aMC@NLO Olivier Mattelaer University of Illinois at - - PowerPoint PPT Presentation

▶
amc nlo
SMART_READER_LITE
LIVE PREVIEW

aMC@NLO Olivier Mattelaer University of Illinois at - - PowerPoint PPT Presentation

Oct 27, 2022 356 likes •950 views

UIUC aMC@NLO Olivier Mattelaer University of Illinois at Urbana-Champaign for the MadGraph/aMC@NLO team Full list of contributors: http://amcatnlo.web.cern.ch/amcatnlo/people.htm LoopFest 2013 1 UIUC Plan of the Talk aMC@NLO

slide-1
SLIDE 1

UIUC

LoopFest 2013

aMC@NLO

Olivier Mattelaer

University of Illinois at Urbana-Champaign

for the MadGraph/aMC@NLO team

Full list of contributors: http://amcatnlo.web.cern.ch/amcatnlo/people.htm

1

slide-2
SLIDE 2

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

Plan of the Talk

  • aMC@NLO

➡ MadLoop ➡ MadFKS ➡ NLO+PS

  • DEMO
  • MadSpin (decay of unstable particles)
  • Work in progress
  • Conclusion

2

slide-3
SLIDE 3

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

aMC@NLO: A Joint Venture

3

MadGraph MC@NLO CutTools FKS FKS

slide-4
SLIDE 4

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

aMC@NLO

  • Why automation?

➡ Time: Less tools, means more time for physics ➡ Robust: Easier to test, to trust ➡ Easy: One framework/tool to learn

4

slide-5
SLIDE 5

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

aMC@NLO

  • Why automation?

➡ Time: Less tools, means more time for physics ➡ Robust: Easier to test, to trust ➡ Easy: One framework/tool to learn

  • Why NLO?

➡ Reliable prediction of the total rate ➡ Reduction of the theoretical uncertainty

4

slide-6
SLIDE 6

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

aMC@NLO

  • Why automation?

➡ Time: Less tools, means more time for physics ➡ Robust: Easier to test, to trust ➡ Easy: One framework/tool to learn

  • Why NLO?

➡ Reliable prediction of the total rate ➡ Reduction of the theoretical uncertainty

  • Why matched to the PS?

➡ Parton are not an detector observables ➡ Matching cure some fix-order ill behaved observables

4

slide-7
SLIDE 7

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

NLO Virtual Real Born

NLO Basics

5

σNLO = Z

m

d(d)σV + Z

m+1

d(d)σR+ Z

m

d(4)σB

slide-8
SLIDE 8

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

NLO Virtual Real Born

NLO Basics

5

σNLO = Z

m

d(d)σV + Z

m+1

d(d)σR+ Z

m

d(4)σB

σNLO = Z

m

d(d)(σV + Z

1

dφ1C) + Z

m+1

d(d)(σR−C) + Z

m

d(4)σB

Need to deal with singularities

slide-9
SLIDE 9

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

NLO Virtual Real Born

NLO Basics

5

MadLoop MadFKS MadGraph

σNLO = Z

m

d(d)σV + Z

m+1

d(d)σR+ Z

m

d(4)σB

σNLO = Z

m

d(d)(σV + Z

1

dφ1C) + Z

m+1

d(d)(σR−C) + Z

m

d(4)σB

Need to deal with singularities

slide-10
SLIDE 10

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

MADLOOP

The virtual

6

slide-11
SLIDE 11

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

The OPP Method

  • Reduce the Amplitudes at the Integrand level.
  • Feed CutTools with loop numerator and obtain the

coefficients (including R1 Term)

  • Add R2 counter-terms.

7

N(l) =

m1

  • i0<i1<i2<i3

⇤ di0i1i2i3 + ˜ di0i1i2i3(l) ⌅

m1

⇥

i⇥=i0,i1,i2,i3

Di +

m1

  • i0<i1<i2

⇤ ci0i1i2 + ˜ ci0i1i2(l) ⌅

m1

⇥

i⇥=i0,i1,i2

Di +

m1

  • i0<i1

⇤ bi0i1 + ˜ bi0i1(l) ⌅ m1 ⇥

i⇥=i0,i1

Di +

m1

  • i0

⇤ ai0 + ˜ ai0(l) ⌅ m1 ⇥

i⇥=i0

Di + ˜ P(l)

m1

⇥

i

Di

[Ossola, Papadopoulos, Pittau 2006]

slide-12
SLIDE 12

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

OPP in a nutshell

  • In OPP reduction we reduce the system at the integrand level.
  • We can solve the system numerically: we only need a numerical function of

the (numerator of) integrand. We can set-up a system of linear equations by choosing specific values for the loop momentum l, depending on the kinematics of the event

  • OPP reduction is implemented in CutTools (publicly available). Given the

integrand, CutTools provides all the coefficients in front of the scalar integrals and the R1 term

  • The OPP reduction leads to numerical unstabilities whose origins are not

well under control. Require quadruple precision.

