b) at 5 GeV. The corresponding expected signal and background rates are 8.8 and 6.5 events, respectively. 9 899629 83 22 95% CL limit on ξ 2.4.2.8.6.4.2 LEP s = 6-2 GeV Expected for background 6 7 8 9 2 ξ 2.75.5.25 Excluded by LEP at 95% CL LEP2 25 5 75 (GeV) Figure 3: Left: The 95% CL upper bound on ξ 2 as a function of, where ξ = g HZZ /ghzz SM is the HZZ coupling relative to the SM coupling. About 2σ deviations from the expectation are observed at = 98 GeV and = 5 GeV. Right: The excluded (ξ 2, ) region including 29 GeV data is compared with the results from combined LEP data 3, taken around 9 GeV center-of-mass energy, and previous LEP2 limits 4 up to 83, 89, 96 and 22 GeV. The ξ 2 limit below GeV does not become significantly stronger when the 29 GeV data, taken in 2, is included. 2

2 MSSM Benchmark Results The Minimal Supersymmetric extension of the Standard Model (MSSM) is the most attractivealternativetothesm.thee + e haande + e hzproductioncrosssections are complementary. The LEP experiments have searched for the reactions e + e ha b bb b and b bτ + τ. Confidence levels CL b and CL s are given in Fig. 4 for the so-called benchmark results in the MSSM for large mixing in the scalar-top sector ( -max) 5. m A 2 8 6 4 2 8 6 4 2 LEP 88-29 GeV Preliminary -max <σ σ 2σ Theoretically Inaccessible 6 7 8 9 2 m A 6 4 2 8 6 4 2 LEP 88-29 GeV Preliminary -max Theoretically Inaccessible Excluded by LEP 2 4 6 8 2 4 LEP 88-29 GeV Preliminary LEP 88-29 GeV Preliminary tanβ -max Excluded by LEP tanβ -max M SUSY = TeV M 2 =2 GeV µ=-2 GeV m gluino =8 GeV Stop mix: X t =2M SUSY Theoretically Inaccessible Excluded by LEP 2 4 6 8 2 4 2 3 4 5 m A Figure 4: Upper left: Distribution of the discovery confidence level CL b for the -max benchmark, projected onto the (,m A ) plane by combining the data of the four LEP experiments at energies from 88 to 29 GeV. In the white domain the observation either shows a deficit or is less than σ above the background prediction; in the domains labelled σ and 2σ the observation is between σ and 2σ and larger than 2σ above the prediction, respectively. The other plots show the 95% CL bounds on, m A and tanβ for the -max benchmark. The full lines representthe actual observationand the dashed lines the limits expected on the basis of background only Monte Carlo experiments. Upper right: projection (,m A ); lower left: projection (,tanβ); lower right: projection (m A,tanβ). 3

3 A General MSSM Parameter Scan Important reductions of the mass limits compared to benchmark results were reported for LEP and first LEP2 data 6,7. With increasing statistics the reduction was only a few GeV by including the 89 GeV data of one LEP experiment (DELPHI) 8, and similar for OPAL 9. Figure 5 shows new results from a MSSM parameter scan for complete DELPHI data up to 29 GeV, leading to mass limits of 89 GeV on both scalar and pseudoscalar neutral Higgs bosons. These are almost identical to the DELPHI benchmark limits. Figure 5 (lower right) shows the importance of searches for invisible Higgs bosons 2 which could decay into neutralinos for some parameter combinations of the scan (outside of the benchmark). m A 2 8 6 4 DELPHI preliminary s = 6-29 GeV tanβ DELPHI preliminary s = 6-29 GeV 2 8 6 4 excluded at 95% CL theoretically forbidden excluded at 95% CL 2 2 4 6 8 2 4 2 4 6 8 2 4 tanβ DELPHI preliminary s = 6-29 GeV tanβ 4 3 DELPHI preliminary M 2 =µ=5 GeV/c 2 m top =75 GeV/c 2 M SUSY = TeV/c 2 A t =2439 2 no h χ χ excluded at 95% CL.9.8.7.6.5 experimentally excluded theoretically forbidden 5 5 2 25 3 35.4 m A 75 8 85 9 95 5 5 2 h mass Figure 5: MSSM parameter scan results for DELPHI data at energies from 6 to 29 GeV. Upper left: projection (,m A ); upper right: projection (,tanβ); lower left: projection (m A,tanβ). Lower right: excluded parameter combinations from searches for invisibly decaying Higgs bosons from 89 to 29 GeV data. 4

