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Searching for flavored new physics at the LHC

J. Martin Camalich

GenT Workshop

December 18 2019

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Why studying Flavor Physics in the 2020’s? 1 - Big Questions

CKM and mass matrices: Parametrizations of flavor phenomena in the SM

The SM Flavor Puzzle

I

Specific values of quark masses seem “tuned”

Anthropic arguments!

I

Origin of CP-violation, baryogenesis, strong CP

I

Why does Nature need three generations at all?

However, the solution might not be accessible at the energies at reach. . .

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2 - Strong physics programme for the decade

Jure Zupan, arXiv: 1903.05062

I

Current

I

Projection HL-LHC only

“Opportunities in Flavour Physics at the HL-LHC and HE-LHC”, A. Cerriet al., CERN Yellow Rep.Monogr. 7 (2019) 867-1158

Belle II is just ramping up luminosity!

J. Martin Camalich (IAC & ULL) Searching for flavored new physics at the LHC December 18 2019 3 / 22

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Very sensitive probes of “generic” new physics

Theorem: FCNC are “Loop-Suppressed” in the SM!

I

Prototypical example: FCNCs

M

SM

Weak

z}|{ G

F Loop

z }| { y

t2

16π

2

Flavor

z }| { (V

ts

V

tb

)

2

| {z }

GIM

I

Flavour observables probe (indirectly) very high energy scales!

M. Neubert at EPS 2011

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3 - Flavor anomalies!

Lepton-universality violation in B decays?

“The flavour of new physics”, JMC & J. Zupan, CERN courier, May/June 2019

“R

D(∗)

anomaly” in B → D

(∗)

`ν!

I

Excesses observed at ∼ 3σ

I

Other “anomalies” in b → (u, c)`ν

I

Λ

NP

∼ 3 TeV Talk by Clara Murgui

“R

K(∗)

anomaly” in B → K `` (FCNC)!

I

Other anomalies in b → sµµ

F

Branching fractions

F

Angular analysis B → K

µµ

I

Up to 4-6σ in global fits

I

Λ

NP

∼ 30 TeV Talk by Marco Fedele

J. Martin Camalich (IAC & ULL) Searching for flavored new physics at the LHC December 18 2019 5 / 22

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Flavor physics was instrumental in discovering and shaping the SM

I

Nuclear β-decays: Discovery weak interactions and neutrino

I

Rare Kaon-decays: Discovery of the charm quark

I

Kaon decays: Discovery of CP violation = ⇒ Discovery of 3 generations

Expect the unexpected

Thanks to Zoltan Ligeti for sharing this

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Status of LFUV in b → cτ ν decays

R

D(∗)

=

B( ¯B→D(∗)τν)¯

B( ¯B→D(∗)`ν)¯

where ` = e, µ

Babar, Belle and LHCb are independently in tension with SM!

G. Caria @ Moriond EW 2019 (arXiv:1904.0879)

I

NEW: Belle with semi-leptonic tag

F

Consistent at ∼ 1σ with SM!!

I

World average now at ∼ 3σ from SM. . .

Why studying the R D

(∗)

anomalies?

Λ

New−Physics

∼ 3 TeV

If true, find the “ultimate” collider search

J. Martin Camalich (IAC & ULL) Searching for flavored new physics at the LHC December 18 2019 7 / 22

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EFT of new-physics in b → cτ ν

Low-Energy EFT Lagrangian

Leff⊃−GF Vcb

2 [(1+`L)`γ¯µ(1−γ5`·¯cγµ(1−γ5)b+`R`γ¯µ(1−γ5`¯cγµ(1+γ5)b +`

SL`(1−γ¯ 5`·¯c(1−γ5)b+`

SR`(1−γ¯ 5`·¯c(1+γ5)b+`T`σ¯µν(1−γ5`·¯cσµν(1−γ5)b]+h.c.

,

I

The SM + 5 New-Physics operators

Matching to high-energy Lagrangian – SMEFT

I

Symmetry relations for

Γ F

In charged-currents

`R

:

O

Hud

= i Λ

2NP

H ˜

D

µ

H

u ¯

R

γ

µ

d

R

RHC is lepton universal:

`R

R

+ O(

v4

Λ4 NP

) ⇒ Cannot explain LFUV in R

D(∗)

!

