GoSam 2.0 Gudrun Heinrich Max Planck Institute for Physics, Munich - - PowerPoint PPT Presentation

gosam 2 0
SMART_READER_LITE
LIVE PREVIEW

GoSam 2.0 Gudrun Heinrich Max Planck Institute for Physics, Munich - - PowerPoint PPT Presentation

Automated one-loop calculations with GoSam 2.0 Gudrun Heinrich Max Planck Institute for Physics, Munich In collaboration with G.Cullen, H.van Deurzen, N.Greiner, G.Luisoni, P. Mastrolia, E. Mirabella, G. Ossola, T. Peraro, J. Reichel, J.


slide-1
SLIDE 1

GoSam 2.0

LoopFest 2014 New York City College of Technology

Automated one-loop calculations with Gudrun Heinrich Max Planck Institute for Physics, Munich

In collaboration with G.Cullen, H.van Deurzen, N.Greiner, G.Luisoni, P. Mastrolia, E. Mirabella, G. Ossola,

  • T. Peraro, J. Reichel, J. Schlenk, J.F. von Soden-Fraunhofen, F. Tramontano
slide-2
SLIDE 2

Particle physics after the Higgs discovery

  • Beyond the Standard Model
  • how to find out in the absence
  • f “smoking gun” signals ?
  • the big question: is there

something beyond the clouds (SM) ?

slide-3
SLIDE 3

Particle physics after the Higgs discovery

  • Beyond the Standard Model
  • how to find out in the absence
  • f “smoking gun” signals ?
  • the big question: is there

something beyond the clouds (SM) ?

  • the key is precision
  • higher order corrections (QCD, EW)
  • reduction of PDF uncertainties
  • N(N)LO + parton shower matching
  • quark mass effects
  • . . .
slide-4
SLIDE 4

Particle physics after the Higgs discovery

  • Beyond the Standard Model
  • how to find out in the absence
  • f “smoking gun” signals ?
  • the big question: is there

something beyond the clouds (SM) ?

  • the key is precision
  • higher order corrections (QCD, EW)
  • reduction of PDF uncertainties
  • N(N)LO + parton shower matching
  • quark mass effects
  • . . .
slide-5
SLIDE 5

NLO automation

  • already entered “phase 2”:
  • NLO matched to parton shower is new state of the art
  • moved from “proof of concept” multi-particle one-loop

calculations towards validated automated tools with direct link to phenomenological analysis/experiment

many automated NLO tools, e.g. FeynArts/FormCalc, Grace, BlackHat, Helac-NLO, aMC@NLO, NJet, OpenLoops, Recola, VBFNLO, MCFM, ... , GoSam

slide-6
SLIDE 6

GoSam-2.0

example input file for

e+e− → t ¯ t

program available at

very simple usage

http://gosam.hepforge.org

arXiv:1404.7096

slide-7
SLIDE 7

GoSam-2.0

example input file for

e+e− → t ¯ t

program available at

very simple usage

http://gosam.hepforge.org

arXiv:1404.7096

slide-8
SLIDE 8

Interface to Monte Carlo programs

both original Binoth-Les-Houches-Accord and extended standards [CPC 185 (2014)] are supported

allows combination with different MC programs

slide-9
SLIDE 9

Interface to Monte Carlo programs

both original Binoth-Les-Houches-Accord and extended standards [CPC 185 (2014)] are supported

allows combination with different MC programs

important BLHA2 feature important BLHA2 feature

slide-10
SLIDE 10

Examples of processes calculated with GoSam

  • GoSam + MadDipole/MadGraph/MadEvent
  • GoSam + Sherpa
  • GoSam + Powheg
  • GoSam + MadDipole/MadGraph/MadEvent + Sherpa

pp → W +W − + 2 jets

pp → ˜ χ0

1 ˜

χ0

1 + jet

pp → γγ + 1, 2 jets pp → HH + 2 jets pp → (G → γγ) + 1 jet

pp → H + 3 jets

pp → HW/HZ + 0, 1 jet

pp → H + 2 jets

pp → W +W − b¯ b

pp → t¯ t + 0, 1 jet pp → H t¯ t + 0, 1 jet

pp → W +W + + 2 jets

  • GoSam + Herwig++/Matchbox (includes shower)

pp → Z + jet

[Greiner, GH, Mastrolia, Ossola, Reiter, Tramontano '12] [Cullen, Greiner, GH '12] [Greiner, GH, Reichel, von Soden-Fraunhofen '13] [Gehrmann, Greiner, GH '13] [Dolan, Englert, Greiner, Spannowsky '13] [Greiner, GH, Luisoni, Mastrolia, Ossola, Reiter, Tramontano '12]

