Single Top in the SMEFT Rhea Moutafis July 11, 2019 OVERVIEW - - PowerPoint PPT Presentation

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Single Top in the SMEFT Rhea Moutafis July 11, 2019 OVERVIEW - - PowerPoint PPT Presentation

Jan 31, 2024 118 likes •531 views

Workshop on Standard Model Effective Theory Single Top in the SMEFT Rhea Moutafis July 11, 2019 OVERVIEW Introduction SMEFT Basics Relevant Operators Correlated Uncertainties Results Conclusion 2 INTRODUCTION 3 INTRODUCTION at LHC:

slide-1
SLIDE 1

Single Top in the SMEFT

Workshop on Standard Model Effective Theory Rhea Moutafis July 11, 2019

slide-2
SLIDE 2

OVERVIEW

Introduction SMEFT Basics Relevant Operators Correlated Uncertainties Results Conclusion

2

slide-3
SLIDE 3

INTRODUCTION

3

slide-4
SLIDE 4

4

INTRODUCTION

  • at LHC: production of new particles or

imprints via interferences & virtual effects

  • single top especially sensitive to electroweak

interactions

  • subset of top sector


possibility to focus on the technical side

  • goal: constrain 7 main dim-6 operators

concerning single top with SFitter

slide-5
SLIDE 5

SMEFT BASICS

5

slide-6
SLIDE 6

6

SMEFT BASICS

  • effects of new heavy BSM particles:



 
 


  • cross sections:

ℒSMEFT = ℒSM +

Nd6

∑

i

ci Λ2 𝒫(6)

i

+ . . . ,

σSMEFT = σSM +

Nd6

∑

i

ci Λ2 σi +

Nd6

∑

i,j

cicj Λ4 ˜ σij + . . . ,

slide-7
SLIDE 7

7

SMEFT BASICS

σu ¯

d→t¯ b = (1 +

2c3

φqv2

Λ2 ) g4(s − m2

t )2(2s + m2 t )

384πs2(s − m2

W)2

+ ctW g2mtmW(s − m2

t )2

8 2πΛ2s(s − m2

W)2

+ c3,1

Qq

g2(s − m2

t )2(2s + m2 t )

48πΛ2s2(s − m2

W)

slide-8
SLIDE 8

RELEVANT OPERATORS

8

slide-9
SLIDE 9

9

RELEVANT OPERATORS

s-channel t-channel W-assoc. Z-assoc. t decay

VERTEX CHANNELS

slide-10
SLIDE 10

10

RELEVANT OPERATORS

s-channel t-channel W-assoc. Z-assoc. t decay

VERTEX CHANNELS OPERATORS

‡𝒫(ij) uG = (¯

qiσμνTAuj) ˜ φGA

μν

‡𝒫(ij) uW = (¯

qiσμντIuj) ˜ φWI

μν

𝒫3(ij)

φq = (φ†iDI μφ)(¯

qiγμτIqj)

‡𝒫(ij) dW = (¯

qiσμντIdj)φWI

μν

‡𝒫1(ij) φud = ( ˜

φ†iDμφ)( ¯ uiγμdj) 𝒫1(ijkl)

qq

= (¯ qiγμqj)(¯ qkγμql)

𝒫3(ijkl)

qq

= (¯ qiγμτIqj)(¯ qkγμτIql)

⟷ ⟷

slide-11
SLIDE 11

11

RELEVANT OPERATORS

ctW c3

φq

cbW cφtb c3,1

Qq

c3,8

Qq

s-channel t-channel W-assoc. Z-assoc. t decay

VERTEX CHANNELS OPERATORS WILSON COEFFICIENTS

ctG

‡𝒫(ij) uG = (¯

qiσμνTAuj) ˜ φGA

μν

‡𝒫(ij) uW = (¯

qiσμντIuj) ˜ φWI

μν

𝒫3(ij)

φq = (φ†iDI μφ)(¯

qiγμτIqj)

‡𝒫(ij) dW = (¯

qiσμντIdj)φWI

μν

‡𝒫1(ij) φud = ( ˜

φ†iDμφ)( ¯ uiγμdj) 𝒫1(ijkl)

qq

= (¯ qiγμqj)(¯ qkγμql)

𝒫3(ijkl)

qq

= (¯ qiγμτIqj)(¯ qkγμτIql)

⟷ ⟷

Re{𝒫(33)

uG }

Re{𝒫(33)

uW }

𝒫3(33)

φq

Re{𝒫(33)

dW }

Re{𝒫(33)

φud}

𝒫3(ii33)

qq

+ 1 6(𝒫1(i33i)

qq

− 𝒫3(i33i)

qq

)

