Probing Charged Higgs Boson Couplings at the FCC-hh Collider
aa r X i v : . [ h e p - ph ] A p r Probing Charged Higgs Boson Couplings at the FCC-hh Collider
I.T. Cakir, ∗ S. Kuday, † and H. Saygin ‡ Istanbul Aydin University, Application and Research Centerfor Advanced Studies, 34295 Sefakoy, Istanbul, Turkey
A. Senol § Abant Izzet Baysal University, Department of Physics, 14280 Golkoy, Bolu, Turkey
O. Cakir ¶ Istanbul Aydin University, Application and Research Center for Advanced Studies,34295 Sefakoy, Istanbul, Turkey andAnkara University, Department of Physics, 06100 Tandogan, Ankara, Turkey (Dated: August 26, 2018)
Abstract
Many of the new physics models predicts a light Higgs boson similar to the Higgs boson ofthe Standard Model (SM) and also extra scalar bosons. Beyond the search channels for a SMHiggs boson, the future collider experiments will explore additional channels that are specific toextended Higgs sectors. We study the charged Higgs boson production within the framework oftwo Higgs doublet models (THDM) in the proton-proton collisions at the FCC-hh collider. Withan integrated luminosity of 500 fb − at very high energy frontier, we obtain a significant coverage ofthe parameter space and distinguish the charged Higgs-top-bottom interaction within the THDMor other new physics models with charged Higgs boson mass up to 1 TeV. ∗ [email protected] † [email protected] ‡ [email protected] § senol˙[email protected] ¶ [email protected]; [email protected] . INTRODUCTION The Higgs sector of the Standard Model (SM) is in the minimal form, which containsone complex isospin doublet of scalar fields ( φ + , φ ), resulting in one physical neutral CP-even Higgs boson ( h ) which has been discovered at the LHC by ATLAS [1] and CMS [2]collaborations. However, there are many possibilities for the extension of the Higgs sector,introducing further multiplets of scalar fields, which might be singlets, doublets, or tripletsof the symmetry groups. The extended Higgs sectors are more relevant to the neutrinomass, baryogenesis and dark matter. It is thus natural to consider scenarios with additionalcomplex scalars such as two Higgs doublet model (THDM) [3]. The scalar fields ( φ and φ ) couplings to the up-type, down-type and charged lepton SU (2) L singlet fermions can beidentified for discrete types of the THDM [4, 5]. Model of type-I are the one in which all SMfermions couple to a single scalar field ( φ ). In type-II model down-type quarks and chargedleptons couple to one scalar field ( φ ), while the up-type quarks and neutrinos couple tothe other scalar field ( φ ). Furthermore, in the model of type-III the quarks couple to oneof the scalar field ( φ ), while leptons couple to the other ( φ ). In the model of type-IV,the couplings of scalar ( φ ) to up-type quarks and charged leptons, and the couplings ofscalar ( φ ) to down-type quarks and neutrinos are present. Here, we consider two types ofTHDM-I and THDM-II for type-I and type-II of two Higgs doublet model, respectively.The two Higgs doublets carry opposite hypercharges, the ( φ and φ ) scalar potential willcontain the mixing parameters related to the mass. In this case, the Higgs doublets will havedifferent vacuum expectations values ( v and v ). The massive SM gauge bosons acquiretheir masses from the expressions with the vacuum expectation value v = ( v + v ) / . Afterthe spontaneous symmetry breaking there appears five physical scalar particles: two neutralCP-even bosons h and H , one neutral CP-odd boson A , and two charged bosons H ± .Phenomenologically, the two Higgs doublet model includes the free parameters: mixingangle, the ratio of the vacuum expectation values (tan β = v /v ), the masses of Higgsbosons. In the extended models of multiple neutral scalar bosons, the mixing between themwould make