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EFT of new-physics in b → cτ ν

Low-Energy EFT Lagrangian

Leff⊃−GF Vcb

2 [(1+`L)`γ¯µ(1−γ5`·¯cγµ(1−γ5)b+`R`γ¯µ(1−γ5`¯cγµ(1+γ5)b +`

SL`(1−γ¯ 5`·¯c(1−γ5)b+`

SR`(1−γ¯ 5`·¯c(1+γ5)b+`T`σ¯µν(1−γ5`·¯cσµν(1−γ5)b]+h.c.

,

I

The SM + 5 New-Physics operators

Introducing light right-handed neutrinos N

R(See e.g.Robinson, Shakya & Zupan, JHEP 1902 (2019) 11) I

5 extra New-Physics operators

I

They do not interfere with the SM!

Leff⊃−GF Vcb

2 ˜`R `γ¯µNR¯cγµ(1+γ5)b

Consider 5 operators to explain R

D(∗)

:

τL

, ˜

Rτ

,

τSL

,

τSR

,

τT

J. Martin Camalich (IAC & ULL) Searching for flavored new physics at the LHC December 18 2019 8 / 22

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Trajectories of EFT scenarios: pre- and post-Moriond ’19

SM

Tensor Current

Scalar- Tensor

Rui-xiang Shi, Li-sheng Geng, B. Grinstein, S. Jäger & JMC, JHEP 1912 (2019) 065

Best scenario also enters through NEW current-current interactions

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Evolution of the NP scenarios from pre- to post-Moriond 2019

Pre-Moriond Post-Moriond Best fit Pull

SM

Best fit Pull

SM

τL

0.11(3) 4.25 0.07(2) 3.43

˜

τR

0.48(6) 4.25 0.39(5) 3.43

τT

0.37(1) 4.16 −0.03(1) 3.30

See also talk by Clara Murgui

1

“Current-current” scenarios still perform best Λ

L

' 3.7 TeV = ⇒ Λ

L

' 4.6 TeV

2

“Tensor” scenario is now driven by interference piece

Br(Bc→ τν)>30%

Br(Bc

→τν)>10%

-1.0 -0.5 0.0 0.5 -0.5

0.0 0.5 1.0

ϵ

L

ϵ

SRτ

3

“Scalar” scenarios still limited by B

c

→ τ ν

F

Crossing-symmetry in decay

Alonso, Grinstein & JMC,PRL118, 081802, Akeroyd & Chen PRD96, 075011 J. Martin Camalich (IAC & ULL) Searching for flavored new physics at the LHC December 18 2019 10 / 22

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Crossing-symmetry connection to the mono-tau signature at the LHC

Greljo, JMC & Ruiz-Álvarez, PRL122, 131803

I

The proton is flavored. . .

I

Cross-section at s m

2W

σ

NP

σ

SM

∼ P

i

L

ib

⊗ |V

ib

|

2vs4

α

Γ

|

τΓ

|

2

L

ud

⊗ |V

ud

|

2vs4

M2 W s

2

I

NP suppressed by CKM and PDF’s

I

NP enhanced by s

2

/M

W4

I

NP sensitivity is quadratic

Search excess in tails of pp → τ + MET!

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Crossing-symmetry connection to the mono-tau signature at the LHC

Greljo, JMC & Ruiz-Álvarez, PRL122, 131803

I

The proton is flavored. . .

I

Cross-section at s m

2W

J. Martin Camalich (IAC & ULL) Searching for flavored new physics at the LHC December 18 2019 11 / 22

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A comment on the LHC bounds on effective operators

History: First discussed related to nuclear β decays (4-fermion)

I

Competitive on scalar/tensor scenarios

Cirigliano, González-Alonso, Graesser JHEP1302(2013)046

LHC bouds on light-quarks can have consequences on R

D(∗)

!