  • Analytic information is needed for the R2 term, but can be compute once

and for all for a given model [See C. Degrande Talk]

8

slide-13
SLIDE 13

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

MADLOOP

  • Diagram Generation

➡ Generate diagrams

with 2 extra particles

➡ Need to filter result

  • Evaluation of the Numerator:

➡ OpenLoops techniques

9

g 1 d d~ g 2 d~ g 3 d~ g 4

2>2

slide-14
SLIDE 14

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

MADLOOP

  • Diagram Generation

➡ Generate diagrams

with 2 extra particles

➡ Need to filter result

  • Evaluation of the Numerator:

➡ OpenLoops techniques

9

g 1 d d~ g 2 d~ g 3 d~ g 4

2>2

slide-15
SLIDE 15

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

MADLOOP

  • Diagram Generation

➡ Generate diagrams

with 2 extra particles

➡ Need to filter result

9

g 1 d d~ g 2 d~ g 3 d~ g 4

d~

d

2>4

slide-16
SLIDE 16

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

MADLOOP

  • Diagram Generation

➡ Generate diagrams

with 2 extra particles

➡ Need to filter result

  • Evaluation of the Numerator:

9

g 1 d d~ g 2 d~ g 3 d~ g 4

d~

d

2>4

slide-17
SLIDE 17

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

MADLOOP

  • Diagram Generation

➡ Generate diagrams

with 2 extra particles

➡ Need to filter result

  • Evaluation of the Numerator:

➡ OpenLoops techniques

9

g 1 d d~ g 2 d~ g 3 d~ g 4

d~

d

2>4

N(lµ) =

rmax

X

r=0

C(r)

µ0µ1···µrlµ0lµ1 · · · lµr

...

W 0

1

W 1

2

W 1

3

W 2

4

W 3

5

V 1

1

V 0

2

V 1

3

V 0

4

[See F. Cascioli Talk]

[S. Pozzorini & al.(2011)]

slide-18
SLIDE 18

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

MADFKS

The real

10

slide-19
SLIDE 19

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

FKS substraction

  • Find parton pairs i, j that can give

collinear singularities

  • Split the phase space into regions with
  • ne collinear singularities
  • Integrate them independently

➡ with an adhoc PS parameterization ➡ can be run in parallel

  • # of contributions ~ n^2

11 [S. Frixione, Z Kunst, A Signer (1995)]

More details in F. Caola Talk

slide-20
SLIDE 20

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

MC@NLO

Matching to the shower

12

slide-21
SLIDE 21

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

Sources of double counting

  • There is double counting between the real emission

matrix elements and the parton shower: the extra radiation can come from the matrix elements or the parton shower

  • There is also an overlap between the virtual

13

Parton shower

... ...

Born+Virtual: Real emission:

slide-22
SLIDE 22

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

14

MC@NLO procedure

Parton shower

... ...

Born+Virtual: Real emission:

  • Double counting is explicitly removed by including

the “shower subtraction terms”

dσNLOwPS dO =  dΦm(B + Z

loop

V + Z dΦ1MC)

  • I(m)

MC (O)

+  dΦm+1(R−MC)

  • I(m+1)

MC

(O)

slide-23
SLIDE 23

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

MC@NLO properties

  • Good features of including the subtraction counter terms
  • 1. Double counting avoided: The rate expanded at NLO

coincides with the total NLO cross section

  • 2. Smooth matching: MC@NLO coincides (in shape) with the

parton shower in the soft/collinear region, while it agrees with the NLO in the hard region

  • 3. Stability: weights associated to different multiplicities are

separately finite. The MC term has the same infrared behavior as the real emission (there is a subtlety for the soft divergence)

  • Not so nice feature (for the developer):
  • 1. Parton shower dependence: the form of the MC terms

depends on what the parton shower does exactly. Need special subtraction terms for each parton shower to which we want to match

15

slide-24
SLIDE 24

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

Four-lepton production

  • 4-lepton invariant mass is almost insensitive to parton shower effects.