it difficult to identify their properties. Therefore, it is important to study thecharged scalar bosons, which could provide unique signatures to distinguish the models withextended Higgs sector.Constraints on the charged Higgs bosons in the THDM are given from both low energy2avour experiments and high energy collider experiments. The direct lower bounds on thecharged Higgs boson mass m H ± come from LEP experiments. They were sensitive to themasses of charged Higgs boson up to about 90 GeV, in two decay channels of H + → τ + ν and H + → c ¯ s , and the exclusion limit on the mass independent of the admixture of thesebranching fractions was 78 . . β values using the decay mode H + → τ + ν and 80 . β values. Using the bounds m A >
92 GeV and the characteristic relation m H ± = ( m A + m W ± ) / (as in the MSSM), one obtains the bound m H ± >
122 GeV.In the model THDM-II the mass of charged Higgs boson is constrained by the precisionmeasurements of the radiative decay of B → X s γ by the low energy experiments. Thelower bound on the mass m H ± >
295 GeV are given for the model THDM-II. The decay B → τ ν can also be used to constrain the charged Higgs parameters, being sensitive to(tan β/m H ± ) , which yields a lower bound m H ± >
300 GeV for tan β >
40. A study ofdata analysis based on b → sγ [6] have excluded a mass range up to 380 GeV in a varietyof interesting processes and BSM scenarios. However, these bounds can be relaxed if theMSSM or other new physics models contributes through the loop diagrams.Beyond the search channels for a Standard Model Higgs boson, the LHC experiments areexploring additional channels that are specific to extended Higgs bosons. ATLAS [7] andCMS [8] collaborations have already performed a number of extended Higgs searches whichexclude tan β >
50 in the range of heavy charged Higgs, m H ± >
200 GeV. Recently, theCMS collaboration [9] have put 95% C.L. exclusion limit on the mass of the charged Higgsboson in 180-600 GeV mass range. This search is performed at a center of mass energy of8 TeV with 19 . − of data from pp → ¯ t ( b ) H + and pp → t (¯ b ) H − production processeswith H + → τ + ν τ decay mode. The ATLAS collaboration [10] have searched for chargedHiggs bosons decaying through H ± → τ ± ν τ process using the proton-proton collision dataat √ s = 8 TeV with 19 . − , the results exclude a large range of tan β values for chargedHiggs boson masses in the range 80 −
160 GeV, and exclude parameter space with high tan β for the range of mass m H ± = 200 −
250 GeV.The searches of the heavy Higgs bosons of the THDM have special challenge at presenthigh energy colliders. One of the future international projects currently under considerationis the Future Circular Collider (FCC) [11] which has the potential to search for a wideparameter range of new physics. The FCC-hh collider is to provide proton-proton collisions3t nearly an order of magnitude higher energy than the LHC, the proposed centre-of-massenergy is 100 TeV and the peak luminosity is 5 × cm − s − [12].In this work, we study the processes pp → t ¯ tb (¯ b ) + X for the signal and backgroundat the FCC-hh collider. Our analysis is focused on the production of a pair of top quarksand associated bottom quark for the charged Higgs boson search within the THDM-I andTHDM-II in the pp collisions at very high energy frontier. We have obtained the significantcoverage of the parameter space at large integrated luminosity projections for the FCC-hhcollider. We define the relevant expressions for the H − q ¯ q and H − l + ¯ ν couplings as well asscalar-vector-scalar ( H − W + h , H − W + H , H − W + A ) couplings in section II. We presentthe calculation for the decay widths and branchings ratios of the charged Higgs boson insection III. In section IV, we plot the production cross section according to the mass ofcharged Higgs boson for two types of THDM at the center of mass energy √ s = 100 TeVof the pp collisions. Finally, the results from the analysis of the signal and background aregiven in section V. II. CHARGED HIGGS BOSON COUPLINGS