[van Deurzen, Greiner, Luisoni, Mastrolia, Mirabella, Ossola, Peraro, von Soden-Fraunhofen, Tramontano '13]

[GH, Maier, Nisius, Schlenk, Winter '13] [Höche, Huang, Luisoni, Schönherr, Winter '13] [van Deurzen, Luisoni, Mastrolia, Mirabella, Ossola, Peraro '13] [Luisoni, Nason, Oleari, Tramontano '13]

[Cullen, van Deurzen, Greiner, Luisoni, Mastrolia, Mirabella, Ossola, Peraro, Tramontano '13]

[Bellm, Gieseke, Greiner, GH, Plätzer, Reuschle, von Soden-Fraunhofen ‘13] (includes shower) (includes shower)

slide-11
SLIDE 11

New features of GoSam 2.0

  • Improvements in code generation

more compact code, faster evaluation

slide-12
SLIDE 12

New features of GoSam 2.0

  • Improvements in code generation

more compact code, faster evaluation

  • New reduction methods

more flexibility and stability, improved system to detect and rescue unstable points

slide-13
SLIDE 13

New features of GoSam 2.0

  • Improvements in code generation

more compact code, faster evaluation

  • New reduction methods

more flexibility and stability, improved system to detect and rescue unstable points

  • Extended range of applicability

EW schemes, complex masses, effective vertices, higher tensor ranks, BSM physics

slide-14
SLIDE 14

New features of GoSam 2.0

  • Improvements in code generation

more compact code, faster evaluation

  • Easy installation

installation script installs and builds the code and all libraries

  • New reduction methods

more flexibility and stability, improved system to detect and rescue unstable points

  • Extended range of applicability

EW schemes, complex masses, effective vertices, higher tensor ranks, BSM physics

slide-15
SLIDE 15

New code generation methods

  • code optimisation with FORM version 4
  • construction of “meta-diagrams” from

diagrams sharing common substructures

share a tree sub-diagram share a loop sub-diagram [Vermaseren, Kuipers, Ueda, Vollinga ]

slide-16
SLIDE 16

New reduction methods basic idea:

extract the coefficients of the residues of a loop integral by performing a Laurent expansion of the integrand

[Mastrolia, Mirabella, Peraro ’12]

implemented in the code Ninja [T. Peraro ’14]

slide-17
SLIDE 17

New reduction methods basic idea:

extract the coefficients of the residues of a loop integral by performing a Laurent expansion of the integrand

[Mastrolia, Mirabella, Peraro ’12]

implemented in the code Ninja [T. Peraro ’14]

see talk of Tiziano Peraro this afternoon

slide-18
SLIDE 18

Reduction methods

  • in GoSam-2.0 several reduction libraries available:
  • Ninja
  • switch between different reduction algorithms “on the fly”

⇒ flexible rescue system for problematic points

[van Deurzen, Luisoni, Mastrolia, Mirabella, Ossola, Peraro '13, Peraro ’14]

  • Golem95C
  • Samurai

[Mastrolia, Ossola, Reiter, Tramontano '10] [Binoth, Cullen, Guillet, GH, Pilon, Reiter et al. ’08, ’11] use tensor reduction when integrand reduction does not pass stability test integrand reduction integrand reduction tensor reduction (+tensorial reconstruction) [GH, Ossola, Reiter, Tramontano '10] Golem95C:

slide-19
SLIDE 19

Reduction methods

  • in GoSam-2.0 several reduction libraries available:
  • Ninja
  • switch between different reduction algorithms “on the fly”

⇒ flexible rescue system for problematic points

[van Deurzen, Luisoni, Mastrolia, Mirabella, Ossola, Peraro '13, Peraro ’14]

  • Golem95C
  • Samurai

[Mastrolia, Ossola, Reiter, Tramontano '10] [Binoth, Cullen, Guillet, GH, Pilon, Reiter et al. ’08, ’11] use tensor reduction when integrand reduction does not pass stability test integrand reduction integrand reduction tensor reduction (+tensorial reconstruction) [GH, Ossola, Reiter, Tramontano '10] Golem95C: all ¡reduction ¡programs, ¡ ¡Ninja, Golem95C, Samurai have ¡been ¡extended ¡to ¡support ¡ higher ¡rank ¡integrals van Deurzen, Mastrolia, Mirabella, Ossola, Peraro '13, ’14 Ninja, Samurai:

new:

