rob verheyen - peter skands

QED and EW showers in VinciaRob Verheyen

Ronald Kleiss, Peter Skands, Helen BrooksKleiss, RV 1709.04485Skands, RV 2002.04939Kleiss, RV 2002.09248Brooks, Skands, RV 2108.10786

One-slide Vincia summary1. Phase space factorisation

2. Ordering scale: Ariadne

3. Branching kernel: Antenna functions

p2⊥

d�ps =1

16⇡2�

12 (m2

IK ,m2I ,m

2K) dsij dsjk

d'

2⇡

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sab = 2pa·pb

<latexit sha1_base64="aoH63lSVFTgtuWQ4w6TGvpCjWyA=">AAACGHicbZDLSgMxFIYz9VbrbdSdboKl4KrMlIpuhKIblxXsBdphyGTSNjSTDElGKMOAz+EDuNVHcCdu3fkEvoZpOwvbeiDw8f85nHP+IGZUacf5tgpr6xubW8Xt0s7u3v6BfXjUViKRmLSwYEJ2A6QIo5y0NNWMdGNJUBQw0gnGt1O/80ikooI/6ElMvAgNOR1QjLSRfPtE+SkKMngNazD2EUz7OBQ6Mxz4dtmpOrOCq+DmUAZ5NX37px8KnESEa8yQUj3XibWXIqkpZiQr9RNFYoTHaEh6BjmKiPLS2Q0ZrBglhAMhzeMaztS/HSmKlJpEZtVKhPRILXtT8T+vl+jBlZdSHieacDwfNEgY1AJOA4EhlQRrNjGAsKRmV4hHSCKsTWwLU5Q5akTCrGSScZdzWIV2rerWqxf39XLjJs+oCE7BGTgHLrgEDXAHmqAFMHgCL+AVvFnP1rv1YX3OvxasvOcYLJT19QveT5+L</latexit>

m2ab = (pa + pb)

2

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p2? =sijsjksIK

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pI

pK

pi

pk

pj

→

aqq(sij , sjk) = 4⇡↵sCF

2

siksijsjk

� 2m2

i

s2ij� 2

m2k

s2jk+

1

sIK

✓sijsjk

+sjksij

◆!

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QED Showers

QCD vs. QED

Coherent Photon Radiation

aQED({p}, pj) = �X

{x,y}

�xQx�yQyaQEDff

(sxj , syj)

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Single branching kernel

Soft limit

Collinear limit|Mn+1(p1, .., pi, .., pn, pj)|2 = 4⇡↵Q2

i2

sijPI!ij(z)|Mn+1(p1, .., pi + pj , .., pn)|2

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|Mn+1({p}, pj)|2 = �8⇡↵X

x,y

�xQx�yQysxy

sxjsyj|Mn({p}|2

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Sectorize the phase space

|Mn+1({p}, pj)|2 = aQED({p}, pj)X

{x,y}

⇥(p2?,xy)|Mn({p}xy)|2

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p2?,xy

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is the smallest of all p2?

<latexit sha1_base64="YQRfPznNtbc2Auhy1qEVylNEgPM=">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</latexit>

x, y

<latexit sha1_base64="cJA9e5GsRxup15Huh4/YsrlToPM=">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</latexit>

does the emission

High-mass Drell-YanVincia (Coherent)Vincia (Pairing)PythiaFixed Order

0

0.0001

0.0002

0.0003

0.0004

uu → Z/γ∗→ e+e−γ (Dressed, no QCD, p⊥,γ < 5 GeV)

dσ

/d

cos(

θ∗ CS)

[pb

]

-1 -0.5 0 0.5 10.50.60.70.80.9

11.11.21.31.4

cos(θ∗CS)

Rat

io

Vincia (Coherent)Vincia (Pairing)Pythia

0

0.0001

0.0002

0.0003

0.0004

0.0005

0.0006

pp → Z/γ∗→ e+e−γ (Dressed)

dσ

/d

cos(

θ∗ CS)

[pb

]

-1 -0.5 0 0.5 10.50.60.70.80.9

11.11.21.31.4

cos(θ∗CS)

Rat

io

Electroweak Showers

EW Showers +1

−1

−1−1

+1+1

−1

−1

+1

+1

•Chiral Helicity showers Larkoski, Lopez-Villarejo, Skands 1301.0933Fischer, Lifson, Stands, 1708.01736