𝒫1(i33i)

qq

− 𝒫3(i33i)

qq

slide-12
SLIDE 12

12

RELEVANT OPERATORS

ctW c3

φq

cbW cφtb c3,1

Qq

c3,8

Qq

s-channel t-channel W-assoc. Z-assoc. t decay

VERTEX CHANNELS OPERATORS WILSON COEFFICIENTS

ctG

‡𝒫(ij) uG = (¯

qiσμνTAuj) ˜ φGA

μν

‡𝒫(ij) uW = (¯

qiσμντIuj) ˜ φWI

μν

𝒫3(ij)

φq = (φ†iDI μφ)(¯

qiγμτIqj)

‡𝒫(ij) dW = (¯

qiσμντIdj)φWI

μν

‡𝒫1(ij) φud = ( ˜

φ†iDμφ)( ¯ uiγμdj) 𝒫1(ijkl)

qq

= (¯ qiγμqj)(¯ qkγμql)

𝒫3(ijkl)

qq

= (¯ qiγμτIqj)(¯ qkγμτIql)

⟷ ⟷

Re{𝒫(33)

uG }

Re{𝒫(33)

uW }

𝒫3(33)

φq

Re{𝒫(33)

dW }

Re{𝒫(33)

φud}

𝒫3(ii33)

qq

+ 1 6(𝒫1(i33i)

qq

− 𝒫3(i33i)

qq

)

𝒫1(i33i)

qq

− 𝒫3(i33i)

qq

Wtb

slide-13
SLIDE 13

13

RELEVANT OPERATORS

ctW c3

φq

cbW cφtb c3,1

Qq

c3,8

Qq

s-channel t-channel W-assoc. Z-assoc. t decay

VERTEX CHANNELS OPERATORS WILSON COEFFICIENTS

ctG

‡𝒫(ij) uG = (¯

qiσμνTAuj) ˜ φGA

μν

‡𝒫(ij) uW = (¯

qiσμντIuj) ˜ φWI

μν

𝒫3(ij)

φq = (φ†iDI μφ)(¯

qiγμτIqj)

‡𝒫(ij) dW = (¯

qiσμντIdj)φWI

μν

‡𝒫1(ij) φud = ( ˜

φ†iDμφ)( ¯ uiγμdj) 𝒫1(ijkl)

qq

= (¯ qiγμqj)(¯ qkγμql)

𝒫3(ijkl)

qq

= (¯ qiγμτIqj)(¯ qkγμτIql)

⟷ ⟷

Re{𝒫(33)

uG }

Re{𝒫(33)

uW }

𝒫3(33)

φq

Re{𝒫(33)

dW }

Re{𝒫(33)

φud}

𝒫3(ii33)

qq

+ 1 6(𝒫1(i33i)

qq

− 𝒫3(i33i)

qq

)

𝒫1(i33i)

qq

− 𝒫3(i33i)

qq

qq’q’’t

slide-14
SLIDE 14

14

RELEVANT OPERATORS

ctW c3

φq

cbW cφtb c3,1

Qq

c3,8

Qq

s-channel t-channel W-assoc. Z-assoc. t decay

VERTEX CHANNELS OPERATORS WILSON COEFFICIENTS

ctG

‡𝒫(ij) uG = (¯

qiσμνTAuj) ˜ φGA

μν

‡𝒫(ij) uW = (¯

qiσμντIuj) ˜ φWI

μν

𝒫3(ij)

φq = (φ†iDI μφ)(¯

qiγμτIqj)

‡𝒫(ij) dW = (¯

qiσμντIdj)φWI

μν

‡𝒫1(ij) φud = ( ˜

φ†iDμφ)( ¯ uiγμdj) 𝒫1(ijkl)

qq

= (¯ qiγμqj)(¯ qkγμql)

𝒫3(ijkl)

qq

= (¯ qiγμτIqj)(¯ qkγμτIql)

⟷ ⟷

Re{𝒫(33)

uG }

Re{𝒫(33)

uW }

𝒫3(33)

φq

Re{𝒫(33)

dW }

Re{𝒫(33)

φud}

𝒫3(ii33)

qq

+ 1 6(𝒫1(i33i)

qq

− 𝒫3(i33i)

qq

)

𝒫1(i33i)

qq

− 𝒫3(i33i)

qq

ttg

slide-15
SLIDE 15

15

RELEVANT OPERATORS

ctW c3

φq

cbW cφtb c3,1

Qq

c3,8

Qq

s-channel t-channel W-assoc. Z-assoc. t decay

VERTEX CHANNELS OPERATORS WILSON COEFFICIENTS

ctG

‡𝒫(ij) uG = (¯

qiσμνTAuj) ˜ φGA

μν

‡𝒫(ij) uW = (¯

qiσμντIuj) ˜ φWI

μν

𝒫3(ij)