Golem95C:

Guillet, GH, von Soden-Fraunhofen '13

slide-20
SLIDE 20

higher rank tensor integrals

  • needed for example in
  • effective theories
  • BSM models involving spin-2 particles

with r ≥ N + 1

graviton

rank five box integral due to graviton-g-g coupling mt → ∞

− →

slide-21
SLIDE 21

new range of applicability

  • electroweak scheme choice
slide-22
SLIDE 22

new range of applicability

  • electroweak scheme choice
  • support of complex masses

complex masses/parameters in generated code and in loop integrals supported

m2

V → µ2 V = m2 V − imV ΓV ,

V = W, Z

cos2 θW = µ2

W /µ2 Z

slide-23
SLIDE 23

new range of applicability

  • electroweak scheme choice
  • support of complex masses

complex masses/parameters in generated code and in loop integrals supported

m2

V → µ2 V = m2 V − imV ΓV ,

V = W, Z

cos2 θW = µ2

W /µ2 Z

  • colour- and spin-correlated tree amplitudes

can be used e.g. to build subtraction terms for NLO real radiation

[Bellm, Gieseke, Greiner, GH, Plätzer, Reuschle, von Soden-Fraunhofen ‘13]

slide-24
SLIDE 24

BSM applications of GoSam

pp → (graviton → γγ) + 1 jet

within ADD models of large extra dimensions [Greiner, GH, Reichel, von Soden-Fraunhofen '13] non-standard propagator for gravitons ⇒ customspin2prop in GoSam import of model file in UFO (Universal Feynrules Output [Degrande, Duhr et al.] ) format involves up to rank 5 box integrals, complicated tensor structure

slide-25
SLIDE 25

BSM applications of GoSam

pp → (graviton → γγ) + 1 jet

within ADD models of large extra dimensions [Greiner, GH, Reichel, von Soden-Fraunhofen '13] non-standard propagator for gravitons ⇒ customspin2prop in GoSam import of model file in UFO (Universal Feynrules Output [Degrande, Duhr et al.] ) format

  • nly task for the user:

specify format and path to model file in input card, e.g.

involves up to rank 5 box integrals, complicated tensor structure

slide-26
SLIDE 26

BSM applications of GoSam

pp → (graviton → γγ) + 1 jet

within ADD models of large extra dimensions [Greiner, GH, Reichel, von Soden-Fraunhofen '13] non-standard propagator for gravitons ⇒ customspin2prop in GoSam import of model file in UFO (Universal Feynrules Output [Degrande, Duhr et al.] ) format

  • nly task for the user:

specify format and path to model file in input card, e.g.

involves up to rank 5 box integrals, complicated tensor structure

slide-27
SLIDE 27

BSM applications of GoSam pp → ˜ χ0

1 ˜

χ0

1 + jet

[Cullen, Greiner, GH ’13]

(SUSY QCD corrections)

  • full off-shell effects included
  • complicated phase space structure

signature: monojet + missing ET

u(k1) u(k2) χ1

0(k3)

χ1

0(k4)

g(k5) ˜ g ˜ u1 ˜ u1 ˜ u1 u u(k1) u(k2) χ0

1(k3)

χ0

1(k4)

g(k5) u g ˜ u4 g u

angle between leading jet and missing momentum

  • UFO model file import,

renormalisation done separately

  • complex masses
slide-28
SLIDE 28

SM applications of GoSam

pp → W +W − b¯ b

[GH, Maier, Nisius, Schlenk, Winter '13]

investigate influence of non-factorizing and non-resonant contributions on

top mass determination

[Bevilacqua, Czakon, van Hameren, Papadopoulos, Worek '11]

[Denner, Dittmaier, Kallweit, Pozzorini '11]

  • leptonic W-decays (resonant)
  • use

for mass measurement, following ATLAS-CONF-2013-77

  • analysis is sensitive to the shape of

the distribution (normalized)

(mb = 0)

(template method)

GoSam + Sherpa

slide-29
SLIDE 29
  • compare full versus factorized calculation for observable mlb

full (WWbb) factorized ( )

t¯ t

shape differences in full calculation, amplified by scale variations, have important consequences on uncertainties on mtop

slide-30
SLIDE 30
  • compare full versus factorized calculation for observable mlb

full (WWbb) factorized ( )

t¯ t

[GeV]

in t

m 165 170 175 180 [GeV]

in t

  • m
  • ut

t

m

  • 4
  • 3
  • 2
  • 1

1 2 3 4

0.3 GeV ± NLO pseudo-data with NLO templates, offset 0.1 NLO scale variation with NLO templates 0.3 GeV ± NLO pseudo-data with LO templates, offset -1.9 NLO scale variation with LO templates

