Towards ruling out the charged Higgs interpretation of the %$ {R}_{D^{\left(\ast \right)}} %$ anomaly
Abstract Motivated by the notorious anomaly in the lepton flavor universality ratios %$ {R}_{D^{\left(\ast \right)}} %$, we study the sensitivity of the Large Hadron Collider (LHC) to a low-mass charged Higgs boson H− lighter than 400 GeV in a generic two Higgs doublet model. A combination of curren...
Ausführliche Beschreibung
Autor*in: |
Blanke, Monika [verfasserIn] |
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E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2022 |
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Anmerkung: |
© The Author(s) 2022 |
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Übergeordnetes Werk: |
Enthalten in: Journal of high energy physics - Berlin : Springer, 1997, 2022(2022), 6 vom: 08. Juni |
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Übergeordnetes Werk: |
volume:2022 ; year:2022 ; number:6 ; day:08 ; month:06 |
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DOI / URN: |
10.1007/JHEP06(2022)043 |
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Katalog-ID: |
SPR047236981 |
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520 | |a Abstract Motivated by the notorious anomaly in the lepton flavor universality ratios %$ {R}_{D^{\left(\ast \right)}} %$, we study the sensitivity of the Large Hadron Collider (LHC) to a low-mass charged Higgs boson H− lighter than 400 GeV in a generic two Higgs doublet model. A combination of current constraints from the Bc→ τν decay, Bs meson mixing data, tau sleptons and di-jet searches at the LHC allows to explain the %$ {R}_{D^{\left(\ast \right)}} %$ anomaly at the 1σ level by a low-mass charged Higgs. In this context, we estimate the reach of an LHC search for resonant H− production, where the final state contains an energetic τ lepton decaying hadronically, a neutrino with large transverse momentum, and an additional b-jet (pp → b + τh + ν). Requiring the additional b-tagged jet in the τν resonance search profits from the suppression of the Standard Model background, and therefore it allows us to judge the low-mass H− interpretation of the %$ {R}_{D^{\left(\ast \right)}} %$ anomaly. To demonstrate this, we perform a fast collider simulation for the τν resonance search with an additional b-tagged jet, and find that most of the interesting parameter region of the whole mass range can already be probed with the current integrated luminosity of 139 $ fb^{−1} $. | ||
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10.1007/JHEP06(2022)043 doi (DE-627)SPR047236981 (SPR)JHEP06(2022)043-e DE-627 ger DE-627 rakwb eng Blanke, Monika verfasserin (orcid)0000-0003-0413-4455 aut Towards ruling out the charged Higgs interpretation of the %$ {R}_{D^{\left(\ast \right)}} %$ anomaly 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract Motivated by the notorious anomaly in the lepton flavor universality ratios %$ {R}_{D^{\left(\ast \right)}} %$, we study the sensitivity of the Large Hadron Collider (LHC) to a low-mass charged Higgs boson H− lighter than 400 GeV in a generic two Higgs doublet model. A combination of current constraints from the Bc→ τν decay, Bs meson mixing data, tau sleptons and di-jet searches at the LHC allows to explain the %$ {R}_{D^{\left(\ast \right)}} %$ anomaly at the 1σ level by a low-mass charged Higgs. In this context, we estimate the reach of an LHC search for resonant H− production, where the final state contains an energetic τ lepton decaying hadronically, a neutrino with large transverse momentum, and an additional b-jet (pp → b + τh + ν). Requiring the additional b-tagged jet in the τν resonance search profits from the suppression of the Standard Model background, and therefore it allows us to judge the low-mass H− interpretation of the %$ {R}_{D^{\left(\ast \right)}} %$ anomaly. To demonstrate this, we perform a fast collider simulation for the τν resonance search with an additional b-tagged jet, and find that most of the interesting parameter region of the whole mass range can already be probed with the current integrated luminosity of 139 $ fb^{−1} $. Bottom Quarks (dpeaa)DE-He213 Lepton Flavour Violation (charged) (dpeaa)DE-He213 Multi-Higgs Models (dpeaa)DE-He213 Semi-Leptonic Decays (dpeaa)DE-He213 Iguro, Syuhei (orcid)0000-0002-8295-9623 aut Zhang, Hantian (orcid)0000-0002-7472-6467 aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2022(2022), 6 vom: 08. Juni (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2022 year:2022 number:6 day:08 month:06 https://dx.doi.org/10.1007/JHEP06(2022)043 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2022 2022 6 08 06 |