φq = (φ†iDI μφ)(¯

qiγμτIqj)

‡𝒫(ij) dW = (¯

qiσμντIdj)φWI

μν

‡𝒫1(ij) φud = ( ˜

φ†iDμφ)( ¯ uiγμdj) 𝒫1(ijkl)

qq

= (¯ qiγμqj)(¯ qkγμql)

𝒫3(ijkl)

qq

= (¯ qiγμτIqj)(¯ qkγμτIql)

⟷ ⟷

Re{𝒫(33)

uG }

Re{𝒫(33)

uW }

𝒫3(33)

φq

Re{𝒫(33)

dW }

Re{𝒫(33)

φud}

𝒫3(ii33)

qq

+ 1 6(𝒫1(i33i)

qq

− 𝒫3(i33i)

qq

)

𝒫1(i33i)

qq

− 𝒫3(i33i)

qq

ttZ, ttγ

slide-16
SLIDE 16

CORRELATED UNCERTAINTIES

16

slide-17
SLIDE 17

17

CORRELATED UNCERTAINTIES

  • theoretical: identical predictions


averaging (alternative nuisance parameters, but we get too many)

  • systematic: build matrix of uncertainties,

write correlated ones in same column

  • all handled with DataPrep
slide-18
SLIDE 18

18

CORRELATED UNCERTAINTIES

tW

c

  • 0.6
  • 0.4
  • 0.2

0.2 0.4 0.6

2

χ 5 10 15 20 25

contributions for correlated uncertainties

2

χ

s-channel t-channel tW tZ W helicity

contributions for correlated uncertainties

2

χ

slide-19
SLIDE 19

tW

c

  • 0.6
  • 0.4
  • 0.2

0.2 0.4 0.6

2

χ 5 10 15 20 25 30 35 40 45

contributions for uncorrelated theoretical uncertainties

2

χ

s-channel t-channel tW tZ W helicity

contributions for uncorrelated theoretical uncertainties

2

χ

19

CORRELATED UNCERTAINTIES

slide-20
SLIDE 20

tW

c

  • 0.6
  • 0.4
  • 0.2

0.2 0.4 0.6

2

χ 5 10 15 20 25 30 35 40 45

contributions for uncorrelated theoretical uncertainties

2

χ

s-channel t-channel tW tZ W helicity

contributions for uncorrelated theoretical uncertainties

2

χ

20

CORRELATED UNCERTAINTIES

tW

c

  • 0.6
  • 0.4
  • 0.2

0.2 0.4 0.6

2

χ 5 10 15 20 25 30 35 40 45

contributions for uncorrelated systematic uncertainties

2

χ

s-channel t-channel tW tZ W helicity

contributions for uncorrelated systematic uncertainties

2

χ

slide-21
SLIDE 21

RESULTS

21

slide-22
SLIDE 22

22

RESULTS

]

  • 2

[TeV

2

Λ /

i

c

  • 4
  • 3
  • 2
  • 1

1 2 3 4

Bounds at standard dataset & theory

tG

c

tW

c

bW

c

q φ 3

c

tb φ

c

Qq 3,1

c

Qq 3,8

c

all coefficients: 68% conf. int. all coefficients: 95% conf. int.

  • ne coefficient: 68% conf. int.
  • ne coefficient: 95% conf. int.

reference (all coefficients): 95% conf. int.

Bounds at standard dataset & theory

8.7

  • 27
slide-23
SLIDE 23

]

  • 2

[TeV

2

Λ /

i

c

  • 4
  • 3
  • 2
  • 1

1 2

Bounds without kinematic distributions

tG

c

tW

c

bW

c

q φ 3

c

tb φ

c

Qq 3,1

c

Qq 3,8

c

standard (all coefficients): 68% conf. int. standard (all coefficients): 95% conf. int. all coefficients: 68% conf. int. all coefficients: 95% conf. int.

  • ne coefficient: 68% conf. int.
  • ne coefficient: 95% conf. int.

Bounds without kinematic distributions

23

RESULTS

slide-24
SLIDE 24

]

  • 2

[TeV

2

Λ /

i

c

  • 4
  • 3
  • 2
  • 1

1 2

Bounds without measurements at 7 TeV

tG

c

tW

c

bW

c

q φ 3

c

tb φ

c

Qq 3,1

c

Qq 3,8

c

standard (all coefficients): 68% conf. int. standard (all coefficients): 95% conf. int. all coefficients: 68% conf. int. all coefficients: 95% conf. int.