•EW-scale mass corrections

•Longitudinal polarisations / Goldstone bosons

•Neutral boson interference

•Double-counting between QCD and EW

•Resonance-like branchings

✏µ0 (p) =1

m

✓pµ � m2

p·kkµ

◆

<latexit sha1_base64="dUb7y776bOdqfxzWtfnM4JSsspw=">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</latexit>

pij,λij

pi,λi

pj, 0

pij,λij

pi,λi

pj, 0

pI ,�I

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pI ,�I

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Features of the EW sector

• Real corrections: EW gauge bosons, tops, Higgs part of jets

• Virtual corrections: Universal incorporation of Sudakov logs ↵

⇡ln2

�s/Q2

EW

�

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Lots of Antenna Functions

Lots of Antenna Functions (pt. 2)

Collinear Limits

P (z) / m2

(m2ij �m2

I)2

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P (z) /m2

ij

(m2ij �m2

I)2(1� z)

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�I �i �j f ! f 0V

� � � 2(v � �a)2m2

ij

(m2ij�m2

I)2

11�z

� � �� 2(v � �a)2m2

ij

(m2ij�m2

I)2

z2

1�z

� �� 2 1(m2

ij�m2I)

2

⇣mI(v � �a)

pz �mi(v + �a) 1p

z

⌘2

� �� 0

� � 0 1(m2

ij�m2I)

2

(v � �a)

⇣m2

Imj

pz � m2

imj

1pz� 2mj

pz

1�z

⌘+ (v + �a)mimI

mj

1�zpz

�2

� �� 0m2

ij

(m2ij�m2

I)2 (1� z)

⇣mimj

(v � �a)� mImj

(v + �a)⌘2

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P (z) /m2

ij

(m2ij �m2

I)2

1 + z2

1� z

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m2ij = m2

ij �m2

i

z2�

m2j

(1� z)2

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Pure vector

Pure vector

Vector + Scalar

Pure scalar

Overestimate Determination types of branchings (all FSR + ffV ISR)O(1000)

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aFFtrial =1

m2ij �m2

I

cFF1 + cFF2

1

z+ cFF3

1

1� z+ cFF4

m2I

m2ij �m2

I

�

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Parameterized overestimate

For every branching:

• Generate random branchings in random antennae• Set up linear programming system• Solve numerically

Efficient veto algorithm

Minimize aFFtrial,i � aFFi

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While 8i : aFFtrial,i > aFFi

<latexit sha1_base64="Z7/fVC53Yl61seMXWHl9V/pA8TY=">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</latexit>

Virtual Sudakov logs

10�10

10�8

10�6

10�4

10�2

d�/d

p ?,Z

[pb/G

eV]

Fid. cuts: 65 GeV < mZ < 115 GeV

p?,l > 25 GeV, |⌘l| < 3.5

pp ! ZZ ! e+e�µ+µ� (14 TeV)

Vincia (MC)Vincia + EW (MC)Vincia (fid.)Vincia + EW (fid.)

10�10

10�8

10�6

10�4

10�2

pp ! ZZ ! e+e�µ+µ� (100 TeV)

0.5

1.0

Rat

io(M

C)

0.5

1.0

102 103

p?,Z [GeV]

0.5

1.0

Rat

io(fi

d.)

102 103 104

p?,Z [GeV]

0.5

1.0

Dark Matter Decay Spectra

10�4 10�3 10�2 10�1

x = 2E/m�

10�5

10�4

10�3

10�2

x2dN

/dx

m� = 200TeV

Bauer, Rodd, WebberPythia EWVincia EW

10�4 10�3 10�2 10�1

x = 2E/m�

10�6

10�5

10�4

10�3

10�2

10�1

100

x2dN

/dx

S = �S = p+

S = e�

S = ⌫⌧

� ! ⌫e⌫e ! S Bauer, Rodd, Webber 2007.15001Comparison with analytic results

Novel features in the Electroweak Sector

Neutral Boson InterferenceInterference between and�, ZT

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h, ZL

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Shower approximationPhysical contribution