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10.1007/JHEP06(2022)043 doi (DE-627)SPR047236981 (SPR)JHEP06(2022)043-e DE-627 ger DE-627 rakwb eng Blanke, Monika verfasserin (orcid)0000-0003-0413-4455 aut Towards ruling out the charged Higgs interpretation of the %$ {R}_{D^{\left(\ast \right)}} %$ anomaly 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract Motivated by the notorious anomaly in the lepton flavor universality ratios %$ {R}_{D^{\left(\ast \right)}} %$, we study the sensitivity of the Large Hadron Collider (LHC) to a low-mass charged Higgs boson H− lighter than 400 GeV in a generic two Higgs doublet model. A combination of current constraints from the Bc→ τν decay, Bs meson mixing data, tau sleptons and di-jet searches at the LHC allows to explain the %$ {R}_{D^{\left(\ast \right)}} %$ anomaly at the 1σ level by a low-mass charged Higgs. In this context, we estimate the reach of an LHC search for resonant H− production, where the final state contains an energetic τ lepton decaying hadronically, a neutrino with large transverse momentum, and an additional b-jet (pp → b + τh + ν). Requiring the additional b-tagged jet in the τν resonance search profits from the suppression of the Standard Model background, and therefore it allows us to judge the low-mass H− interpretation of the %$ {R}_{D^{\left(\ast \right)}} %$ anomaly. To demonstrate this, we perform a fast collider simulation for the τν resonance search with an additional b-tagged jet, and find that most of the interesting parameter region of the whole mass range can already be probed with the current integrated luminosity of 139 $ fb^{−1} $. Bottom Quarks (dpeaa)DE-He213 Lepton Flavour Violation (charged) (dpeaa)DE-He213 Multi-Higgs Models (dpeaa)DE-He213 Semi-Leptonic Decays (dpeaa)DE-He213 Iguro, Syuhei (orcid)0000-0002-8295-9623 aut Zhang, Hantian (orcid)0000-0002-7472-6467 aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2022(2022), 6 vom: 08. Juni (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2022 year:2022 number:6 day:08 month:06 https://dx.doi.org/10.1007/JHEP06(2022)043 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2022 2022 6 08 06 |
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10.1007/JHEP06(2022)043 doi (DE-627)SPR047236981 (SPR)JHEP06(2022)043-e DE-627 ger DE-627 rakwb eng Blanke, Monika verfasserin (orcid)0000-0003-0413-4455 aut Towards ruling out the charged Higgs interpretation of the %$ {R}_{D^{\left(\ast \right)}} %$ anomaly 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract Motivated by the notorious anomaly in the lepton flavor universality ratios %$ {R}_{D^{\left(\ast \right)}} %$, we study the sensitivity of the Large Hadron Collider (LHC) to a low-mass charged Higgs boson H− lighter than 400 GeV in a generic two Higgs doublet model. A combination of current constraints from the Bc→ τν decay, Bs meson mixing data, tau sleptons and di-jet searches at the LHC allows to explain the %$ {R}_{D^{\left(\ast \right)}} %$ anomaly at the 1σ level by a low-mass charged Higgs. In this context, we estimate the reach of an LHC search for resonant H− production, where the final state contains an energetic τ lepton decaying hadronically, a neutrino with large transverse momentum, and an additional b-jet (pp → b + τh + ν). Requiring the additional b-tagged jet in the τν resonance search profits from the suppression of the Standard Model background, and therefore it allows us to judge the low-mass H− interpretation of the %$ {R}_{D^{\left(\ast \right)}} %$ anomaly. To demonstrate this, we perform a fast collider simulation for the τν resonance search with an additional b-tagged jet, and find that most of the interesting parameter region of the whole mass range can already be probed with the current integrated luminosity of 139 $ fb^{−1} $. Bottom Quarks (dpeaa)DE-He213 Lepton Flavour Violation (charged) (dpeaa)DE-He213 Multi-Higgs Models (dpeaa)DE-He213 Semi-Leptonic Decays (dpeaa)DE-He213 Iguro, Syuhei (orcid)0000-0002-8295-9623 aut Zhang, Hantian (orcid)0000-0002-7472-6467 aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2022(2022), 6 vom: 08. Juni (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2022 year:2022 number:6 day:08 month:06 https://dx.doi.org/10.1007/JHEP06(2022)043 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2022 2022 6 08 06 |