4-lepton transverse momenta is extremely sensitive

16

[Frederix, Frixione, Hirschi, maltoni, Pittau & Torrielli (2011)]

slide-25
SLIDE 25

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

results

  • Errors are the MC integration

uncertainty only

  • Cuts on jets, γ*/Z decay

products and photons, but no cuts on b quarks (their mass regulates the IR singularities)

  • Efficient handling of exceptional

phase-space points: their uncertainty always at least two

  • rders of magnitude smaller

than the integration uncertainty

  • Running time: two weeks on

~150 node cluster leading to rather small integration uncertainties

Process µ nlf Cross section (pb) LO NLO a.1 pp → t¯ t mtop 5 123.76 ±0.05 162.08 ±0.12 a.2 pp → tj mtop 5 34.78 ±0.03 41.03 ± 0.07 a.3 pp → tjj mtop 5 11.851 ±0.006 13.71 ± 0.02 a.4 pp → t¯ bj mtop/4 4 25.62 ±0.01 30.96 ± 0.06 a.5 pp → t¯ bjj mtop/4 4 8.195 ±0.002 8.91 ± 0.01 b.1 pp → (W + →)e+νe mW 5 5072.5 ±2.9 6146.2 ±9.8 b.2 pp → (W + →)e+νe j mW 5 828.4 ±0.8 1065.3 ±1.8 b.3 pp → (W + →)e+νe jj mW 5 298.8 ±0.4 300.3 ± 0.6 b.4 pp → (γ∗/Z →)e+e− mZ 5 1007.0 ±0.1 1170.0 ±2.4 b.5 pp → (γ∗/Z →)e+e− j mZ 5 156.11 ±0.03 203.0 ± 0.2 b.6 pp → (γ∗/Z →)e+e− jj mZ 5 54.24 ±0.02 56.69 ± 0.07 c.1 pp → (W + →)e+νeb¯ b mW + 2mb 4 11.557 ±0.005 22.95 ± 0.07 c.2 pp → (W + →)e+νet¯ t mW + 2mtop 5 0.009415 ±0.000003 0.01159 ±0.00001 c.3 pp → (γ∗/Z →)e+e−b¯ b mZ + 2mb 4 9.459 ±0.004 15.31 ± 0.03 c.4 pp → (γ∗/Z →)e+e−t¯ t mZ + 2mtop 5 0.0035131 ±0.0000004 0.004876 ±0.000002 c.5 pp → γt¯ t 2mtop 5 0.2906 ±0.0001 0.4169 ±0.0003 d.1 pp → W +W − 2mW 4 29.976 ±0.004 43.92 ± 0.03 d.2 pp → W +W − j 2mW 4 11.613 ±0.002 15.174 ±0.008 d.3 pp → W +W + jj 2mW 4 0.07048 ±0.00004 0.1377 ±0.0005 e.1 pp → HW + mW + mH 5 0.3428 ±0.0003 0.4455 ±0.0003 e.2 pp → HW + j mW + mH 5 0.1223 ±0.0001 0.1501 ±0.0002 e.3 pp → HZ mZ + mH 5 0.2781 ±0.0001 0.3659 ±0.0002 e.4 pp → HZ j mZ + mH 5 0.0988 ±0.0001 0.1237 ±0.0001 e.5 pp → Ht¯ t mtop + mH 5 0.08896 ±0.00001 0.09869 ±0.00003 e.6 pp → Hb¯ b mb + mH 4 0.16510 ±0.00009 0.2099 ±0.0006 e.7 pp → Hjj mH 5 1.104 ±0.002 1.036 ± 0.002

slide-26
SLIDE 26

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

DEMO

Is it really automatic?

18

slide-27
SLIDE 27

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

DEMO

19

  • 1) Download the code
slide-28
SLIDE 28

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO
  • launch the code [./bin/mg5]

➡ Exactly like MG5 !!!

20

DEMO

slide-29
SLIDE 29

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO
  • You can enter ANY process!

➡ add [QCD] for NLO functionalities ✦ generate p p > t t~ [QCD] ✦ generate p p > e+ e- mu+ mu- [QCD] ✦ generate p p > w+ j j [QCD]

21

slide-30
SLIDE 30

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO
  • Create your aMC@NLO code

➡ output PATH

  • Run it:

➡ launch [PATH]

22

slide-31
SLIDE 31

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO
  • Create your aMC@NLO code

➡ output PATH

  • Run it:

➡ launch [PATH]

22

slide-32
SLIDE 32

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO
  • Create your aMC@NLO code

➡ output PATH

  • Run it:

➡ launch [PATH]

22

First Question:

slide-33
SLIDE 33

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO
  • Create your aMC@NLO code

➡ output PATH

  • Run it:

➡ launch [PATH]

22

Second Question:

slide-34
SLIDE 34

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO
  • The code runs:

23

Compilation Check Poles cancelation

``

slide-35
SLIDE 35

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO
  • The code runs:

23

Compilation Check Poles cancelation

``

slide-36
SLIDE 36

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO
  • The code runs:

23

Compilation Check Poles cancelation

slide-37
SLIDE 37

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

24

Integration Events Generation

slide-38
SLIDE 38

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

25

Main Results The Shower Unweight Events

slide-39
SLIDE 39

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

DEMO

Is it really automatic?