  • ne coefficient: 68% conf. int.
  • ne coefficient: 95% conf. int.

Bounds without measurements at 7 TeV

24

RESULTS

slide-25
SLIDE 25

]

  • 2

[TeV

2

Λ /

i

c

  • 4
  • 2

2 4 6 8

Bounds without NLO corrections

tG

c

tW

c

bW

c

q φ 3

c

tb φ

c

Qq 3,1

c

Qq 3,8

c

standard (all coefficients): 68% conf. int. standard (all coefficients): 95% conf. int. all coefficients: 68% conf. int. all coefficients: 95% conf. int.

  • ne coefficient: 68% conf. int.
  • ne coefficient: 95% conf. int.

Bounds without NLO corrections

25

RESULTS

slide-26
SLIDE 26

]

  • 2

[TeV

2

Λ /

i

c

  • 6
  • 5
  • 4
  • 3
  • 2
  • 1

1 2 3

) terms

  • 4

Λ Bounds without order O(

tG

c

tW

c

bW

c

q φ 3

c

tb φ

c

Qq 3,1

c

Qq 3,8

c

standard (all coefficients): 68% conf. int. standard (all coefficients): 95% conf. int. all coefficients: 68% conf. int. all coefficients: 95% conf. int.

  • ne coefficient: 68% conf. int.
  • ne coefficient: 95% conf. int.

) terms

  • 4

Λ Bounds without order O(

26

RESULTS

slide-27
SLIDE 27

CONCLUSION

27

slide-28
SLIDE 28

28

CONCLUSION

  • new: correlated uncertainties
  • s-channel important!
  • distributions do not seem to change anything, 


7 TeV-data has small impact

  • NLO corrections very important, 


O(Λ^-4) not so much

  • results in perfect agreement with SM & 


5 times more accurate than literature!

  • looking forward to merging datasets :)
slide-29
SLIDE 29

Thank you!

29

slide-30
SLIDE 30

BONUS SLIDES

30

slide-31
SLIDE 31

31

BONUS SLIDES

ctW c3ϕq cbW 2 4 6 8 10 1 2 3 4 5 6 7 ci/Λ-2[TeV-2] σSMEFT σSM

s-channel single top production at 7 TeV

slide-32
SLIDE 32

32

BONUS SLIDES

ctW c3ϕq cbW 2 4 6 8 10 0.0 0.5 1.0 1.5 ci/Λ-2[TeV-2] σSMEFT σSM

t-channel single top production at 7 TeV

slide-33
SLIDE 33

33

BONUS SLIDES

ctW c3ϕq ctG 2 4 6 8 10

  • 1.0
  • 0.5

0.0 0.5 1.0 1.5 2.0 ci/Λ-2[TeV-2] σSMEFT σSM

tW production at 7 TeV

slide-34
SLIDE 34

34

BONUS SLIDES

ctW c3ϕq c3,8Qq c3,1Qq 2 4 6 8 10

  • 5

5 10 15 20 25 30 ci/Λ-2[TeV-2] σSMEFT σSM

tZ production at 13 TeV

slide-35
SLIDE 35

35

BONUS SLIDES

ctW cbW cϕtb 2 4 6 8 10

  • 0.5

0.0 0.5 1.0 ci/Λ-2[TeV-2] σSMEFT σSM

helicity fraction FL

slide-36
SLIDE 36

36

BONUS SLIDES

slide-37
SLIDE 37

37

BONUS SLIDES

]

  • 2

[TeV

2

Λ /

tW

c

  • 0.8
  • 0.6
  • 0.4
  • 0.2

0.2 0.4 0.6 0.8 counts 200 400 600 800 1000 1200 1400 tW

ctW c

]

  • 2

[TeV

2

Λ /

bW

c

  • 3
  • 2
  • 1

1 2 3 counts 1000 2000 3000 4000 5000 6000 7000 8000 9000 bW

cbW c

]

  • 2

[TeV

2

Λ /

q φ 3

c

  • 1.5
  • 1
  • 0.5

0.5 1 1.5 counts 200 400 600 800 1000 1200

q φ 3

c q

φ 3

c

]

  • 2

[TeV

2

Λ /

tb φ

c

  • 0.6
  • 0.4
  • 0.2

0.2 0.4 0.6 counts 1000 2000 3000 4000 5000 6000 7000 8000

tb φ

c tb

φ

c

]