Limits on the e + e ha b bb b and b bτ + τ production rates are given in Fig. 6 5 for the example of m A. As noted previously for 22 GeV data, taken in 999, and first 2 data, h and A mass limits were 2 GeV below expectation 3 and this tendency is enhanced by including 29 GeV data, in which case they are 3. to 3.6 GeV below the expectations of about 95 GeV. A possible explanation is given that the HZ excess at about 5 GeV is due to the heavier scalar and that, in addition, the production of ha with masses between 9 and GeV occurs 3. Figure 6 shows a data excess above 2σ for +m A = 87 GeV in the b bb b channel. The same data excess is also expressed in the CL b and CL s distributions as shown in Fig. 7. The hypothesis of the production of three MSSM Higgs bosons is supported by the data excess seen in Fig. 2 at GeV which could result froz production in addition to HZ production. For the reported MSSM parameters 3 cos 2 (β α).9; therefore sin 2 (β α) = ξ 2.. The ξ 2 limit in the GeV mass region shows a deviation of about 2σ between expected and observed limit, as seen in Fig. 3 (left). Figure 3 (right) shows that this new support is only observed in the complete LEP data. cos 2 (β-α)br(a bb - )Br(h bb - ) - -2 LEP 88-29 GeV Preliminary h A bb - bb - channels 6 8 2 4 6 8 2 +m A cos 2 (β-α)br(a τ + τ - )Br(h bb - ) - -2 LEP 88-29 GeV Preliminary h A τ + τ - bb - channels 6 8 2 4 6 8 2 +m A Figure 6: Limits on the ha cross section as a function of +m A at 95% CL ( m A ) for the MSSM processes e + e ha b bb b and b bτ + τ. This corresponds to limits of cos 2 (β α) in the general extension of the SM with two Higgs boson doublets. The data of the four LEP experiments collected at energies from 88 to 29 GeV are combined. The solid curve is the observed result and the dashed curve shows the expected median. Shaded areas indicate the σ and 2σ probability bands. -CL b - -2-3 -4-5 -6-7 Expected, Signal Expected, SM 6657758859952252 +m A 5σ CL s - -2-3 -4-5 -6 CL s =.5 Expected 6657758859952252 +m A Figure 7: The confidence levels CL b and CL s as a function of + m A for the case m A (where only the e + e ha process contributes since sin 2 (β α) ). The straight line at.5 and the shaded σ and 2σ probability bands represent the expected background-only result. The solid curve is the observed result and the dashed curve shows the expected median for a signal. The horizontal line at CL b = 5.7 7 indicates the level for a 5σ discovery and the intersections of the curves with the horizontal line at CL s =.5 give the limit on + m A at 95% CL. The data of the four LEP experiments collected at energies from 88 to 29 GeV are combined. 5

4 Charged Higgs Bosons The search for charged Higgs bosons is performed in the framework of the general extension of the SM with two Higgs boson doublets. The combined CL b distributions from the four LEP experiments for the reactions e + e H + H c s cs and τ + ντ ν are presented in Fig. 8 4. The resulting mass limit, which also includes the csτν channel, is 78.6 GeV at 95% CL and it is valid for any branching ratio Br(H + τ + ν) as shown in Fig. 9. The cross section limit for the c s cs channel shows that the barrier from irreducible WW background events is almost passed. Optimization of the analyses of each individual experiment for higher masses could increase the decay-mode-independent reach by more than 5 GeV. Already a pre-lep2 study 5 based on a luminosity of 5 pb pointed out that..., the kinematic region above m W will be a challenge for the decay-mode-independent sensitivity, it might even be unfeasible.... -CL b - -2-3 -4-5 -6-7 Expected background Expected signal LEP 89-29 Br(H τν)= 6 65 7 75 8 85 9 -CL b - -2-3 -4-5 -6-7 Expected background Expected signal LEP 89-29 Br(H τν)= 6 65 7 75 8 85 9 95 Figure 8: The CL b distributions for the c s cs and τ + ντ ν channels, combining the data collected by the four LEP experiments at energies from 89 to 29 GeV. The shaded areas represent the σ and 2σ probability bands. Owing to the large irreducible WW c s cs background, less sensitivity is obtained near the W mass for the case Br(H + τ + ν) = as it can be seen from the expected signal probability curve. Br(H τν).8 cross-sec. (pb).5.45.4 LEP 89-29 Br(H τν)=.35.6.3.4 LEP 89-29 GeV.25.2.5.2..5 6 65 7 75 8 85 9 95 charged Higgs mass 6 65 7 75 8 85 9 Figure 9: Left: The 95% CL bounds on ± as a function of the branching ratio Br(H + τ + ν), combining the data collected by the four LEP experiments at energiesfrom 89to 29GeV. The expected median limits are indicated by the thin line and the observed limits by the thick line. Right: The 95% CL bounds on the production cross section for Br(H + τ + ν) =. The observed limit is given by the solid line and the expected limits are indicated by the dashed line and the shaded bands (σ and 2σ). The dotted line gives the expected cross section at 26 GeV center-of-mass energy. Radiative corrections vary the cross section by typically ±% depending on the model parameters 6,7. 6

