“…In this chapter, we summarize studies detailed in e.g. [6,128,129,130,131] on the impact the FCC-ee will have on our knowledge of the strong force. The main QCD physics possibilities include: (i) α S (m 2 Z ) strong coupling extractions with permil uncertainties, (ii) parton radiation and parton-tohadron fragmentation functions (splitting functions at NNLO, small-z NNLL resummations, global FF fits, parton shower MC generators, .…”
Section: Editors: D D'enterria and S Enomentioning
confidence: 99%
“…The authors of Ref. [131] note that jet grooming techniques may reduce hadronization and other nonperturbative uncertainties, although a systematic study of these techniques at FCC-ee energies is needed.…”
In this white paper for the 2021 Snowmass process, we give a description of the proposed Future Circular Collider (FCC) project and its physics program. The paper summarizes and updates the discussion submitted to the European Strategy on Particle Physics. After construction of an ≈ 90 km tunnel, an electronpositron collider based on established technologies allows world-record instantaneous luminosities at center-of-mass energies from the Z resonance through the ZH and WW and up to tt thresholds, enabling a very rich set of fundamental measurements including Higgs couplings determinations at the subpercent level, precision tests of the weak and strong forces, and searches for new particles, including dark matter, both directly and via virtual corrections or mixing. Among other possibilities, the FCC-ee will be able to (i) indirectly discover new particles coupling to the Higgs and/or electroweak bosons up to scales Λ ≈ 7 and 50 TeV, respectively; (ii) perform competitive SUSY tests at the loop level in regions not accessible at the LHC; (iii) study heavy-flavor and tau physics in ultra-rare decays beyond the LHC reach, and (iv) achieve the best potential in direct collider searches for dark matter, sterile neutrinos, and axion-like particles with masses up to ≈ 90 GeV. The tunnel can then be reused for a proton-proton collider, establishing record center-of-mass collision energy, allowing unprecedented reach for direct searches for new particles up to the ≈ 50 TeV scale, and a diverse program of measurements of the Standard Model and Higgs boson, including a precision measurement of the Higgs self-coupling, and conclusively testing weakly-interacting massive particle scenarios of thermal relic dark matter. The FCC-ee and FCC-hh physics and accelerator programs are remarkably synergistic and complementary. The program builds on the stable funding provided by the CERN member states and the existing, long-standing worldwide partnerships built via the LHC, but requires substantial contributions both intellectual and financial from the US and other non-CERN-members to become a reality. 8.3.3 Decays of the tau to three muons and to a muon and a photon . . .
“…In this chapter, we summarize studies detailed in e.g. [6,128,129,130,131] on the impact the FCC-ee will have on our knowledge of the strong force. The main QCD physics possibilities include: (i) α S (m 2 Z ) strong coupling extractions with permil uncertainties, (ii) parton radiation and parton-tohadron fragmentation functions (splitting functions at NNLO, small-z NNLL resummations, global FF fits, parton shower MC generators, .…”
Section: Editors: D D'enterria and S Enomentioning
confidence: 99%
“…The authors of Ref. [131] note that jet grooming techniques may reduce hadronization and other nonperturbative uncertainties, although a systematic study of these techniques at FCC-ee energies is needed.…”
In this white paper for the 2021 Snowmass process, we give a description of the proposed Future Circular Collider (FCC) project and its physics program. The paper summarizes and updates the discussion submitted to the European Strategy on Particle Physics. After construction of an ≈ 90 km tunnel, an electronpositron collider based on established technologies allows world-record instantaneous luminosities at center-of-mass energies from the Z resonance through the ZH and WW and up to tt thresholds, enabling a very rich set of fundamental measurements including Higgs couplings determinations at the subpercent level, precision tests of the weak and strong forces, and searches for new particles, including dark matter, both directly and via virtual corrections or mixing. Among other possibilities, the FCC-ee will be able to (i) indirectly discover new particles coupling to the Higgs and/or electroweak bosons up to scales Λ ≈ 7 and 50 TeV, respectively; (ii) perform competitive SUSY tests at the loop level in regions not accessible at the LHC; (iii) study heavy-flavor and tau physics in ultra-rare decays beyond the LHC reach, and (iv) achieve the best potential in direct collider searches for dark matter, sterile neutrinos, and axion-like particles with masses up to ≈ 90 GeV. The tunnel can then be reused for a proton-proton collider, establishing record center-of-mass collision energy, allowing unprecedented reach for direct searches for new particles up to the ≈ 50 TeV scale, and a diverse program of measurements of the Standard Model and Higgs boson, including a precision measurement of the Higgs self-coupling, and conclusively testing weakly-interacting massive particle scenarios of thermal relic dark matter. The FCC-ee and FCC-hh physics and accelerator programs are remarkably synergistic and complementary. The program builds on the stable funding provided by the CERN member states and the existing, long-standing worldwide partnerships built via the LHC, but requires substantial contributions both intellectual and financial from the US and other non-CERN-members to become a reality. 8.3.3 Decays of the tau to three muons and to a muon and a photon . . .
“…Being theoretically clean and feasible to high perturbative order computations, the thrust distribution is particularly suitable for the precise determination of the strong coupling α s (M Z ) [2][3][4][5][6][7][8][9] and has been frequently measured at e + e − colliders with small experimental uncertainties. The precise extraction of the α s with unprecedented accuracy will continue to be the major scientific pillar at future e + e − facilities [10].…”
We compute the O(α 3 s ) double-real-virtual (RRV) and double-virtual-real (VVR) soft contributions to the thrust/zero-jettiness event shape. The result clears up one of the most stubborn obstacles toward the complete O(α 3 s ) thrust soft function. The results presented here serve the key input to realize the next-to-next-to-next-to-leading logarithmic prime (N 3 LL') and even the next-to-next-to-next-to-next-to-leading logarithmic (N 4 LL) resummation of the thrust event shape. The obtained results also constitute the important ingredients of the N -jettiness-subtraction scheme at next-to-next-to-next-to-leading order (N 3 LO).
We compute the $$ \mathcal{O} $$
O
($$ {\alpha}_s^3 $$
α
s
3
) double-real-virtual (RRV) and double-virtual-real (VVR) soft contributions to the thrust/zero-jettiness event shape. The result clears up one of the most stubborn obstacles toward the complete $$ \mathcal{O} $$
O
($$ {\alpha}_s^3 $$
α
s
3
) thrust soft function. The results presented here serve the key input to realize the next-to-next-to-next-to-leading logarithmic prime (N3LL’) resummation of the thrust event shape. The obtained results also constitutes the important ingredients of the N -jettiness-subtraction scheme at next-to-next-to-next-to-leading order (N3LO).
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