  • 1

L H C 7 T e V 4 . 7 f b / 2 , M S T W 2 8 ( n ) l

  • p

d f

T

H =

R/F

µ , b b

  • W

+

W

  • shift between NLO / LO template fit: ~1.9 GeV (full) vs. ~0.5 (factorized)

[ G e V ]

i n t

m 1 6 5 1 7 1 7 5 1 8 [ G e V ]

i n t

  • m
  • u

t t

m

  • 1

1 2 3

. 2 G e V ± N L O p s e u d

  • d

a t a w i t h N L O t e m p l a t e s ,

  • f

f s e t . 1 N L O s c a l e v a r i a t i

  • n

w i t h N L O t e m p l a t e s . 2 G e V ± N L O p s e u d

  • d

a t a w i t h L O t e m p l a t e s ,

  • f

f s e t . 5 N L O s c a l e v a r i a t i

  • n

w i t h L O t e m p l a t e s

  • 1

LHC 7 TeV 4.7 fb 172.5 GeV, MSTW 2008(n)lo pdf =

t

= m

R / F

µ , t t

  • uncertainties from scale variations larger in full approach: GeV (full) vs. GeV (factorized)

+0.6 −1.0

±0.2

slide-31
SLIDE 31

Installation and usage of GoSam

wget http://gosam.hepforge.org/gosam-installer/gosam_installer.py installation script downloads GoSam and reduction libraries and installs everything chmod +x gosam_installer.py ./gosam_installer.py [--prefix=installation_path]

installation script will also install FORM [J.Vermaseren et al.] and QGraf [P. Nogueira] if not present already

installation:

slide-32
SLIDE 32

Installation and usage of GoSam

wget http://gosam.hepforge.org/gosam-installer/gosam_installer.py installation script downloads GoSam and reduction libraries and installs everything chmod +x gosam_installer.py ./gosam_installer.py [--prefix=installation_path]

installation script will also install FORM [J.Vermaseren et al.] and QGraf [P. Nogueira] if not present already

installation: usage:

create template for input file process.in: process.in

gosam.py --template

edit input file process.in

gosam.py process.in

to generate amplitude (standalone): example input file:

many more options available, will take defaults if not set

within BLHA:

gosam.py --olp order.lh

slide-33
SLIDE 33

Summary

new version GoSam-2.0: efficient, multi-purpose, automated tool for

  • ne-loop multi-leg calculations
  • more compact code, faster evaluation times
  • large range of applicability: QCD, electroweak, BSM

(higher rank integrals, complex masses, model file import)

  • new reduction method (library Ninja)
  • refined stability tests and rescue systems
  • can also produce spin-and colour correlated tree amplitudes
  • large flexibility for combination with Monte Carlo programs
  • easy installation and usage

provides all building blocks for NLO real radiation

slide-34
SLIDE 34

Summary

new version GoSam-2.0: efficient, multi-purpose, automated tool for

  • ne-loop multi-leg calculations
  • more compact code, faster evaluation times
  • large range of applicability: QCD, electroweak, BSM

(higher rank integrals, complex masses, model file import)

  • new reduction method (library Ninja)
  • refined stability tests and rescue systems
  • can also produce spin-and colour correlated tree amplitudes
  • large flexibility for combination with Monte Carlo programs
  • easy installation and usage

looking forward to a multitude of phenomenological applications !

provides all building blocks for NLO real radiation

slide-35
SLIDE 35

Additional Slides

slide-36
SLIDE 36

GoSam input card options

slide-37
SLIDE 37

stability tests and rescue system

14 12 10 8 6 4 0.0001 0.001 0.01 0.1 15 10 5 0.02 0.04 0.06 0.08 0.10 0.12

  • pole test :
  • rotation test:

red: Ninja, blue: Golem95C, green: Samurai

  • GoSam default: reduction with Ninja, rescue with golem95C

Ppole = − log10(δpole)

  • three thresholds P_high (default 8), P_low (default 3), P_set (default 5)
  • if P_pole > P_high: accept
  • if P_pole < P_low: discard
  • if P_high > P_pole > P_low: do rotation test, discard if P_rot < P_set

uu → gHuu

example from log10(δrot) log10(δrot)

slide-38
SLIDE 38
slide-39
SLIDE 39

pp → (graviton → γγ) + 1 jet