5 Invisible Higgs Boson Decays In some models the Higgs boson can decay into invisible particles, such as neutralinos or majorons. The search for these Higgs bosons is performed in the Higgs bremsstrahlung process in association with a Z boson. All hadronic and charged leptonic Z decays are investigated 8. The CL s distribution and the cross section limit are given in Fig.. The mass limit is 4.4 GeV. CL s - -2-3 -4-5 cross section, pb.3.25.2.5..5 Median Background SM rate -6 9 95 5 5 2, GeV/c 2 9 95 5 5 2, GeV/c 2 Figure : Left: The CL s distribution for all hadronic and charged leptonic channels for invisible Higgs boson decays, combining the data collected by the four LEP experiments at energies from 2 to 29 GeV. The observed limit is given by the solid line and the expected limits are indicated by the dashed line and the shaded bands (σ and 2σ). The horizontal line at CL s =.5 gives the limit at 95% CL. Right: The 95% CL bounds on the production cross section for Br(H invisible) =. The observed limit is given by the solid line and the expected limits are indicated by the dashed line and the shaded bands (σ and 2σ). The dotted line gives the expected cross section at 26 GeV for Higgs bosons decaying % invisibly. 6 Flavour-Independent Higgs Boson Decays While in the SM the Higgs boson decays predominantly into b-quarks, in many extensions such as the general two Higgs doublet model, the b-quark coupling could be suppressed. Therefore, the search for Higgs boson bremsstrahlung in the four-jet, two-jet and two-lepton, and two-jet and missing-energy channels is generalized for flavor-independent hadronic Higgs boson decays 9. Stringent limits are given in Fig.. The expected limit is only 2.6 GeV below the SM limit, which is remarkable since b-tagging is a very important search tool. CL S - -2-3 -4-5 HZ FLAVOUR BLIND HYPOTHESIS s 29 GeV observed expected for background > 2.9 GeV observed limit > 3. GeV expected limit XSEC/SM BR(h hadrons) - HZ FLAVOUR BLIND HYPOTHESIS s 29 GeV observed expected for background -6 a) 6 7 8 9 (GeV) -2 6 7 8 9 (GeV) Figure : Left: The CL s distribution for all hadronic and charged leptonic channels for flavorindependent hadronic Higgs boson decays, combining the data collected by the four LEP experiments at energies up to 29 GeV. The production cross section of the SM and Br(h q q) = is assumed. The observed limit is given by the solid line and the expected limits are indicated by the dashed line and the shaded bands (σ and 2σ). The horizontal line at CL s =.5 gives the limit at 95% CL. Right: The 95% CL bounds on the production cross section normalized to the SM cross section. The observed limit is given by the solid line and the expected limits are indicated by the dashed line and the shaded bands (σ and 2σ). 7

7 Photonic Higgs Boson Decays It is possible that the Higgs boson does not decay into fermions. In this case the decays into γγ, WW and ZZ are dominant. As a fermiophobic benchmark model, the production and decays of the SM Higgs boson are assumed and all couplings to fermions are set to zero 2. Figure 2 shows the expected Higgs boson branching fractions and the mass limits from the search by all LEP experiments in the h γγ channel. B( h xx ).9.8.7.6.5.4.3.2 γγ WW ZZ Upper Limit on B(h γγ) - -2 Photonic Higgs Search ADLO Combined Preliminary Excluded Region +2 sigma expected median expected -2 sigma expected Fermiophobic BR Limit = 8.2 GeV Expected Limit = 9. GeV. 2 4 6 8 2 4 6 8 2 2 4 6 8 2 m h (GeV) m h (GeV) Figure 2: Left: Branching fraction of the fermiophobic benchmark model where only the bosonic Higgs decay modes are allowed. Right: Limits at 95% CL on the branching fraction h γγ assuming SM production cross sections. The observed limit is given by the solid line and the expected limits are indicated by the dashed line and the 2σ bands. The dotted line gives the expected branching fraction in the fermiophobic benchmark model. 8 Conclusions The combination of the complete data from the four LEP experiments resulted in a large increase for the sensitivity of Higgs bosons. The data shows a preference for a SM Higgs boson of 5.6 GeV. Further small data excesses for Higgs boson pair-production and bremsstrahlung between 9 and GeV allow the hypothesis that h, A and H of the MSSM all have masses between 9 and 6 GeV. Previously reported MSSM parameter combinations from a general scan are supported by the complete data set. The data is also consistent with the background-only hypothesis which results in stringent mass limits for the SM Higgs boson, the neutral Higgs bosons of the MSSM, charged Higgs bosons, invisible Higgs boson decays, flavour-independent hadronic Higgs boson decays, and fermiophobic Higgs boson decays. Table 2 summarizes these limits, and in addition compares benchmark and scan limits in the MSSM. Model Obs. Exp. SM 4. 5.6 MSSM ( ) 9. 94.6 MSSM (m A ) 9.9 95. H + H 78.6 78.8 Invisible 4.3 3.6 Flavor-independent 2.9 3. Fermiophobic 8.2 9. -3 s (GeV) Data m b h m b A ms h m s A 9 2,6 L3 4. none 25 none 72 22,7 DELPHI 59.5 5. 3 none 83 23,24 DELPHI 74.4 75.2 67 75 89 25,8 DELPHI 82.6 84. 75 78 89 9 OPAL 74.8 76.5 72 76 22 26 DELPHI 85.9 86.5 85 86 22 27,4 LEP 88.3 88.4 86 87 29, DELPHI 89.6 9.7 89 89 Table 2: Left: and expected Higgs boson mass limits from complete LEP data in various models. Right: Benchmark (b) and scan (s) mass limits in the MSSM. All limits are in GeV at 95% CL. 8

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