QCD as a service to Higgs physics -1 s = 14 TeV, 3000 fb per - - PowerPoint PPT Presentation

QCD as a service to Higgs physics

Expected relative uncertainty

0.02 0.04 0.06 0.08 0.1 0.12 0.14

Expected uncertainty

γ Z

κ

µ

κ

τ

κ

b

κ

t

κ

g

κ

Z

κ

W

κ

γ

κ

9.8 4.3 1.9 3.7 3.4 2.5 1.5 1.7 1.8

6.4 7.2 1.7 1.7 3.8 1.0 1.5 0.9 0.8 3.2 1.3 1.3 3.1 0.9 1.1 2.1 0.9 0.8 1.2 0.7 0.6 1.3 0.8 0.7 1.3 0.8 1.0

Tot Stat Exp Th Uncertainty [%]

CMS and ATLAS

HL-LHC Projection

per experiment

• 1

= 14 TeV, 3000 fb s

Total Statistical Experimental Theory

2% 4%

Sorry for lack of references… Reduction by a factor

• f 2 assumed!

ATLAS 3000 fb−1 uncertainty [%] Total Stat SigTh BkgTh Exp κγ S1 3.7 0.9 2.2 1.4 2.5 S2 2.4 0.9 1.1 0.9 1.7 κW S1 3.1 0.8 1.9 1.9 1.3 S2 2.2 0.8 1.2 1.3 1.2 κZ S1 2.6 0.8 1.8 1.2 1.1 S2 1.8 0.8 1.0 0.8 0.9 κg S1 4.2 1.0 3.2 2.2 1.4 S2 3.1 1.0 2.2 1.6 1.2 κt S1 6.3 1.1 4.9 3.4 1.6 S2 4.2 1.1 2.6 2.7 1.4 κb S1 6.2 1.6 3.7 4.1 2.3 S2 4.4 1.6 2.1 2.8 2.0 κτ S1 3.7 1.1 2.6 1.8 1.7 S2 2.7 1.1 1.5 1.2 1.6 κµ S1 7.7 6.4 3.6 1.4 1.9 S2 7.0 6.4 2.0 0.9 1.8 κZγ S1 12.7 10.2 6.9 1.4 2.5 S2 12.4 10.2 6.4 0.9 2.4 CMS 3000 fb−1 uncertainty [%] Total Stat SigTh BkgTh Exp κγ S1 2.9 1.1 1.8 1.0 1.7 S2 2.0 1.1 0.9 0.8 1.2 κW S1 2.6 1.0 1.7 1.1 1.1 S2 1.8 1.0 0.9 0.8 0.8 κZ S1 2.4 1.0 1.7 0.9 0.9 S2 1.7 1.0 0.9 0.7 0.7 κg S1 4.0 1.1 3.4 1.3 1.2 S2 2.5 1.1 1.7 1.1 1.0 κt S1 5.5 1.0 4.4 2.7 1.6 S2 3.5 1.0 2.2 2.1 1.2 κb S1 6.0 2.0 4.3 2.9 2.3 S2 4.0 2.0 2.0 2.2 1.8 κτ S1 2.8 1.2 1.8 1.1 1.4 S2 2.0 1.2 1.0 0.9 1.0 κµ S1 6.7 4.7 2.5 1.0 3.9 S2 5.0 4.7 1.3 0.8 1.1

ATLAS 3000 fb−1 uncertainty [%] Total Stat Exp SigTh BkgTh σggH S1 3.5 0.8 2.1 2.1 1.6 S2 2.4 0.8 1.7 1.2 1.0 σVBF S1 5.5 2.0 2.7 3.7 2.1 S2 4.2 2.0 2.3 2.2 1.7 σWH S1 9.3 4.0 4.0 5.1 5.4 S2 7.7 4.0 3.4 3.3 4.5 σZH S1 6.2 3.4 2.4 3.4 3.0 S2 4.8 3.4 1.8 2.0 2.1 σttH S1 6.7 1.9 3.1 3.7 4.3 S2 5.3 1.9 2.8 2.4 3.3 CMS 3000 fb−1 uncertainty [%] Total Stat Exp SigTh BkgTh σggH S1 2.4 0.8 1.2 1.6 0.9 S2 1.7 0.8 0.9 0.9 0.6 σVBF S1 4.1 2.6 2.1 2.0 1.3 S2 3.5 2.6 1.6 1.8 0.3 σWH S1 8.1 4.6 5.2 2.6 3.3 S2 6.4 4.6 3.2 1.5 2.7 σZH S1 6.7 3.9 2.1 4.3 2.5 S2 5.4 3.9 1.7 2.4 2.3 σttH S1 5.8 1.8 3.1 1.9 4.1 S2 4.6 1.8 2.4 1.1 3.4

