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Higgsless (vegetarians only) Compositeness (lasagna romana) SM (plain white rice) NMSSM (no beef, to solve the mu problem) Anthropic (this dish doesn’t contain human meat, otherwise you wouldn’t be there tasting it) nuSM (борщ) BSM: early 2012 MSSM (low on calories - for the hierarchy problem)
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BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

May 29, 2020

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Page 1: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

Higgsless

(vegetarians

only)

Compositeness

(lasagna romana)SM

(plain white rice)

NMSSM(no b

eef,

to solve

the mu pro

blem)

Anthropic(this dish doesn’t contain

human meat, otherwise you

wouldn’t be there tasting it)

nuSM

(борщ

)

BSM: early 2012

MSSM(low on ca

lories -

for the hier

archy probl

em)

Page 2: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

BSM: early 2014

Page 3: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

BSM: early 2014

Generic SM precision tests

Page 4: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

BSM: early 2014

Generic SM precision tests

BSM Inspired precision searches

Page 5: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

BSM: early 2014

“fare la scarpetta”

Francesco Riva (EPFL - Lausanne)

Pomarol, Gupta, Liu, Falkowski, Masso, Espinosa, Elias-Miro(1308.2803 ,1308.1879, 1405.0181, 1411.0669, 150x.xxxx)

Ingredients by:

recipe by

Page 6: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

Motivation (short)

Provide a meaningful parametrization of departures from SM (in form of EFT)

What are the most important parameters to search for?

BSM inspired: interpretable as search

Page 7: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

Motivation (short)

Provide a meaningful parametrization of departures from SM (in form of EFT)

What are the most important parameters to search for?

BSM inspired: interpretable as search

Page 8: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

MotivationSearches for New Physics

PrecisionDirect

Page 9: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

Motivation

LSM

Searches for New Physics

Page 10: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

Motivation

LSM

LUVYU , YD, YE

1)

2)

3)

E/⇤

H/fExpa

nsion

Page 11: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

Motivation

LSM⌘ L4

LUVYU , YD, YE

1)

2)

3)

L6

L8E/⇤

H/fExpa

nsion

1) No direct findings: M inew ⇠ ⇤ � mW

Expansion in Dµ/⇤

Page 12: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

Motivation

LSM⌘ L4

LUVYU , YD, YE

1)

2)

3)

L6

L8E/⇤

H/fExpa

nsion

2) Higgs is excitation around EWSB vacuum

Expansion in H/f

(f ⌘ ⇤/g⇤)

v + h

Some BSM coupling (necessary, since fields have different weight in than derivatives)

Leadin

g term

in H/f

expans

ion

Leadin

g term

in h/f

expans

ion?

e.g. Cohen,Kaplan,Nelson’97~

Page 13: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

Motivation

LSM

LUVYU , YD, YE

1)

2)

3)

E/⇤

H/fExpa

nsion

Page 14: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

Motivation

LSM⌘ L4

LUVYU , YD, YE

1)

2)

3)

L6

L8E/⇤

H/fExpa

nsion

Page 15: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

LSM⌘ L4

MotivationLe↵ =

⇤4

g2⇤L✓Dµ

⇤,g⇤H

⇤,g⇤fL,R

⇤3/2,gFµ⌫

⇤2

◆' L4 + L6 + · · · ,

Buchmuller,Wyler’86;Giudice et al ’07Grzadkowski et al’10Alonso et al’13

SM X

i

ci

⇤2Oi

What defines SM?(from an experimentalist’s point of view)

Page 16: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

LSM⌘ L4

- Parameters: 19 in

MotivationLe↵ =

⇤4

g2⇤L✓Dµ

⇤,g⇤H

⇤,g⇤fL,R

⇤3/2,gFµ⌫

⇤2

◆' L4 + L6 + · · · ,

Buchmuller,Wyler’86;Giudice et al ’07Grzadkowski et al’10Alonso et al’13

SM X

i

ci

⇤2Oi

L4 ⌘ LSM

What defines SM?

Fixed by 19 most precise experiments

(from an experimentalist’s point of view)

Page 17: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

mW = mZ cos ✓Wghff = mf/v

LSM⌘ L4

- Parameters: 19 in- Accidental relations (due to d=4 Lagrangian)

e.g.

MotivationLe↵ =

⇤4

g2⇤L✓Dµ

⇤,g⇤H

⇤,g⇤fL,R

⇤3/2,gFµ⌫

⇤2

◆' L4 + L6 + · · · ,

Buchmuller,Wyler’86;Giudice et al ’07Grzadkowski et al’10Alonso et al’13

SM X

i

ci

⇤2Oi

L4 ⌘ LSM

What defines SM?