26

slide-40
SLIDE 40

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

DEMO

Is it really automatic?

26

As much as LO!

slide-41
SLIDE 41

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

MadSpin

Decay with Full Spin correlation

27

[P . Artoisenet, R. Frederix, OM, R. RietKerk (2012)]

slide-42
SLIDE 42

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

MadSpin

  • WISH-LIST:

➡ For a sample of events include the decay of unstable

final states particles.

➡ Keep full spin correlations and finite width effect ➡ Keep unweighted events

28

slide-43
SLIDE 43

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

MadSpin

  • WISH-LIST:

➡ For a sample of events include the decay of unstable

final states particles.

➡ Keep full spin correlations and finite width effect ➡ Keep unweighted events

  • Solution:

28

[Frixione, Leanen, Motylinski,Webber (2007)]

Read Event Generate Decay Unweighting Pass Write Event FAIL RETRY

|M P +D

LO

|2/|M P

LO|2

slide-44
SLIDE 44

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO
  • Fully automatic

➡ Fully integrated in MG5 [LO and NLO] ➡ Can be run in StandAlone

29

MadSpin

slide-45
SLIDE 45

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO
  • Fully automatic

➡ Fully integrated in MG5 [LO and NLO] ➡ Can be run in StandAlone

  • We plan to speed it up (target: 1s/1000evt).

29

MadSpin

slide-46
SLIDE 46

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO
  • Fully automatic

➡ Fully integrated in MG5 [LO and NLO] ➡ Can be run in StandAlone

  • We plan to speed it up (target: 1s/1000evt).
  • Example t t~ h:

29

MadSpin

0.0001 0.001 0.01 25 50 75 100 125 150 175 200 1/σ dσ/dpT(l+) [1/GeV] pT(l+) [GeV] Scalar Higgs NLO Spin correlations on LO Spin correlations on NLO Spin correlations off LO Spin correlations off 0.4 0.45 0.5 0.55 0.6

  • 1
  • 0.5

0.5 1 1/σ dσ/dcos(φ) cos(φ) Scalar Higgs NLO Spin correlations on LO Spin correlations on NLO Spin correlations off LO Spin correlations off

slide-47
SLIDE 47

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

Work in Progress in aMC@NLO

What to expect in the future

30

slide-48
SLIDE 48

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

Perspectives

31

slide-49
SLIDE 49

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

Perspectives

  • FeynRules@NLO:

31

slide-50
SLIDE 50

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

Perspectives

  • FeynRules@NLO:

➡ NLO not only for the SM but for New Physics

31

slide-51
SLIDE 51

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

Perspectives

  • FeynRules@NLO:

➡ NLO not only for the SM but for New Physics

  • ElectroWeak corrections (matched to the shower)

31

slide-52
SLIDE 52

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

Perspectives

  • FeynRules@NLO:

➡ NLO not only for the SM but for New Physics

  • ElectroWeak corrections (matched to the shower)

➡ MadLoop ready (currently in validation)

31

slide-53
SLIDE 53

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

Perspectives

  • FeynRules@NLO:

➡ NLO not only for the SM but for New Physics

  • ElectroWeak corrections (matched to the shower)

➡ MadLoop ready (currently in validation) ➡ Use ALOHA [OM & al (2011)] for bubble/Tadpole

31

slide-54
SLIDE 54

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

Perspectives

  • FeynRules@NLO:

➡ NLO not only for the SM but for New Physics

  • ElectroWeak corrections (matched to the shower)

➡ MadLoop ready (currently in validation) ➡ Use ALOHA [OM & al (2011)] for bubble/Tadpole

  • Full automation of FxFx merging [R. Frederix, S. Frixione (2012)]

31

0 → 1 rates in H0 and t¯ t production

slide-55
SLIDE 55

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

Perspectives

  • FeynRules@NLO:

➡ NLO not only for the SM but for New Physics

  • ElectroWeak corrections (matched to the shower)