The magnitude of the couplings for H − f i ¯ f j interactions are given by g H − q i ¯ q j ≡ g | V q i q j | [ m q i cot β (1 + γ ) + T x m q j tan β (1 − γ )] / (2 √ m W ) (1) g H − ν i l + j ≡ g | U ν i l j | [ T x m l j tan β (1 − γ )] / (2 √ m W ) (2)where V q i q j and U ν i l j are the CKM matrix elements in quark sector and PMNS matrixelements in lepton sector, respectively. The g is the weak coupling constant, the tan β is the ratio of vacuum expectation vales of the Higgs doublets. The m q and m l are thecorresponding quark and lepton masses, respectively. We use the parameter T x to identifythe type of THDM such that T I = − cot β/ tan β denotes THDM-I and T II = 1 denotesTHDM-II.The couplings for H − W + h , H − W + H and H − W + A interactions can be written by g H − W + h ≡ g cos( β − α )( p H − + p h ) / H − W + H ≡ g sin( β − α )( p H − + p H ) / g H − W + A ≡ ig ( p H − + p A ) / p h , p H , p A and p H − are the four-momenta for neutral Higgs bosons and chargedHiggs boson, respectively. We use the expression for the angle factor of cos ( β − α ) =[( m h /m Z )( m h /m Z − / [( m H /m Z − m h /m Z )( m H /m Z + m h /m Z − m A = 100 GeV and m H = m H − , PII for m A = m H = m H − ) within the THDM-I andTHDM-II. III. DECAY WIDTH AND BRANCHING RATIOS
The partial decay widths of charged Higgs boson into fermionic channels can be calculatedas Γ( H − → q i ¯ q j ) = 3 g λ / ( m H − , m q i , m q j )32 πm W m H − | V q i q j | × h ( m H − − m q j − m q i )( T x m q j tan β + m q i cot β ) − T x m q j m q i i (6)Γ( H − → ¯ ν i l − j ) = g λ / ( m H − , m l j , πm W m H − | U ν i l j | h T x ( m H − − m l j ) m l j tan β i (7)where λ / is a kinematic factor of mass squared dimension and it can be defined as λ ( m , m , m ) = [( m + m − m ) − m m ]. For the channels H − → W − h , H − → W − H and H − → W − A we calculate the decay widthsΓ( H − → W − h ) = g λ / ( m H − , m W , m h ) cos ( β − α )64 πm H − × " m W − m H − + m h ) + ( m H − − m h ) m W (8)Γ( H − → W − H ) = g λ / ( m H − , m W , m H ) sin ( β − α )64 πm H − -1
200 300 400 500 600 700 800 900 1000 Γ t o t ( G e V ) M H - (GeV) tan β =1tan β =7 Figure 1. Decay width of H ± boson depending on its mass for different values of tan β andparameter set PI of THDM-I. × " m W − m H − + m H ) + ( m H − − m H ) m W (9)Γ( H − → W − A ) = g λ / ( m H − , m W , m A )64 πm H − × " m W − m H − + m A ) + ( m H − − m A ) m W (10)The decay widths of the charged Higgs boson for the models THDM-I and THDM-II arepresented in Fig. 1-4. It is shown that the decay width for model THDM-I is larger thanthat for THDM-II in the considered parameter space. The decay width increases with thecharged Higgs boson mass for parameter PI of THDM-I, while it slightly changes dependingon the mass m H − >
300 GeV for parameter PII of THDM-I, and it is almost constant forlarge tan β . In the model THDM-II, the decay width shows a minimum around tan β ≈ m H − = 300 GeVand tan β = 7, the decay width is obtained Γ = 5 . × (3 . × − ) GeV as in Fig. 3 (4),respectively.For the parameter set PI and PII of THDM-I, the branching ratios of charged Higgsboson into different decay channels are given in Fig. 5-6. For a mass value of m A > H − → ¯ tb becomes dominant as shown in Fig. 6. Thebranching ratios are given in Fig. 7-10 for the parameter set PI and PII of THDM-II.6 -4 -3 -2 -1
200 300 400 500 600 700 800 900 1000 Γ t o t ( G e V ) M H - (GeV)tan β =1tan β =7tan β =10tan β =30tan β =50 Figure 2. Decay width of H ± boson depending on its mass for parameter set PII of model THDM-I.