+

<latexit sha1_base64="3DnS3vImeIO9jz1IyYjxDR65oEU=">AAAB6HicbVDLSgNBEOyNrxhfUY9eBoMgCGFXInoMevGYgHlAsoTZSW8yZnZ2mZkVQsgXePGgiFc/yZt/4yTZgyYWNBRV3XR3BYng2rjut5NbW9/Y3MpvF3Z29/YPiodHTR2nimGDxSJW7YBqFFxiw3AjsJ0opFEgsBWM7mZ+6wmV5rF8MOME/YgOJA85o8ZK9YteseSW3TnIKvEyUoIMtV7xq9uPWRqhNExQrTuemxh/QpXhTOC00E01JpSN6AA7lkoaofYn80On5MwqfRLGypY0ZK7+npjQSOtxFNjOiJqhXvZm4n9eJzXhjT/hMkkNSrZYFKaCmJjMviZ9rpAZMbaEMsXtrYQNqaLM2GwKNgRv+eVV0rwse5XyVb1Sqt5mceThBE7hHDy4hircQw0awADhGV7hzXl0Xpx352PRmnOymWP4A+fzB3QdjLc=</latexit>

2

<latexit sha1_base64="KABtTuE2bHd1XLi8DfYY+6Pgzgs=">AAAB6HicbVDLTgJBEOzFF+IL9ehlIjHxRHYJRo9ELx4hkUcCGzI79MLI7OxmZtaEEL7AiweN8eonefNvHGAPClbSSaWqO91dQSK4Nq777eQ2Nre2d/K7hb39g8Oj4vFJS8epYthksYhVJ6AaBZfYNNwI7CQKaRQIbAfju7nffkKleSwfzCRBP6JDyUPOqLFSo9IvltyyuwBZJ15GSpCh3i9+9QYxSyOUhgmqdddzE+NPqTKcCZwVeqnGhLIxHWLXUkkj1P50ceiMXFhlQMJY2ZKGLNTfE1MaaT2JAtsZUTPSq95c/M/rpia88adcJqlByZaLwlQQE5P512TAFTIjJpZQpri9lbARVZQZm03BhuCtvrxOWpWyVy1fNaql2m0WRx7O4BwuwYNrqME91KEJDBCe4RXenEfnxXl3PpatOSebOYU/cD5/AH65jL4=</latexit>

• Complicated solution: Evolve density matrices

w =

<latexit sha1_base64="9EksubjQUKTLwZsYb69m8SFoIZg=">AAAB63icbVBNSwMxEJ2tX7V+VT16CRbBU9mVFr0IRS8eK9gPaJeSTbNtaJJdkqxSlv4FLx4U8eof8ua/MdvuQVsfDDzem2FmXhBzpo3rfjuFtfWNza3idmlnd2//oHx41NZRoghtkYhHqhtgTTmTtGWY4bQbK4pFwGknmNxmfueRKs0i+WCmMfUFHkkWMoJNJj2hazQoV9yqOwdaJV5OKpCjOSh/9YcRSQSVhnCsdc9zY+OnWBlGOJ2V+ommMSYTPKI9SyUWVPvp/NYZOrPKEIWRsiUNmqu/J1IstJ6KwHYKbMZ62cvE/7xeYsIrP2UyTgyVZLEoTDgyEcoeR0OmKDF8agkmitlbERljhYmx8ZRsCN7yy6ukfVH1atX6fa3SuMnjKMIJnMI5eHAJDbiDJrSAwBie4RXeHOG8OO/Ox6K14OQzx/AHzucPFXONng==</latexit>

• Simple solution: Apply event weight

→

→

Very computationally expensive

Does not get Sudakov right

γ ZTγ

2


2


ZT

2


2


⇥

<latexit sha1_base64="DFN4sfNhBNG+B7awRb3y/Saos6c=">AAAB7XicbVBNS8NAEJ3Ur1q/qh69LBbBU0mkoseiF48V7Ae0oWy2m3btZhN2J0IJ/Q9ePCji1f/jzX/jts1BWx8MPN6bYWZekEhh0HW/ncLa+sbmVnG7tLO7t39QPjxqmTjVjDdZLGPdCajhUijeRIGSdxLNaRRI3g7GtzO//cS1EbF6wEnC/YgOlQgFo2ilVg9FxE2/XHGr7hxklXg5qUCORr/81RvELI24QiapMV3PTdDPqEbBJJ+WeqnhCWVjOuRdSxW1S/xsfu2UnFllQMJY21JI5urviYxGxkyiwHZGFEdm2ZuJ/3ndFMNrPxMqSZErtlgUppJgTGavk4HQnKGcWEKZFvZWwkZUU4Y2oJINwVt+eZW0LqperXp5X6vUb/I4inACp3AOHlxBHe6gAU1g8AjP8ApvTuy8OO/Ox6K14OQzx/AHzucPuMOPPA==</latexit>