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10.1007/JHEP06(2022)043 doi (DE-627)SPR047236981 (SPR)JHEP06(2022)043-e DE-627 ger DE-627 rakwb eng Blanke, Monika verfasserin (orcid)0000-0003-0413-4455 aut Towards ruling out the charged Higgs interpretation of the %$ {R}_{D^{\left(\ast \right)}} %$ anomaly 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract Motivated by the notorious anomaly in the lepton flavor universality ratios %$ {R}_{D^{\left(\ast \right)}} %$, we study the sensitivity of the Large Hadron Collider (LHC) to a low-mass charged Higgs boson H− lighter than 400 GeV in a generic two Higgs doublet model. A combination of current constraints from the Bc→ τν decay, Bs meson mixing data, tau sleptons and di-jet searches at the LHC allows to explain the %$ {R}_{D^{\left(\ast \right)}} %$ anomaly at the 1σ level by a low-mass charged Higgs. In this context, we estimate the reach of an LHC search for resonant H− production, where the final state contains an energetic τ lepton decaying hadronically, a neutrino with large transverse momentum, and an additional b-jet (pp → b + τh + ν). Requiring the additional b-tagged jet in the τν resonance search profits from the suppression of the Standard Model background, and therefore it allows us to judge the low-mass H− interpretation of the %$ {R}_{D^{\left(\ast \right)}} %$ anomaly. To demonstrate this, we perform a fast collider simulation for the τν resonance search with an additional b-tagged jet, and find that most of the interesting parameter region of the whole mass range can already be probed with the current integrated luminosity of 139 $ fb^{−1} $. Bottom Quarks (dpeaa)DE-He213 Lepton Flavour Violation (charged) (dpeaa)DE-He213 Multi-Higgs Models (dpeaa)DE-He213 Semi-Leptonic Decays (dpeaa)DE-He213 Iguro, Syuhei (orcid)0000-0002-8295-9623 aut Zhang, Hantian (orcid)0000-0002-7472-6467 aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2022(2022), 6 vom: 08. Juni (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2022 year:2022 number:6 day:08 month:06 https://dx.doi.org/10.1007/JHEP06(2022)043 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2022 2022 6 08 06 |
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10.1007/JHEP06(2022)043 doi (DE-627)SPR047236981 (SPR)JHEP06(2022)043-e DE-627 ger DE-627 rakwb eng Blanke, Monika verfasserin (orcid)0000-0003-0413-4455 aut Towards ruling out the charged Higgs interpretation of the %$ {R}_{D^{\left(\ast \right)}} %$ anomaly 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2022 Abstract Motivated by the notorious anomaly in the lepton flavor universality ratios %$ {R}_{D^{\left(\ast \right)}} %$, we study the sensitivity of the Large Hadron Collider (LHC) to a low-mass charged Higgs boson H− lighter than 400 GeV in a generic two Higgs doublet model. A combination of current constraints from the Bc→ τν decay, Bs meson mixing data, tau sleptons and di-jet searches at the LHC allows to explain the %$ {R}_{D^{\left(\ast \right)}} %$ anomaly at the 1σ level by a low-mass charged Higgs. In this context, we estimate the reach of an LHC search for resonant H− production, where the final state contains an energetic τ lepton decaying hadronically, a neutrino with large transverse momentum, and an additional b-jet (pp → b + τh + ν). Requiring the additional b-tagged jet in the τν resonance search profits from the suppression of the Standard Model background, and therefore it allows us to judge the low-mass H− interpretation of the %$ {R}_{D^{\left(\ast \right)}} %$ anomaly. To demonstrate this, we perform a fast collider simulation for the τν resonance search with an additional b-tagged jet, and find that most of the interesting parameter region of the whole mass range can already be probed with the current integrated luminosity of 139 $ fb^{−1} $. Bottom Quarks (dpeaa)DE-He213 Lepton Flavour Violation (charged) (dpeaa)DE-He213 Multi-Higgs Models (dpeaa)DE-He213 Semi-Leptonic Decays (dpeaa)DE-He213 Iguro, Syuhei (orcid)0000-0002-8295-9623 aut Zhang, Hantian (orcid)0000-0002-7472-6467 aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2022(2022), 6 vom: 08. Juni (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2022 year:2022 number:6 day:08 month:06 https://dx.doi.org/10.1007/JHEP06(2022)043 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2022 2022 6 08 06 |
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Blanke, Monika |
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Blanke, Monika misc Bottom Quarks misc Lepton Flavour Violation (charged) misc Multi-Higgs Models misc Semi-Leptonic Decays Towards ruling out the charged Higgs interpretation of the %$ {R}_{D^{\left(\ast \right)}} %$ anomaly |