➡ MadLoop ready (currently in validation) ➡ Use ALOHA [OM & al (2011)] for bubble/Tadpole

  • Full automation of FxFx merging [R. Frederix, S. Frixione (2012)]
  • Automation of loop-induced processes

31

slide-56
SLIDE 56

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

Perspectives

  • FeynRules@NLO:

➡ NLO not only for the SM but for New Physics

  • ElectroWeak corrections (matched to the shower)

➡ MadLoop ready (currently in validation) ➡ Use ALOHA [OM & al (2011)] for bubble/Tadpole

  • Full automation of FxFx merging [R. Frederix, S. Frixione (2012)]
  • Automation of loop-induced processes
  • Interface to Pythia8

31

slide-57
SLIDE 57

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

Perspectives

  • FeynRules@NLO:

➡ NLO not only for the SM but for New Physics

  • ElectroWeak corrections (matched to the shower)

➡ MadLoop ready (currently in validation) ➡ Use ALOHA [OM & al (2011)] for bubble/Tadpole

  • Full automation of FxFx merging [R. Frederix, S. Frixione (2012)]
  • Automation of loop-induced processes
  • Interface to Pythia8
  • Complex mass scheme

31

slide-58
SLIDE 58

UIUC

  • O. Mattelaer, LoopFest 2013 aMC@NLO

Conclusion

  • aMC@NLO is

➡ public ➡ automatic ➡ flexible

  • MadSpin

➡ decay with full spin

correlations

➡ keep finite width

effect

  • This is only the

beginning of this Tool!

32

Process µ nlf Cross section (pb) LO NLO a.1 pp → t¯ t mtop 5 123.76 ±0.05 162.08 ±0.12 a.2 pp → tj mtop 5 34.78 ±0.03 41.03 ± 0.07 a.3 pp → tjj mtop 5 11.851 ±0.006 13.71 ± 0.02 a.4 pp → t¯ bj mtop/4 4 25.62 ±0.01 30.96 ± 0.06 a.5 pp → t¯ bjj mtop/4 4 8.195 ±0.002 8.91 ± 0.01 b.1 pp → (W + →)e+νe mW 5 5072.5 ±2.9 6146.2 ±9.8 b.2 pp → (W + →)e+νe j mW 5 828.4 ±0.8 1065.3 ±1.8 b.3 pp → (W + →)e+νe jj mW 5 298.8 ±0.4 300.3 ± 0.6 b.4 pp → (γ∗/Z →)e+e− mZ 5 1007.0 ±0.1 1170.0 ±2.4 b.5 pp → (γ∗/Z →)e+e− j mZ 5 156.11 ±0.03 203.0 ± 0.2 b.6 pp → (γ∗/Z →)e+e− jj mZ 5 54.24 ±0.02 56.69 ± 0.07 c.1 pp → (W + →)e+νeb¯ b mW + 2mb 4 11.557 ±0.005 22.95 ± 0.07 c.2 pp → (W + →)e+νet¯ t mW + 2mtop 5 0.009415 ±0.000003 0.01159 ±0.00001 c.3 pp → (γ∗/Z →)e+e−b¯ b mZ + 2mb 4 9.459 ±0.004 15.31 ± 0.03 c.4 pp → (γ∗/Z →)e+e−t¯ t mZ + 2mtop 5 0.0035131 ±0.0000004 0.004876 ±0.000002 c.5 pp → γt¯ t 2mtop 5 0.2906 ±0.0001 0.4169 ±0.0003 d.1 pp → W +W − 2mW 4 29.976 ±0.004 43.92 ± 0.03 d.2 pp → W +W − j 2mW 4 11.613 ±0.002 15.174 ±0.008 d.3 pp → W +W + jj 2mW 4 0.07048 ±0.00004 0.1377 ±0.0005 e.1 pp → HW + mW + mH 5 0.3428 ±0.0003 0.4455 ±0.0003 e.2 pp → HW + j mW + mH 5 0.1223 ±0.0001 0.1501 ±0.0002 e.3 pp → HZ mZ + mH 5 0.2781 ±0.0001 0.3659 ±0.0002 e.4 pp → HZ j mZ + mH 5 0.0988 ±0.0001 0.1237 ±0.0001 e.5 pp → Ht¯ t mtop + mH 5 0.08896 ±0.00001 0.09869 ±0.00003 e.6 pp → Hb¯ b mb + mH 4 0.16510 ±0.00009 0.2099 ±0.0006 e.7 pp → Hjj mH 5 1.104 ±0.002 1.036 ± 0.002