⇥


+


γ ZT

γ

2


2


ZT

2


2


⇥


⇥


+


γ ZT

γ ZT

2


⇥


⇥


+


γ ZT

Bosonic Interference

0 50 100 150 200 250 300mXX [GeV]

10�7

10�6

10�5

10�4

10�3

1/�

d�/d

mX

X[G

eV�

1]

Ee = 10 TeV

eL ! eL �/ZT ! eL XX

0 50 100 150 200 250 300mXX [GeV]

10�7

10�6

10�5

10�4

10�3

eR ! eR �/ZT ! eR XX

⌫⌫ff (Int.)ff (No int.)W+W� (Int.)W+W� (No int.)

Overlap Veto2x EW

1x QCD 1x EW

2x QCD

Last emission QCD? dLastij < min�dEWij

�

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Last emission EW? dLastij < min⇣dQCDij

⌘

<latexit sha1_base64="38Ms+e3UrXbHF7SyrpWf1cj4xe8=">AAACJHicbVC7SgNBFJ31GeMramkzGARtwq5EFLQQY2FhoWBUyMYwO7mbjM7OLjN3xbDsx9j4KzYWPrCw8VucxBS+DgwczjmXO/cEiRQGXffdGRkdG5+YLEwVp2dm5+ZLC4tnJk41hzqPZawvAmZACgV1FCjhItHAokDCeXBd6/vnN6CNiNUp9hJoRqyjRCg4Qyu1SjvtViau8svMR7jF7IgZzHO6S/1IKF9CiGs/Aye1gzz3teh0cb1VKrsVdwD6l3hDUiZDHLdKL3475mkECrlkxjQ8N8FmxjQKLiEv+qmBhPFr1oGGpYpFYJrZ4MicrlqlTcNY26eQDtTvExmLjOlFgU1GDLvmt9cX//MaKYbbzUyoJEVQ/GtRmEqKMe03RttCA0fZs4RxLexfKe8yzTjaXou2BO/3yX/J2UbFq1Y2T6rlvf1hHQWyTFbIGvHIFtkjh+SY1Aknd+SBPJFn5955dF6dt6/oiDOcWSI/4Hx8AiJLplU=</latexit>

Accept Branching

dij = min�k2T,i, k

2T,j

� �ij

R+m2

i +m2j �m2

<latexit sha1_base64="evrVvE69N8CKiX3OLGF/+ZEv86k=">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</latexit>

Double counting problem

Veto procedure

Overlap Veto

10�2

10�1

100

d�/d

�R

VV

[pb]

0.5TeV < p?,jet < 1TeV

pp ! V V j (no overlap veto)

10�2

10�1

100

pp ! V V j (overlap veto)

V V j (ME)(V V + V j) + Vincia

V V + Vincia (QCD)V j + Vincia (EW)V j + Pythia (EW)

0 1 2 3 4�RV V

100

Rat

io

0 1 2 3 4�RV V

100

Resonance Matching

• Large scales: EW shower offers best description

• Small scales:Breit-Wigner distribution

Branchings like t ! bW

<latexit sha1_base64="0Sry9IyCWpRsPgW70bMyzYTZILU=">AAAB+nicbVBNSwMxEM3Wr1q/tnr0EiyCp7Irih6LXjxWsB/QLiWbZtvQbLIks5ay9qd48aCIV3+JN/+NabsHbX0w8Hhvhpl5YSK4Ac/7dgpr6xubW8Xt0s7u3v6BWz5sGpVqyhpUCaXbITFMcMkawEGwdqIZiUPBWuHodua3Hpk2XMkHmCQsiMlA8ohTAlbquWXAXc0HQyBaqzEOcavnVryqNwdeJX5OKihHved+dfuKpjGTQAUxpuN7CQQZ0cCpYNNSNzUsIXREBqxjqSQxM0E2P32KT63Sx5HStiTgufp7IiOxMZM4tJ0xgaFZ9mbif14nheg6yLhMUmCSLhZFqcCg8CwH3OeaURATSwjV3N6K6ZBoQsGmVbIh+Msvr5LmedW/qF7eX1RqN3kcRXSMTtAZ8tEVqqE7VEcNRNEYPaNX9OY8OS/Ou/OxaC04+cwR+gPn8weSHJOP</latexit>