10 20 30 40 50 Γ t o t ( G e V ) tan β m H - =300 GeVm H - =500 GeVm H - =700 GeVm H - =900 GeV Figure 3. Decay width of H ± boson depending on tan β for different mass of charged Higgs bosonfor parameter set PI of model THDM-II. IV. PRODUCTION CROSS SECTION AT FCC-HH COLLIDER
The ongoing searches at the LHC rely on specific production and decay mechanism thatoccupy only a part of the complete model parameter space. The cross sections for thesingle production of charged Higgs boson through the process pp → tH − + X within theTHDM-I and THDM-II are presented in Fig. 11 and 12. The characteristics of the cross7 -1
10 20 30 40 50 Γ t o t ( G e V ) tan β m H - =300 GeVm H - =500 GeVm H - =700 GeVm H - =900 GeV Figure 4. Decay width of H ± boson depending on tan β for different mass values of charged Higgsboson for parameter set PII of model THDM-II. -3 -2 -1
200 300 400 500 600 700 800 900 1000 B R ( % ) M H - (GeV) tan β =1H - → b -tH - → W - AH - → W - hH - → s -tH - → τ - ν H - → d -t Figure 5. Branching ratios to different decay modes of charged Higgs boson depending on tan β and parameter set PI of model THDM-I. sections depending on the tan β can be seen from these figures as expected from the H − f i ¯ f j interaction vertices. The cross sections have a minimum around tan β ≈ β for THDM-I. There exist large valuesof cross section σ ≃ . β = 1, however it is 0 . . β = 7within the model THDM-I (THDM-II), respectively. For large values of tan β the cross8 -3 -2 -1
200 300 400 500 600 700 800 900 1000 B R ( % ) M H - (GeV) tan β =1H - → b -tH - → W - AH - → W - hH - → s -tH - → τ - ν H - → d -t Figure 6. Branching ratios to different decay modes of charged Higgs boson depending on tan β and parameter set PII of model THDM-I. -3 -2 -1
200 300 400 500 600 700 800 900 1000 B R ( % ) M H - (GeV) tan β =1H - → b -tH - → s -tH - → d -tH - → s -cH - → τ - ν H - → W - AH - → W - h Figure 7. Branching ratios to different decay modes of charged Higgs boson depending on its massfor tan β = 1 and parameter set PI of model THDM-II. section decreases for THDM-I, while it is in the same level (comparing the cross sections attan β = 1 and tan β ≃
50) for THDM-II.In order to examine the kinematical distributions of associated b (¯ b ) quark, the transversemomentum distributions of b (¯ b ) quarks for the process pp → t ¯ tb (¯ b ) + X are presented in Fig.13 and 14 for the parameter set PI and PII of THDM-I, respectively. Fig. 15 and 16 show9 -3 -2 -1
200 300 400 500 600 700 800 900 1000 B R ( % ) M H - (GeV) tan β =7H - → b -tH - → s -tH - → b -cH - → s -cH - → τ - ν H - → µ - ν H - → W - AH - → W - h Figure 8. Branching ratios to different decay modes of charged Higgs boson depending on its massfor tan β = 7 and parameter set PI of model THDM-II. -3 -2 -1
200 300 400 500 600 700 800 900 1000 B R ( % ) M H - (GeV) tan β =1H - → b -tH - → s -tH - → d -tH - → s -cH - → τ - ν H - → W - h Figure 9. Branching ratios to different decay modes of charged Higgs boson depending on its massfor tan β = 1 for parameter set PII and model THDM-II. the pseudorapidity distributions of b (¯ b ) quarks for parameter set PI and PII of THDM-I,respectively. The invariant mass distributions m tb ( t and b (¯ b ) quark in the final state) arepresented in Fig. 17 and 18 for parameter PI and PII of THDM-I, respectively.Transverse momentum distributions of b (¯ b ) quarks are presented in Fig. 19 and 20 forparameter set PI and PII of THDM-II, respectively. Fig. 21 and 22 show the pseudorapidity10 -3 -2 -1