I

∼ 2σ excess on W → τ ν at LEP

δg

WLτ

− δg

LWe

= 0.0134(74)

Ciriglianoet al.PRL122 (2019) no.22, 221801

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LHC data and simulations of pp → τ h X + MET

W

0

searches available from run 2 (13 TeV)

I

ATLAS: 36.1 fb

−1PRL120, 161802, arXiv:1801.06992 [hep-ex]

I

CMS: 35.9 fb

−1PLB792, 107, arXiv:1807.11421 [hep-ex]

Collider Simulation: MadGraph5@NLO I Pythia8 I Delphes 3

I

LO with 6 2j at parton level

I

Kinematic cuts/Delphes configuration as reported/recommended by collaborations

I

Agreement with official simulations . 20%

1000 1500 2000 2500 3000

) [GeV]

miss ,pT τ T( m

2 10

1 10 1 10 102

Events ATLAS W+jets estimation

W+jets EFT Tensor coupling W', m=2 TeV, 22% width

Greljo, JMC & Ruiz-Álvarez, PRL122, 131803, Supp. Material J. Martin Camalich (IAC & ULL) Searching for flavored new physics at the LHC December 18 2019 13 / 22

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LHC bounds on EFT operators

0.0 0.2 0.4 0.6 0.8 1.0 1.2

∞ 4 3 2 1

| ϵ Γ |

Λ [ TeV ]

RD(*)ATLASCMSLHCHL-LHC(2σ)

ϵ

L

ϵ ˜

R

Vector

Tensor

Scalar - Tensor

Greljo, JMC & Ruiz-Álvarez, PRL122, 131803 (updated)

LHC is sensitive to NP scenarios addressing anomalies!

“No-loose theorem” for the discovery of NP at the LHC

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Caveats of the EFT analysis

Cross-section in EFT diverges at s → ∞

I

EFT stops being valid for √ s ' Λ

I

Λ ∼ 1-10 TeV for R

D(∗)

∼ Partonic √

s at the LHC Sensitivity per bin of tau’s transverse mass

△ △

△ △

○ ○ △

○ ○ ○

○ ○

□ □ □ □ □ □

□ □

ATLAS 36.1 fb-1

ATLAS 3 ab-1

ATLAS 3 ab-1(noNrescaling)

500 1000 1500 2000 2500 3000

1.00 1.01 1.02 1.03 1.04 1.05

MT[GeV]

σJack σT

I

For projections assume systematics scale as 1/ √

L

HL/HE-LHC Yellow Report F

Low M

T

limited by SM W → τ ν

background

F

High M

T

limited by statistics

Most sensitive bins . 2 TeV!

Beyond one needs explicit mediators and UV completions of the EFT

J. Martin Camalich (IAC & ULL) Searching for flavored new physics at the LHC December 18 2019 15 / 22

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Simplified mediators for the R D

(∗)

anomaly

1

Uncolored mediators

¯ c, ¯ b

W

, H

b, c ¯ ν, τ

+

τ

, ν

I

Jacobian bump search

2

Colored mediators

¯ c, ¯ b

LQ b, c

¯ ν, τ

+

τ

, ν

I

Excess in tails

Mediator SU(3) SU(2) U(1) Current Scalar Tensor

W

µ0

1 3, 1 0, +1 X X X

H 1 2 +1/2 X X X

S

1

3 1 -1/3 X X X

R

2

3 2 +7/6 X X X

U

1µ

3 1 +2/3 X X X

We do not consider charged Higsses because of B

c

→ τ ν

A total of 8 different solutions!

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Leptoquark solutions

A total of six leptoquark solutions

I

S

1

and U

1µ

produce both LH and RH solutions

I

S

1

and R

2

produce scalar and tensor solutions

F

One S

1

scalar-tensor solution:

τT

= −

τ

SL

/4

F

One R

2

(complex) scalar-tensor solution:

τT

= +

τ

SL

/4

Becirevicet al.arXiv: 1806.05689 F

One S

1

-R

2

“pure” tensor solution

U⁠1⁠⁠L⁠e⁠p⁠t⁠o⁠q⁠u⁠a⁠r⁠k⁠⁠⁠

L⁠H⁠C ⁠e⁠x⁠c⁠l⁠u⁠s⁠i⁠o⁠n⁠⁠⁠@⁠⁠⁠2⁠σ

RH

LH

Greljo, JMC & Ruiz-Álvarez, PRL122, 131803 (updated) I

All scenarios converge to EFT results for m

LQ

& 2 TeV

J. Martin Camalich (IAC & ULL) Searching for flavored new physics at the LHC December 18 2019 17 / 22

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The complex R 2 -leptoquark solution