Z ! qq

<latexit sha1_base64="LudrldcGq/hisVTyWmAeSyaZbzw=">AAACAXicbVBNS8NAEN3Ur1q/ol4EL4tF8FQSqeix6MVjBfuBbSib7aZdutmkuxOlhHrxr3jxoIhX/4U3/43bNgdtfTDweG+GmXl+LLgGx/m2ckvLK6tr+fXCxubW9o69u1fXUaIoq9FIRKrpE80El6wGHARrxoqR0Bes4Q+uJn7jninNI3kLo5h5IelJHnBKwEgd++AOtxXv9YEoFT3gIW77RKXDMe7YRafkTIEXiZuRIspQ7dhf7W5Ek5BJoIJo3XKdGLyUKOBUsHGhnWgWEzogPdYyVJKQaS+dfjDGx0bp4iBSpiTgqfp7IiWh1qPQN50hgb6e9ybif14rgeDCS7mME2CSzhYFicAQ4UkcuMsVoyBGhhCquLkV0z5RhIIJrWBCcOdfXiT105JbLp3dlIuVyyyOPDpER+gEuegcVdA1qqIaougRPaNX9GY9WS/Wu/Uxa81Z2cw++gPr8wfn4ZaN</latexit>

, etc.

๏Matching:• Sample mass from Breit-Wigner

upon production• Suppress shower by factor

Q4

(Q2 +Q2EW)2

<latexit sha1_base64="DOsL24Xpii02jG+NgD8yfyxZLFc=">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</latexit>

BW(Q2) / m0�(m)

Q4 +m20�(m)2

<latexit sha1_base64="iNTABeiKRj26KsOqi3c+mF5tymM=">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</latexit>

• Decay when shower hits off-shellness scale

50 100 150 200 250 300 350mt [GeV]

10�6

10�5

10�4

10�3

10�2

10�1

1/�

d�/d

mt[G

eV�

1]

Et = 1 TeV

tL ! b W+

Breit-WignerShowerMatched

Interleaved Resonance Decays

Q2W→qq′

Q2

b W+

q q′

t

Q2t→bW

b q q′

Hard system Resonance system Resonance system

m2t

m2W

Q2hard

•Evolution up to offshellness scale of the resonance

•Perform resonance shower

• Insert showered decay products and continue evolution

•Complete evolution of the hard system

•Perform resonance shower

Sequential

Interleaved

Interleaved Resonance Decays

10�3

10�2

10�1

100

dN/d

⇠

ps = 500 GeV

ee ! tt (Parton level)

SequentialInterleaved, �0Interleaved, P (m)

0 2 4 6 8 10

⇠ = 2 ln(QFSRT /GeV)

0.8

1.0

1.2

Rat

io

0 2 4 6 8 10⇠

10�3

10�2

10�1

100

dN/d

⇠

Top-Quark Radiators

0 2 4 6 8⇠

Top-DecayResonance Showers

0 2 4 6 8⇠

Non-Top Radiators

Conclusions

• Rich physics & many features unique to the EW sector- EW symmetry breaking / Goldstone contributions- Matching to resonance decays- Neutral boson interference- Overlap between hard scatterings

• Many other features yet to implement- Treatment of soft & spin interference- Bloch-Nordsieck violations

QED & EW shower, and interleaved resonance decays available in Pythia 8.304

• Includes full soft multipole structure, while interleaved with QCD showerQED Shower

EW Shower

Interleaved Resonance Decays• Physically-intuitive treatment of finite-width / offshell resonances

• More results in 2108.10786

Interleaving Results

2

4

6

1/�

d�/d

mW

[GeV

�1]

⇥10�2

ps = 8 TeV

0.25

0.50

0.75

1.00

1.25

1.50

1/�

d�/d

mt[G

eV�

1]

⇥10�2

SequentialInterleaved, �0Interleaved, P (m)

�10 �5 0 5 10

mrecW � mpole

W [GeV]

0.8

1.0

1.2

Rat

io

�20 �10 0 10 20

mrect � mpole

t [GeV]

0.8

1.0

1.2

Rat

io

pp ! tt (Semileptonic, Hadron level)

rob verheyen - peter skands

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