  • 2

[TeV

2

Λ /

Qq 3,1

c

  • 0.6
  • 0.4
  • 0.2

0.2 0.4 0.6 counts 200 400 600 800 1000 1200 1400 1600 1800 2000 2200

Qq 3,1

cQq

3,1

c

]

  • 2

[TeV

2

Λ /

Qq 3,8

c

  • 0.6
  • 0.4
  • 0.2

0.2 0.4 0.6 counts 200 400 600 800 1000 1200 1400 1600 1800 2000

Qq 3,8

cQq

3,8

c

slide-38
SLIDE 38

38

BONUS SLIDES

counts 2 4 6 8 10 12 ]

  • 2

[TeV

2

Λ /

tW

c

  • 0.5 -0.4 -0.3 -0.2 -0.1

0.1 0.2 0.3 0.4 0.5 ]

  • 2

[TeV

2

Λ /

q φ 3

c

  • 1.5
  • 1
  • 0.5

0.5 1

tW

  • vs. c

q φ 3

c

tW

  • vs. c

q φ 3

c

counts 2 4 6 8 10 12 14 16 18 20 22 24 ]

  • 2

[TeV

2

Λ /

tG

c

  • 2.5
  • 2
  • 1.5
  • 1
  • 0.5

0.5 1 1.5 2 ]

  • 2

[TeV

2

Λ /

q φ 3

c

  • 1.2
  • 1
  • 0.8
  • 0.6
  • 0.4
  • 0.2

0.2 0.4 0.6 0.8

tG

  • vs. c

q φ 3

c

tG

  • vs. c

q φ 3

c

counts 2 4 6 8 10 12 14 16 18 ]

  • 2

[TeV

2

Λ /

Qq 3,1

c

  • 0.5
  • 0.4
  • 0.3
  • 0.2
  • 0.1

0.1 0.2 0.3 ]

  • 2

[TeV

2

Λ /

q φ 3

c

  • 1.5
  • 1
  • 0.5

0.5 1

Qq 3,1

  • vs. c

q φ 3

c

Qq 3,1

  • vs. c

q φ 3

c

slide-39
SLIDE 39

39

BONUS SLIDES

2

χ log

  • 2

10

  • 1

10 1

contribution of each measurement

2

χ

Standard Model Best Fit Point ttbarschCMS7 ttbarschAVG8 yt_1tchdATLAS7 yt_2tchdATLAS7 yt_3tchdATLAS7 yt_4tchdATLAS7 ytbar_1tchdATLAS7 ytbar_2tchdATLAS7 ytbar_3tchdATLAS7 ytbar_4tchdATLAS7 yt_1tchdATLAS8 yt_2tchdATLAS8 yt_3tchdATLAS8 yt_4tchdATLAS8 ytbar_1tchdATLAS8 ytbar_2tchdATLAS8 ytbar_3tchdATLAS8 ytbar_4tchdATLAS8 yttbar_1tchdCMS13 yttbar_2tchdCMS13 yttbar_3tchdCMS13 yttbar_4tchdCMS13 tWtWCMS7 tWtWAVG8 tWtWCMS13 tZtZATLAS13 F0WhelAVG7 FLWhelAVG7

Best Fit Point:

  • 0.53

tG

c

  • 0.05

tW

c 0.0

bW

c 0.08

q φ 3

c 0.0

tb φ

c

  • 0.01

Qq 3,1

c 0.18

Qq 3,8

c

slide-40
SLIDE 40

40

BONUS SLIDES

ij

ρ correlation coefficient

  • 1
  • 0.8
  • 0.6
  • 0.4
  • 0.2

0.2 0.4 0.6 0.8 1

Correlations between Wilson coefficients

1.00 0.24

  • 0.05
  • 0.31
  • 0.05
  • 0.04
  • 0.03

0.24 1.00 0.01

  • 0.55
  • 0.03
  • 0.21
  • 0.06
  • 0.05

0.01 1.00 0.07 0.88 0.12

  • 0.01
  • 0.31
  • 0.55

0.07 1.00 0.12

  • 0.20

0.11

  • 0.05
  • 0.03

0.88 0.12 1.00 0.07 0.02

  • 0.04
  • 0.21

0.12

  • 0.20

0.07 1.00 0.11

  • 0.03
  • 0.06
  • 0.01

0.11 0.02 0.11 1.00

tG

c

tW

c

bW

c

q φ 3

c

tb φ

c

Qq 3,1

c

Qq 3,8

c

tG

c

tW

c

bW

c

q φ 3

c

tb φ

c

Qq 3,1

c

Qq 3,8

c

Correlations between Wilson coefficients