200 300 400 500 600 700 800 900 1000 B R ( % ) M H - (GeV) tan β =7H - → b -tH - → s -tH - → d -tH - → b -cH - → b -uH - → s -cH - → s -uH - → τ - ν H - → µ - ν H - → W - h Figure 10. Branching ratios to different decay modes of charged Higgs boson depending on its massfor tan β = 7 for parameter set PII and model THDM-II. -3 -2 -1
200 300 400 500 600 700 800 900 1000 σ ( pb ) m H - (GeV) tan β =1tan β =7tan β =10tan β =30tan β =50 Figure 11. Cross section for charged Higgs boson production within the THDM-I at FCC-hhcollider. distributions of b (¯ b ) quarks for parameter set PI and PII of THDM-II, respectively. Theinvariant mass distributions m tb (top and bottom quark in the final state) are presented inFig. 23 and 24 for parameter PI and PII of THDM-II, respectively.The cross sections for the background processes pp → t ¯ tb (¯ b ) + X , pp → t ¯ tc (¯ c ) + X and pp → t ¯ tj + X are presented in Table I for the center of mass energy √ s = 100 TeV of11 -1
200 300 400 500 600 700 800 900 1000 σ ( pb ) m H - (GeV) tan β =1tan β =7tan β =10tan β =30tan β =50tan β =60 Figure 12. Cross section for charged Higgs boson production within the THDM-II at FCC-hhcollider. -4 -3 -2 -1
100 200 300 400 500 600 d σ / dp T b ( - b ) ( pb / G e V ) p Tb( - b) (GeV) SMm H - =300 GeVm H - =500 GeVm H - =700 GeVm H - =900 GeV Figure 13. Transverse momentum distributions of b (¯ b ) quarks for set PI of THDM-I. FCC-hh collider. In the study we consider the background due to one leading b -jet. Other b -jets originating from top quark decays will have different kinematical distributions fromthe top-antitop associated leading one. In addition to the basic kinematical cuts p T > | η | < . | m tb − m H ± | ≤ . m H ± is applied for the analysis.For the calculation of background cross section ∆ σ B within the invariant mass interval12 -4 -3 -2 -1
100 200 300 400 500 600 d σ / dp T b ( - b ) ( pb / G e V ) p Tb( - b) (GeV) SMm H - =300 GeVm H - =500 GeVm H - =700 GeVm H - =900 GeV Figure 14. Transverse momentum distributions of b (¯ b ) quarks for parameter PII of THDM-I. -4 -3 -2 -1 -3 -2 -1 0 1 2 3 d σ / d η b ( - b ) ( pb ) η b( - b) SMm H - =300 GeVm H - =500 GeVm H - =700 GeVm H - =900 GeV Figure 15. Pseudorapidity distributions of b (¯ b ) quarks for set PI of THDM-I. | m tb − m H ± | ≤ . m H ± , we assume the efficiency of b -tagging to be ǫ b = 50% and therejection ratios to be 10% for c (¯ c ) quark jets and 1% for light quark jets since they areassumed to be mistagged as b -jets.In Tables II-V we present the signal cross sections ∆ σ S within the invariant mass interval | m tb − m H ± | ≤ . m H ± , for single production of charged Higgs boson in the model framework13 -1 -3 -2 -1 0 1 2 3 d σ / d η b ( - b ) ( pb ) η b( - b) SMm H - =300 GeVm H - =500 GeVm H - =700 GeVm H - =900 GeV Figure 16. Pseudorapidity distributions of b (¯ b ) quarks for parameter PII of THDM-I. -4 -3 -2 -1
200 300 400 500 600 700 800 900 1000 d σ / d m t b ( pb / G e V ) m tb (GeV) SMm H - =300 GeVm H - =500 GeVm H - =700 GeVm H - =900 GeV Figure 17. Invariant mass distributions of b (¯ b ) quarks for set PI of THDM-I. of THDM-I and THDM-II (for the parametrizations PI and PII) at FCC-hh collider with √ s = 100 TeV.The final states result from the decays of W bosons for W + W − + 3 b jet (where we assumeat least one W boson decays leptonically or both W bosons decay leptonically). In TableVI, the statistical significances S/ √ B (where S is the number of signal events and B is14 -3 -2 -1
200 300 400 500 600 700 800 900 1000 d σ / d m t b ( pb / G e V ) m tb (GeV) SMm H - =300 GeVm H - =500 GeVm H - =700 GeVm H - =900 GeV Figure 18. Invariant mass distributions of b (¯ b ) quarks for parameter PII of THDM-I. -4 -3 -2 -1