ATLAS 3000 fb−1 relative uncertainty [%] Total Stat Exp SigTh BkgTh Bγγ S1 6.0 1.2 4.7 3.3 1.4 S2 3.7 1.2 2.9 1.8 0.6 BWW S1 5.8 1.0 2.8 4.3 2.6 S2 4.4 1.0 2.4 3.2 1.6 BZZ S1 5.3 1.6 3.0 3.7 1.7 S2 3.8 1.6 2.7 1.9 1.0 Bbb S1 7.6 2.0 2.4 5.0 4.7 S2 5.0 2.0 1.9 2.8 3.2 Bττ S1 6.0 1.7 2.7 4.4 2.4 S2 4.4 1.7 2.5 2.8 1.7 Bµµ S1 14.9 12.7 3.2 6.8 0.3 S2 13.7 12.7 3.2 3.7 0.3 BZγ S1 24.2 20.3 4.5 12.2 0.0 S2 24.2 20.3 4.5 12.2 0.0 CMS 3000 fb−1 relative uncertainty [%] Total Stat Exp SigTh BkgTh Bγγ S1 4.4 1.3 2.6 3.3 0.3 S2 3.0 1.3 1.7 1.9 0.3 BWW S1 4.0 1.0 1.4 3.5 1.0 S2 2.8 1.0 1.1 2.2 0.9 BZZ S1 5.0 1.6 2.5 3.5 1.9 S2 3.2 1.6 1.7 2.1 0.7 Bbb S1 7.0 2.1 2.3 5.2 3.6 S2 4.7 2.1 1.7 2.4 2.9 Bττ S1 3.9 1.6 1.9 2.6 1.5 S2 2.9 1.6 1.4 1.9 0.6 Bµµ S1 12.8 9.1 7.6 4.7 0.8 S2 9.6 9.1 1.7 2.6 0.8

gg→H

20 40 60 80 100 2 4 6 8 10 12 Collider Energy / TeV i/total×100%

(scale) (PDF-TH) (EW) (t,b,c) (1/mt) (PDF+s)

pp→ZH

Table 10: Cross-section for the process pp → ZH. The predictions for the gg → ZH channel are computed at LO, rescaled by the NLO K-factor in the mt → ∞ limit, and supplemented by the NLLsoft

• resummation. The photon contribution is omitted. Results are given for a Higgs boson mass mH =

125.09 GeV. √s [TeV ] σNNLO QCD⊗NLO EW [pb] ∆scale [%] ∆PDF⊕αs [%] 13 0.880

+3.50 −2.68

1.65 14 0.981

+3.61 −2.94

1.90 27 2.463

+5.42 −4.00

2.24

Important for HZZ and Hbb couplings Dominant uncertainty from gg→ZH

gg→ZH

(a) (b) (c) (d) (e) (f) (g)

Loop induced NLO difficult! Might be possible with new methods?

Towards a new approximation for pair-production and associated-production of the Higgs boson

Xiaofeng Xua, Li Lin Yanga,b,c

Determining arbitrary Feynman integrals by vacuum integrals

Xiao Liu1, ∗ and Yan-Qing Ma1, 2, 3, †

H→bb

GA GB GC GD

Uncertainty for Higgs width and Hbb coupling Mixed QCD-EW ongoing Two-loop EW?

pp→ttH (signal)

Table 15: NLO QCD+EW cross sections for t¯ tH production at the 13 TeV LHC, taken from Ref. [45]. mH [GeV ] σNLO

QCD+EW [fb]

Scale [%] αs [%] PDF [%] PDF+αs [%] 124.59 512.2

+5.8 −9.2

2.0 3.0 3.6 125.09 506.5

+5.8 −9.2

2.0 3.0 3.6 125.59 500.7

+5.8 −9.2

2.0 3.0 3.6

Missing higher orders dominate

pp→ttH (signal)

Table 15: NLO QCD+EW cross sections for t¯ tH production at the 13 TeV LHC, taken from Ref. [45]. mH [GeV ] σNLO

QCD+EW [fb]

Scale [%] αs [%] PDF [%] PDF+αs [%] 124.59 512.2

+5.8 −9.2

2.0 3.0 3.6 125.09 506.5

+5.8 −9.2

2.0 3.0 3.6 125.59 500.7

+5.8 −9.2

2.0 3.0 3.6

Missing higher orders dominate

LHC 13 TeV μf ,0=M 2 μf ,0=M

NLO NLL NNLL nNLO NLO NLL NNLL nNLO 350 400 450 500 550 600

σ [pb]

NNLL resummation for the associated production of a top pair and a Higgs boson at the LHC

Alessandro Broggio,a, Andrea Ferroglia,b,c Ben D. Pecjak,d and Li Lin Yange,f,g

NLO+NNLL known, but more analysis necessary (scale choice, higher order resummation, etc.)

pp→ttH (signal)

Table 15: NLO QCD+EW cross sections for t¯ tH production at the 13 TeV LHC, taken from Ref. [45]. mH [GeV ] σNLO

QCD+EW [fb]

Scale [%] αs [%] PDF [%] PDF+αs [%] 124.59 512.2

+5.8 −9.2

2.0 3.0 3.6 125.09 506.5

+5.8 −9.2

2.0 3.0 3.6 125.59 500.7

+5.8 −9.2

2.0 3.0 3.6

Missing higher orders dominate

LHC 13 TeV μf ,0=M 2 μf ,0=M

NLO NLL NNLL nNLO NLO NLL NNLL nNLO 350 400 450 500 550 600

σ [pb]