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Towards ruling out the charged Higgs interpretation of the %$ {R}_{D^{\left(\ast \right)}} %$ anomaly Bottom Quarks (dpeaa)DE-He213 Lepton Flavour Violation (charged) (dpeaa)DE-He213 Multi-Higgs Models (dpeaa)DE-He213 Semi-Leptonic Decays (dpeaa)DE-He213 |
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Towards ruling out the charged Higgs interpretation of the %$ {R}_{D^{\left(\ast \right)}} %$ anomaly |
abstract |
Abstract Motivated by the notorious anomaly in the lepton flavor universality ratios %$ {R}_{D^{\left(\ast \right)}} %$, we study the sensitivity of the Large Hadron Collider (LHC) to a low-mass charged Higgs boson H− lighter than 400 GeV in a generic two Higgs doublet model. A combination of current constraints from the Bc→ τν decay, Bs meson mixing data, tau sleptons and di-jet searches at the LHC allows to explain the %$ {R}_{D^{\left(\ast \right)}} %$ anomaly at the 1σ level by a low-mass charged Higgs. In this context, we estimate the reach of an LHC search for resonant H− production, where the final state contains an energetic τ lepton decaying hadronically, a neutrino with large transverse momentum, and an additional b-jet (pp → b + τh + ν). Requiring the additional b-tagged jet in the τν resonance search profits from the suppression of the Standard Model background, and therefore it allows us to judge the low-mass H− interpretation of the %$ {R}_{D^{\left(\ast \right)}} %$ anomaly. To demonstrate this, we perform a fast collider simulation for the τν resonance search with an additional b-tagged jet, and find that most of the interesting parameter region of the whole mass range can already be probed with the current integrated luminosity of 139 $ fb^{−1} $. © The Author(s) 2022 |
abstractGer |
Abstract Motivated by the notorious anomaly in the lepton flavor universality ratios %$ {R}_{D^{\left(\ast \right)}} %$, we study the sensitivity of the Large Hadron Collider (LHC) to a low-mass charged Higgs boson H− lighter than 400 GeV in a generic two Higgs doublet model. A combination of current constraints from the Bc→ τν decay, Bs meson mixing data, tau sleptons and di-jet searches at the LHC allows to explain the %$ {R}_{D^{\left(\ast \right)}} %$ anomaly at the 1σ level by a low-mass charged Higgs. In this context, we estimate the reach of an LHC search for resonant H− production, where the final state contains an energetic τ lepton decaying hadronically, a neutrino with large transverse momentum, and an additional b-jet (pp → b + τh + ν). Requiring the additional b-tagged jet in the τν resonance search profits from the suppression of the Standard Model background, and therefore it allows us to judge the low-mass H− interpretation of the %$ {R}_{D^{\left(\ast \right)}} %$ anomaly. To demonstrate this, we perform a fast collider simulation for the τν resonance search with an additional b-tagged jet, and find that most of the interesting parameter region of the whole mass range can already be probed with the current integrated luminosity of 139 $ fb^{−1} $. © The Author(s) 2022 |
abstract_unstemmed |
Abstract Motivated by the notorious anomaly in the lepton flavor universality ratios %$ {R}_{D^{\left(\ast \right)}} %$, we study the sensitivity of the Large Hadron Collider (LHC) to a low-mass charged Higgs boson H− lighter than 400 GeV in a generic two Higgs doublet model. A combination of current constraints from the Bc→ τν decay, Bs meson mixing data, tau sleptons and di-jet searches at the LHC allows to explain the %$ {R}_{D^{\left(\ast \right)}} %$ anomaly at the 1σ level by a low-mass charged Higgs. In this context, we estimate the reach of an LHC search for resonant H− production, where the final state contains an energetic τ lepton decaying hadronically, a neutrino with large transverse momentum, and an additional b-jet (pp → b + τh + ν). Requiring the additional b-tagged jet in the τν resonance search profits from the suppression of the Standard Model background, and therefore it allows us to judge the low-mass H− interpretation of the %$ {R}_{D^{\left(\ast \right)}} %$ anomaly. To demonstrate this, we perform a fast collider simulation for the τν resonance search with an additional b-tagged jet, and find that most of the interesting parameter region of the whole mass range can already be probed with the current integrated luminosity of 139 $ fb^{−1} $. © The Author(s) 2022 |
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