100 200 300 400 500 600 d σ / dp T b ( - b ) ( pb / G e V ) p Tb( - b) (GeV) SMm H - =300 GeVm H - =500 GeVm H - =700 GeVm H - =900 GeV Figure 19. Transverse momentum distributions of b (¯ b ) quarks for set PI of THDM-II. the number of background events) for the integrated luminosity of L int = 500 fb − , anddifferent types (THDM-I and THDM-II) and parametrizations (PI and PII) of the modelare presented.In Figures 25 - 26, we present the luminosity requirement for the signal observabilitydepending on the mass of charged Higgs boson in the channel - one W boson decays hadron-15 -4 -3 -2 -1
100 200 300 400 500 600 d σ / dp T b ( - b ) ( pb / G e V ) p Tb( - b) (GeV) SMm H - =300 GeVm H - =500 GeVm H - =700 GeVm H - =900 GeV Figure 20. Transverse momentum distributions of b (¯ b ) quarks for parameter PII of THDM-II. -2 -1 -3 -2 -1 0 1 2 3 d σ / d η b ( - b ) ( pb ) η b( - b) SMm H - =300 GeVm H - =500 GeVm H - =700 GeVm H - =900 GeV Figure 21. Pseudorapidity distributions of b (¯ b ) quarks for set PI of THDM-II. ically while the other decays leptonically (channel - both W bosons decay leptonically)for single production of charged Higgs boson within the model framework of THDM-II(parametrization PII) at FCC-hh with √ s = 100 TeV. The results are shown in differenttypes of lines for different tan β values. 16 -1 -3 -2 -1 0 1 2 3 d σ / d η b ( - b ) ( pb ) η b( - b) SMm H - =300 GeVm H - =500 GeVm H - =700 GeVm H - =900 GeV Figure 22. Pseudorapidity distributions of b (¯ b ) quarks for parameter PII of THDM-II. -3 -2 -1
200 300 400 500 600 700 800 900 1000 d σ / d m t b ( pb / G e V ) m tb (GeV) SMm H - =300 GeVm H - =500 GeVm H - =700 GeVm H - =900 GeV Figure 23. Invariant mass distributions of b (¯ b ) quarks for set PI of THDM-II. V. CONCLUSIONS
Possible extensions of the Higgs sector can be searched for a wide range of parameterspace in the high energy proton-proton collisions. The ongoing searches at the LHC rely onspecific production and decay mechanism that occupy only a part of the complete modelparameter space. The decay modes of the Higgs bosons can be well similar to the background17 -3 -2 -1
200 300 400 500 600 700 800 900 1000 d σ / d m t b ( pb / G e V ) m tb (GeV) SMm H - =300 GeVm H - =500 GeVm H - =700 GeVm H - =900 GeV Figure 24. Invariant mass distributions of b (¯ b ) quarks for parameter PII of THDM-II.Table I. The cross sections (in pb) for the background processes pp → t ¯ tb (¯ b ) + X , pp → t ¯ tc (¯ c ) + X and pp → t ¯ tj + X calculated in the invariant mass range | m tb − m H ± | ≤ . m H ± at the center ofmass energy √ s = 100 TeV. m tb (GeV) pp → t ¯ tb (¯ b ) + X pp → t ¯ tc (¯ c ) + X pp → t ¯ tj + X ∆ σ B ( pb )300 ±
30 2 . × . × . × . × ±
50 2 . × . × . × . × ±
70 1 . × . × . × . × ±
90 1 . × . × . × . × Table II. The cross sections for the signal process pp → t ¯ tb (¯ b ) + X within the THDM-I andparametrization PI calculated in the invariant mass range | m tb − m H ± | ≤ . m H ± at the center ofmass energy √ s = 100 TeV.THDM-I and PI ∆ σ S ( pb ) m tb (GeV) tan β = 1 tan β = 7 tan β = 30 tan β = 50300 ±
30 1 . × . × − . × − . × − ±
50 2 . × . × − . × − . × − ±
70 5 . × − . × − . × − . × − ±
90 1 . × − . × − . × − . × − able III. The same as II, but for the THDM-I and PII.THDM-I and PII ∆ σ S ( pb ) m tb (GeV) tan β = 1 tan β = 7 tan β = 30 tan β = 50300 ±
30 1 . × . × − . × − . × − ±
50 8 . × . × − . × − . × − ±
70 3 . × . × − . × − . × − ±
90 1 . × . × − . × − . × − Table IV. The same as II, but for the THDM-II and PI.THDM-II and PI ∆ σ S ( pb ) m tb (GeV) tan β = 1 tan β = 7 tan β = 30 tan β = 50300 ±
30 1 . × . × − . × − . × ±
50 2 . × . × − . × − . × ±