NNLL resummation for the associated production of a top pair and a Higgs boson at the LHC

Alessandro Broggio,a, Andrea Ferroglia,b,c Ben D. Pecjak,d and Li Lin Yange,f,g

NLO+NNLL known, but more analysis necessary (scale choice, higher order resummation, etc.) NNLO highly wanted!

pp→ttH (background)

¯ b b t ¯ t

Dominant t¯ tH theory systematics from t¯ t + b-jet background to t¯ tH(b¯ b)

Theory progress on t¯ tH(b¯ b) background

Stefano Pozzorini

Stefan Pozzorini @ TOP2018 Only NLO is known at the moment! Resummation? NNLO? Clever scale choice to minimize higher orders?

pp→ttH (background)

Renormalization group improved predictions for t¯ tW ± production at hadron colliders

Hai Tao Li,1 Chong Sheng Li,1, 2, ∗ and Shi Ang Li1

Associated production of a top pair and a W boson at next-to-next-to-leading logarithmic accuracy.

Alessandro Broggio,a Andrea Ferroglia,b,c Giovanni Ossola,b,c and Ben D. Pecjakd

pp→ttH (background)

Renormalization group improved predictions for t¯ tW ± production at hadron colliders

Hai Tao Li,1 Chong Sheng Li,1, 2, ∗ and Shi Ang Li1

Associated production of a top pair and a W boson at next-to-next-to-leading logarithmic accuracy.

Alessandro Broggio,a Andrea Ferroglia,b,c Giovanni Ossola,b,c and Ben D. Pecjakd

Large NLO corrections in t¯ tW ± and t¯ tt¯ t hadroproduction from supposedly subleading EW contributions

Rikkert Frederix,a Davide Pagani,a and Marco Zarob,c,d

aTechnische Universität München, James-Franck-Str. 1, D-85748 Garching, Germany bNikhef, Science Park 105, NL-1098 XG Amsterdam, The Netherlands cSorbonne Universités, UPMC Univ. Paris 06, UMR 7589, LPTHE, F-75005, Paris, France dCNRS, UMR 7589, LPTHE, F-75005, Paris, France

Abstract: We calculate the complete-NLO predictions for t¯ tW ± and t¯ tt¯ t production in proton–proton collisions at 13 and 100 TeV. All the non-vanishing contributions of O(αi

sαj)

with i+j = 3, 4 for t¯ tW ± and i+j = 4, 5 for t¯ tt¯ t are evaluated without any approximation. For t¯ tW ± we find that, due to the presence of tW → tW scattering, at 13(100) TeV the O(αsα3) contribution is about 12(70)% of the LO, i.e., it is larger than the so-called NLO EW corrections (the O(α2

sα2) terms) and has opposite sign. In the case of t¯

tt¯ t production, large contributions from electroweak scattering are already present at LO in the

O(αsα3) > O(α2

sα2)

pp→HH

g g h h f (1A) (1B) (1C) (1D) (1E)

Higgs boson pair production in the D = 6 extension of the SM

Florian Goertz,1,2 Andreas Papaefstathiou,2,3 Li Lin Yang,4,5,6 José Zurita.7

pp→HH

g g h h f (1A) (1B) (1C) (1D) (1E)

Higgs boson pair production in the D = 6 extension of the SM

Florian Goertz,1,2 Andreas Papaefstathiou,2,3 Li Lin Yang,4,5,6 José Zurita.7

Higgs boson pair production in non-linear Effective Field Theory with full mt-dependence at NLO QCD

• G. Buchalla,a M. Capozi,b A. Celis,a G. Heinrich,b L. Scybozb

Purely numeric method Slow for phenomenological analysis

pp→HH

g g h h f (1A) (1B) (1C) (1D) (1E)

Higgs boson pair production in the D = 6 extension of the SM

Florian Goertz,1,2 Andreas Papaefstathiou,2,3 Li Lin Yang,4,5,6 José Zurita.7

Higgs boson pair production in non-linear Effective Field Theory with full mt-dependence at NLO QCD

• G. Buchalla,a M. Capozi,b A. Celis,a G. Heinrich,b L. Scybozb

Purely numeric method Slow for phenomenological analysis

Towards a new approximation for pair-production and associated-production of the Higgs boson

Xiaofeng Xua, Li Lin Yanga,b,c

Determining arbitrary Feynman integrals by vacuum integrals

Xiao Liu1, ∗ and Yan-Qing Ma1, 2, 3, †

Faster methods?

Further important and interesting things

• PDFs
• NNNLO PDFs (cross sections and splitting functions)
• Double parton distributions?
• Differential distributions (especially high energy tails)
• More sensitive to new physics
• Large corrections from both QCD and EW
• Relationship and combination of resummation and parton shower
• Higher logarithmic accuracy for parton shower?

Further important and interesting things

• QCD at future Z and/or Higgs factories
• Better measurement of the strong coupling
• Input for electroweak precision tests
• Input for precision Higgs measurements
• Event shapes and jet physics
• Theoretically interesting things
• AdS/CFT?
• Entanglement entropy in jets and PDFs