Fixed by 19 most precise experiments

Predictions for other experiments

(from an experimentalist’s point of view)

Page 18: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

mW = mZ cos ✓Wghff = mf/v

L6LSM⌘ L4

- Parameters: 19 in- Accidental relations (due to d=4 Lagrangian)

LBSM '

e.g.

- Parameters: 76 dimension-6 ops.- Accidental relations ?

MotivationLe↵ =

⇤4

g2⇤L✓Dµ

⇤,g⇤H

⇤,g⇤fL,R

⇤3/2,gFµ⌫

⇤2

◆' L4 + L6 + · · · ,

Buchmuller,Wyler’86;Giudice et al ’07Grzadkowski et al’10Alonso et al’13

SM X

i

ci

⇤2Oi

L4 ⌘ LSM

What defines SM? What defines BSM?

Page 19: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

mW = mZ cos ✓Wghff = mf/v

L6LSM⌘ L4

- Parameters: 19 in- Accidental relations (due to d=4 Lagrangian)

LBSM '

e.g.

- Parameters: 76 dimension-6 ops.- Accidental relations ?

Motivation

17

Le↵ =⇤4

g2⇤L✓Dµ

⇤,g⇤H

⇤,g⇤fL,R

⇤3/2,gFµ⌫

⇤2

◆' L4 + L6 + · · · ,

Buchmuller,Wyler’86;Giudice et al ’07Grzadkowski et al’10Alonso et al’13

SM X

i

ci

⇤2Oi

L4 ⌘ LSM

What defines SM? What defines BSM?

This Tal

k: HIGGS PH

YSICS

(one fam

ily, CP c

onservin

g)

Page 20: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

PART 117 BSM Parameters:

(Counting independent dimension-6 terms that can affect Higgs physics)

Page 21: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

mu

mdme

mh

v

hhi=

v

g0

g

gs

In the vacuum <h>=v, operators only redefine SM parameters! Observable only in Higgs physics!

Elias-Miro,Espinosa,Masso,Pomarol’13; Gupta,Pomarol,FR’14

Higgs Physics Only

Parameters for BSM: Higgs-only

|H|2 ⇥ LSM

1

g2sGµ⌫G

µ⌫ +|H|2

⇤2Gµ⌫G

µ⌫ =

✓1

g2s+

v2

⇤2

◆Gµ⌫G

µ⌫ + h2v

⇤2Gµ⌫G

µ⌫ + ...

Page 22: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

Higgs Physics Only

mu

mdme

mh

v

Elias-Miro,Espinosa,Masso,Pomarol13; Gupta,Pomarol,FR’14

hhi=

v

+

g0

g

gs

Z�

?h3?

i ' 1 + civ2

f2

i ' 1 + ci16⇡2v2

⇤2

Parameters for BSM: Higgs-only

from ratiowith SM loop

8 Parameters fixed by Higgs physics experiments!

Page 23: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

Higgs Physics Only EW and Higgs physics

Parameters for BSM: Higgs+EW

Page 24: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

EW and Higgs physicsIn the vacuum <h>=v, these operators can be measured!

Z⌫⌫ ZeLeL ZeReR

ZuRuR ZdRdRZdLdLZuLuL

7 of these operators modify:

Parameters for BSM: Higgs+EW

All tightly constrained by LEP1 1/1000

Preview:

Page 25: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

EW and Higgs physicsIn the vacuum <h>=v, these operators can be measured!

Z⌫⌫ ZeLeL ZeReR

ZuRuR ZdRdRZdLdLZuLuL

7 of these operators modify:

Impact of these operators in H-physics is irrelevant

Parameters for BSM: Higgs+EW

All tightly constrained by LEP1 1/1000

xOPreview:

Page 26: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

EW and Higgs physicsIn the vacuum <h>=v, these operators can be measured!

2 of these modify TGCs: g1Z �Hagiwara,Hikasa,Peccei,Zeppenfled’87

Parameters for BSM: Higgs+EW

Preview:

Page 27: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

EW and Higgs physicsIn the vacuum <h>=v, these operators can be measured!

2 of these modify TGCs: g1Z �

LEP2(ee->WW) constrained* �5/100

Hagiwara,Hikasa,Peccei,Zeppenfled’87

Parameters for BSM: Higgs+EW

W+

W�

G0 hW+

W�

Preview:

Page 28: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

Might as well use these as parameters, to keep relations between observables manifest!