70 3 . × − . × − . × − . × − ±
90 1 . × − . × − . × − . × − reactions from top and bottom quarks and other sources. If the single production of chargedHiggs boson associated with top quark is observed at the LHC, one of the following questionsis to identify the H − t ¯ b interaction. The studies on the observables related to the angulardistribution of charged lepton in the final state and the forward-backward asymmetry canbe found in [14] and references therein. Even it seems challenging to measure preciselydue to the large hadronic background and systematic uncertainties, we look forward to its Table V. The same as II, but for the THDM-II and PII.THDM-II and PII ∆ σ S ( pb ) m tb (GeV) tan β = 1 tan β = 7 tan β = 30 tan β = 50300 ±
30 1 . × . × − . × . × ±
50 8 . × . × − . × . × ±
70 2 . × . × − . × − . × ±
90 1 . × . × − . × − . × able VI. The statistical significances S/ √ B at integrated luminosity L int = 500 fb − for differenttypes (THDM-I and THDM-II) and parametrizations (PI and PII) of the model. The numbers inthe parenthesis show the results for the channel both W -boson decay leptonically.Model (tan β = 1) THDM-I THDM-II m tb (GeV) PI PII PI PII300 ±
30 402.65 (230.73) 612.95 (351.24) 395.02 (226.35) 553.09 (316.93)500 ±
50 89.53 (51.30) 324.52 (185.96) 95.45 (54.69) 338.11 (193.75)700 ±
70 26.56 (15.22) 164.31 (94.16) 18.76 (10.75) 124.56 (71.38)900 ±
90 6.50 (3.73) 91.53 (52.45) 5.73 (3.61) 69.53 (39.84)
400 600 800 1000 1200 14000.1110100100010 m H - H GeV L L H f b - L Figure 25. The luminosity need to obtain a 3 σ significance depending on the mass of chargedHiggs boson and different tan β values (solid line for tan β = 1, dashed line for tan β = 7, dottedline for tan β = 30, dot-dashed line for tan β = 50) within the THDMs. From the decay modes t ¯ tb (¯ b ) → b jet + 2 j + l + M ET , the final state is accounted for at least 3 b -jets, 2 light jets, singlecharged lepton, and missing transverse momentum. exploitation in precision LHC physics and FCC physics scenarios. It is shown that with anintegrated luminosity of 500 fb − at the center of mass energy √ s = 100 TeV of FCC-hhcollider, the signal can be distinguished from the background for the charged Higgs boson20
00 600 800 1000 1200 14000.1110100100010 m H - H GeV L L H f b - L Figure 26. The same as Fig. 25, but for the decay modes t ¯ tb (¯ b ) → b jet + 2 l + M ET , the final stateis accounted for at least 3 b -jets, 2 opposite charged leptons and missing transverse momentum. mass up to 1 TeV for a large parameter space of two Higgs doublet model. [1] G. Aad et al. , [ATLAS Collaboration], Phys. Lett. B , 1 (2012).[2] S. Chatrchyan et al. , [CMS Collaboration], Phys. Lett. B , 30 (2012).[3] G.C. Branco et al. , Phys. Rept. , 1 (2012).[4] K.A. Olive et al. , Particle Data Group, Chinese Physics C, Vol. , No. 9, 1 (2014).[5] J.F. Gunion, H.E. Haber, G.L. Kane and S. Dawson, Front. Phys. , 1 (2000).[6] T. Hermann et al. , JHEP , 036 (2012).[7] G. Aad et al. , [ATLAS Collaboration], ATLAS-CONF-2013-090 (2013).[8] S. Chatrchyan et al. , [CMS Collaboration], CMS PAS HIG-13-026 (2013).[9] S. Chatrchyan et al. , [CMS Collaboration], CMS PAS HIG-14-020 (2014).[10] G. Aad et al. , [ATLAS Collaboration], JHEP , 088 (2015).[11] The Future Circular Collider Study Group, Kickoff Meeting, 12-15 February 2014, Universityof Geneva, Switzerland, https://indico.cern.ch/event/282344/. More information is availableon the FCC Web site: http://cern.ch/fcc.[12] A. Ball et al. , Future Circular Collider Study Hadron Collider Parameters, FCC-ACC-SPC-0001 (2014).
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