CERN has proposed to build a large Future Circular Collider (FCC), with a circumference, which in its first phase would collide electrons and positrons with beam energies up to 175 GeV. a) Calculate the maximum centre-of-mass energy. b) This collider could produce top quarks and Higgs bosons. Draw a Feynman diagram for the production of a to pair and of a Higgs boson in associated production with a Z boson. Calculate the minimum beam energy needed to produce a to pair and a Higgs boson in association with a Z boson. c) For the Higgs boson we want to measure the decay into various types of quarks. The total Higgs branching ratio into quark-antiquark pairs is 60%. Neglecting phase space considerations or higher orders, estimate the Higgs branching ratio into bb pairs. Write down the calculations to derive the estimate. d) The cross section for ete → ZH at Ecms = 240 GeV is 190 fb. Calculate the number of ZH pairs produced if the FCC collects data at this centre-of-mass energy corresponding to an integrated luminosity of 10000 fb-1. Calculate the number of ZH pairs expected with Zand H→ bb. e) The Higgs boson can also be produced at the FCC via vector-boson-fusion, similar to the process at the LHC but starting with an electron and a positron instead. Draw a Feynman diagram of such an interaction. State, which additional particles are expected in the final state, if the Higgs decays into bb.
CERN has proposed to build a large Future Circular Collider (FCC), with a circumference, which in its first phase would collide electrons and positrons with beam energies up to 175 GeV. a) Calculate the maximum centre-of-mass energy. b) This collider could produce top quarks and Higgs bosons. Draw a Feynman diagram for the production of a to pair and of a Higgs boson in associated production with a Z boson. Calculate the minimum beam energy needed to produce a to pair and a Higgs boson in association with a Z boson. c) For the Higgs boson we want to measure the decay into various types of quarks. The total Higgs branching ratio into quark-antiquark pairs is 60%. Neglecting phase space considerations or higher orders, estimate the Higgs branching ratio into bb pairs. Write down the calculations to derive the estimate. d) The cross section for ete → ZH at Ecms = 240 GeV is 190 fb. Calculate the number of ZH pairs produced if the FCC collects data at this centre-of-mass energy corresponding to an integrated luminosity of 10000 fb-1. Calculate the number of ZH pairs expected with Zand H→ bb. e) The Higgs boson can also be produced at the FCC via vector-boson-fusion, similar to the process at the LHC but starting with an electron and a positron instead. Draw a Feynman diagram of such an interaction. State, which additional particles are expected in the final state, if the Higgs decays into bb.
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ISBN:9781305952300
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Transcribed Image Text:CERN has proposed to build a large Future Circular Collider (FCC), with a circumference, which
in its first phase would collide electrons and positrons with beam energies up to 175 GeV.
a) Calculate the maximum centre-of-mass energy.
b) This collider could produce top quarks and Higgs bosons. Draw a Feynman diagram for
the production of a to pair and of a Higgs boson in associated production with a Z boson.
Calculate the minimum beam energy needed to produce a to pair and a Higgs boson in
association with a Z boson.
c) For the Higgs boson we want to measure the decay into various types of quarks. The
total Higgs branching ratio into quark-antiquark pairs is 60%. Neglecting phase space
considerations or higher orders, estimate the Higgs branching ratio into bb pairs. Write
down the calculations to derive the estimate.
d) The cross section for ete → ZH at Ecms = 240 GeV is 190 fb. Calculate the number of
ZH pairs produced if the FCC collects data at this centre-of-mass energy corresponding
to an integrated luminosity of 10000 fb-1. Calculate the number of ZH pairs expected with
Zand H→ bb.
e) The Higgs boson can also be produced at the FCC via vector-boson-fusion, similar to the
process at the LHC but starting with an electron and a positron instead. Draw a Feynman
diagram of such an interaction. State, which additional particles are expected in the final
state, if the Higgs decays into bb.
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