Small Summary: Parameters

�gZeL, �gZeR, �gZ⌫ , �gZuL, �gZdL, �gZuR, �gZdR

V ,b,⌧ ,t,G,�� ,Z� ,h3 g1Z ,�

Gupta,Pomarol,FR’14“BSM Primaries”

Page 29: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

PART 2Some Relations

(mostly for Higgs physics)

Page 30: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

Gupta,Pomarol,FR’14

�Zff = �Wff 0

Relations 1

PDG

Falkowski,FR’14

�gZWW = �gWWWW = gZZ

WW = �g�ZWW

Relation Vff couplings:

Relation VVV,VVVV couplings:

�g��WW = 0

Page 31: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

Gupta,Pomarol,FR’14

�Zff = �Wff 0

Relations 1

PDG

Falkowski,FR’14

0.01

�gZWW = �gWWWW = gZZ

WW = �g�ZWW

Relation Vff couplings:

Relation VVV,VVVV couplings:

�g��WW = 0

Page 32: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

BSM Relations for Run 2Deviations in different. distr. of or

h ! Wffh ! Zff

Related with Triple Gauge Coupling

Pomarol,FR’13; Gupta et al’ to Appear

+

See e.g. Isidori,(Manohar),Trott’13Falkowski,Vega-Morales’14

h ! Z�, ��Related with

0 200 400 600 800 1000 p2

0.0005

0.0010

0.0015

0.0020

1GdG

dp2

h -> V

V

Related with Zff couplingsLEP 1

p2>5 GeV

Page 33: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

BSM Relations for Run 2Deviations in different. distr. of or

h ! Wffh ! Zff

Related with Triple Gauge Coupling

Pomarol,FR’13; Gupta et al’ to Appear

+

See e.g. Isidori,(Manohar),Trott’13Falkowski,Vega-Morales’14

h ! Z�, ��Related with

0 200 400 600 800 1000 p2

0.0005

0.0010

0.0015

0.0020

1GdG

dp2

200 400 600 800 1000 p2

0.0002

0.0004

0.0006

0.0008

0.0010

1GdG

dp2

h -> V

V

Related with Zff couplingsLEP 1

p2>5 GeV

Page 34: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

BSM Relations for Run 2Deviations in different. distr. of or

h ! Wffh ! Zff

Related with Triple Gauge Coupling

Pomarol,FR’13; Gupta et al’ to Appear

+

See e.g. Isidori,(Manohar),Trott’13Falkowski,Vega-Morales’14

h ! Z�, ��Related with

0 200 400 600 800 1000 p2

0.0005

0.0010

0.0015

0.0020

1GdG

dp2

200 400 600 800 1000 p2

0.0002

0.0004

0.0006

0.0008

0.0010

1GdG

dp2

h -> V

V

Related with Zff couplingsLEP 1

This is t

he sensi

tivity

we are ai

ming to m

ake

H-physics

competi

tive!

p2>5 GeV

Page 35: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

BSM Relations at Run 1 Custodial Symmetry in h decays h->VV* �WZ

Pomarol,FR’13

Pomarol,FR’13

Off-Shell V mZ 6= mW

Integrated Decay Width already sensitive to p-dependence of hVV coupling!

Page 36: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

BSM Relations at Run 1 Custodial Symmetry in h decays h->VV* �WZ

Pomarol,FR’13

Pomarol,FR’13

Off-Shell V mZ 6= mW

Integrated Decay Width already sensitive to p-dependence of hVV coupling!

Page 37: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

BSM Relations at Run 1 Custodial Symmetry in h decays h->VV* �WZ

Pomarol,FR’13This is t

he sensi

tivity

we are ai

ming to m

ake

H-physics

competi

tive!

Pomarol,FR’13

Off-Shell V mZ 6= mW

Integrated Decay Width already sensitive to p-dependence of hVV coupling!

Page 38: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

Parametrization of BSM for Higgs physics:

Conclusions

728 {g,� ,V ,t,b,⌧ ,Z� ,h3}

{gZ1 ,�}

EFT: - Consistent framework to search for leading BSM effects

{�gZeL, �gZeR, �gZ⌫ , �gZuL, �gZdL, �gZuR, �gZdR}

- Motivation for precision tests

Page 39: BSM: early 2012 - Agenda (Indico) · ( борщ) BSM: early 2012 MSSM) s - BSM: early 2014. BSM: early 2014 Generic SM precision tests. BSM: early 2014 Generic SM precision tests

Parametrization of BSM for Higgs physics:

Conclusions

728 {g,� ,V ,t,b,⌧ ,Z� ,h3}

{gZ1 ,�}

Focusing on the most relevant parameters (combining different experiments) increases the sensitivity to new physics

EFT: - Consistent framework to search for leading BSM effects

{�gZeL, �gZeR, �gZ⌫ , �gZuL, �gZdL, �gZuR, �gZdR}

- Motivation for precision tests