A (complex) scalar-tensor solution with

τT

= +

τS

L

/4

Becirevicet al.arXiv: 1806.05689

This model should be discovered/ruled-out at HL-LHC

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W 0 solutions

W

L0

in the SU(2)-triplet severely constrained by B

s

mixing and pp → τ

+

τ

I

Focus on the W

R0 Greljo, Robinson, Shakya & Zupan, JHEP1809, Asadi, Buckley & Shih, JHEP 1809, 010 169

Famous AG plot for W

0

in pp → τ

+ MET!

5

W

R0

solutions pushed to nonperturbative or light!

J. Martin Camalich (IAC & ULL) Searching for flavored new physics at the LHC December 18 2019 19 / 22

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The LHC flavor-physics program: b → uτ ν

Take b → uτ

ν ¯ decays: Naturally linked to R

D(∗)

anomalies

I

Rare processes: Γ ∼ |V

ub

|

2

I

Tricky final states: τ

, but also π, ρ, p¯ p . . .

B(B→τν)=1.09(24)×10¯ −4 (PDG), B(B0→πτ+ν)<2.5×10¯ −4 (Belle)

I

Current operators

I

Scalar and tensor operators

Data set Scalar Tensor

B

0

→ π

τ

+

ν ¯ [-1.75, 0.94] [-1.25, 0.57]

LHC 1.23 0.34

HL-LHC 0.37 0.10

The LHC can compete with

classic low-energy flavor probes!

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The LHC flavor-physics program: Charm physics

Fuentes-Martin, Greljo, JMC, Ruiz-Álvarez 2000.xxxxx

Example: Tauonic charm transitions

Little phase space

m

D

− m

τ

' 90 MeV vs.

Charged-current decays: Only D

(s)+

→ τ

+

ν (CLEO & BESIII)

BR(D+→τ+ντ)=τD+mD+m τ2f2

D+G2 F|Vcd|2β4

τ 8π

1−A+ m 2 D mτ(mc+mu)P

2

I

Semi-leptonic D

0

→ K ¯

+

ν decays forbidden by phase space!

Neutral current decays: D

0

→ τ

+

τ

, D

0

→ τ

±

µ

forbidden by phase space!

Only search of NP will be from LHC!

J. Martin Camalich (IAC & ULL) Searching for flavored new physics at the LHC December 18 2019 21 / 22

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The LHC flavor-physics program: Charm physics

Fuentes-Martin, Greljo, JMC, Ruiz-Álvarez 2000.xxxxx

Example: Tauonic charm transitions

Little phase space

m

D

− m

τ

' 90 MeV vs.

Complementarity in the charged currents

c → sτ

+

ν c¯ s → τ

+

ν c → dτ

+

ν c d ¯ → τ

+

ν

V

0.009 0.015

A

[−0.066, 0.007] [−0.24, 0.16]

S

0.018 0.030

P

[−0.004, 0.040] [−0.10, 0.15]

T

− 0.004 − 0.0061

Comments & caveats

1

Complementarity in axial currents: Access δg

L,RWcs(d)

vertex corrections (light leptons!)

2

Model-dependence of collider bounds: Λ

NP

' 2.5 TeV

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Conclusions

1

“R

D(∗)

anomalies”: pp → τ

h

X + MET currently sensitive to NP models

I

RHC solutions with W

R0

or LQ in tension with data

2

“No-loose theorem”: HL-LHC has the potential to discover “the model”. . . . . . whatever it might be ...

I

Bottom-up: EFT I Simplified mediators

I

Flavor: Direct correlation between R

D(∗)

and LHC

I

Conservative: Extra flavor/Lorentz components increase excess

Baker, Fuentes-Martín, Isidori, König, arXiv: 1901.10480

I

Additional ideas could enhance sensitivity!

3

“LHC Flavor physics program”: Provide specific inputs to flavor physics

I

Promising with tau-leptons

I

Very promising in charm physics!

J. Martin Camalich (IAC & ULL) Searching for flavored new physics at the LHC December 18 2019 22 / 22

Referencias

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