Future DUNE constraints on EFT · PVDIS PVES meson decays moeller scattering APV Consistent with the SM. Future DUNE constraints on EFT - G.Grilli di Cortona 2 Introduction E 1 TeV

Future DUNE constraints on EFT

Giovanni Grilli di Cortona

based on: A. Falkowski, GGdC, Z. Tabrizi, JHEP04(2018)101, arXiv:1802.08296

Istituto de Fisìca Universidade de São Paulo

NuFACT 2018, Virginia Tech

[email protected]

2Future DUNE constraints on EFT - G.Grilli di CortonaNuFact 2018

IntroductionE

1 TeVLHC

100 GeV

1 GeV

100 MeV

Tevatron

LEP Tristan

10 GeV

10 MeV

1 MeV

neutrino beamsPVDIS PVES

meson decaysmoeller scattering

APV

Consistent with the SM

2Future DUNE constraints on EFT - G.Grilli di Cortona

IntroductionE

1 TeVLHC

100 GeV

1 GeV

100 MeV

Tevatron

LEP Tristan

10 GeV

10 MeV

1 MeV

neutrino beamsPVDIS PVES

meson decaysmoeller scattering

APV

Consistent with the SM

New Physics?Neutrino masses, dark matter, inflation, baryon asymmetry

+Strong CP problem, flavour hierarchy, gauge coupling unification, naturalness

NuFact 2018

Main goals:measure the parameters governing neutrino oscillations (CP violating phase in the PMNS matrix and neutrino mass ordering), searches for proton decay and for neutrino from core-collapse supernovas


Introduction

NuFact 2018


Introduction

Near Detector

1) Constrain systematic uncertainties in neutrino flux and neutrino scattering cross section;

2) neutrino - nucleus/electron scattering measurement and BSM searches;

NuFact 2018


Introduction

Near Detector

NuFact 2018


Formalism

1 TeV

100 GeV

10 GeV

SMEFT

wEFT

NuFact 2018


Formalism

1 TeV

100 GeV

10 GeV

SMEFT

wEFT LwEFT � � 2

v2(⌫a�µ⌫b)

⇥gabcdLL (ec�µed) + gabcdLR (ecc�µe

cd)⇤

Neutrino interactions with charged leptons

NuFact 2018


Formalism

1 TeV

100 GeV

10 GeV

SMEFT


v2(⌫a�µ⌫b)


cd)⇤

LSMEFT � gLp2

Wµ+⌫a�µ(1 + �gWea

L )ea + h.c.

�

+q

g2L + g2Y Zµeca�µ

⇣�s2✓Qf + �gZea

R

⌘eca

+q

g2L + g2Y Zµ

X

f=e,⌫

fa�µ

⇣T f3 � s2✓Qf + �gZfa

L

⌘fa


NuFact 2018


Formalism

1 TeV

100 GeV

10 GeV

SMEFT


v2(⌫a�µ⌫b)


cd)⇤

LSMEFT � gLp2

Wµ+⌫a�µ(1 + �gWea

L )ea + h.c.

�

+q

g2L + g2Y Zµeca�µ

⇣�s2✓Qf + �gZea

R

⌘eca

+q

g2L + g2Y Zµ

X

f=e,⌫

fa�µ

⇣T f3 � s2✓Qf + �gZfa

L

⌘fa


NuFact 2018


Formalism


SM

g1111LL =1

2+ s2✓ �

1

2[c``]1111 +

1

2[c``]1221 � �gWµ

L + 2s2✓��gWe

L + �gZeL

�

g1111LR = s2✓ �1

2[cè]1111 + �gZe

R + 2s2✓��gWe

L + �gZeL

�

NuFact 2018


Formalism


SM

g1111LL =1

2+ s2✓ �

1

2[c``]1111 +

1

2[c``]1221 � �gWµ

L + 2s2✓��gWe

L + �gZeL

�

g1111LR = s2✓ �1

2[cè]1111 + �gZe

R + 2s2✓��gWe

L + �gZeL

�

Tree-level matching of 4-fermion operators

NuFact 2018


Formalism


SM

g1111LL =1

2+ s2✓ �

1

2[c``]1111 +

1

2[c``]1221 � �gWµ

L + 2s2✓��gWe

L + �gZeL

�

g1111LR = s2✓ �1

2[cè]1111 + �gZe

R + 2s2✓��gWe

L + �gZeL

�


Shifted Z couplings

�gZ⌫aL = �gWea

L + �gZeaL

NuFact 2018


Formalism


SM

g1111LL =1

2+ s2✓ �

1

2[c``]1111 +

1

2[c``]1221 � �gWµ

L + 2s2✓��gWe

L + �gZeL

�

g1111LR = s2✓ �1

2[cè]1111 + �gZe

R + 2s2✓��gWe

L + �gZeL

�


Shifted Z couplings


L + �gZeaL

NuFact 2018


Formalism


SM

g1111LL =1

2+ s2✓ �

1

2[c``]1111 +

1

2[c``]1221 � �gWµ

L + 2s2✓��gWe

L + �gZeL

�

g1111LR = s2✓ �1

2[cè]1111 + �gZe

R + 2s2✓��gWe

L + �gZeL

�


Shifted Z couplings


L + �gZeaL

�gii11LX = ✏eXii

Translation to NSI parameters

NuFact 2018


Formalism

1 TeV

100 GeV

10 GeV

SMEFT

wEFT

Neutrino interactions with quarks

LwEFT � �2Vud

v2(1 + ✏deaL )(ea�µ⌫a)(u �

µd)

� 2

v2(⌫a�µ⌫a)

X

q=u,d

[g⌫aqLL q �µq + g⌫aq

LR (qc�µqc)]

LSMEFT �q

g2L + g2Y Zµ

X

q=u,d

⇥q�µ

⇣(T q

3 � s2✓Qq) + �gZqL

⌘q

+ qc�µ

⇣�s2✓Qq + �gZq

R

⌘qc⇤

+hWµ+u�µ

⇣Vud + �gWq1

L

⌘d+ h.c.

i

NuFact 2018


Formalism

1 TeV

100 GeV

10 GeV

SMEFT

wEFT

Neutrino interactions with quarks

LwEFT � �2Vud

v2(1 + ✏deaL )(ea�µ⌫a)(u �

µd)

� 2

v2(⌫a�µ⌫a)

X

q=u,d

[g⌫aqLL q �µq + g⌫aq

LR (qc�µqc)]

LSMEFT �q

g2L + g2Y Zµ

X

q=u,d

⇥q�µ

⇣(T q

3 � s2✓Qq) + �gZqL

⌘q

+ qc�µ

⇣�s2✓Qq + �gZq

R

⌘qc⇤

+hWµ+u�µ

⇣Vud + �gWq1

L

⌘d+ h.c.

i

Translation to NSI parameters

Vud✏deaL = ✏udLaa

�g⌫aqLX = ✏qXaa

NuFact 2018


Neutrino scattering in DUNE

Nevents = time⇥NT ⇥ ✏⇥Z Ef

Ei

dE⌫d�(E⌫)

dE⌫�(E⌫)

3 years neutrino mode +3 years antineutrino mode

NuFact 2018




Ei

dE⌫d�(E⌫)

dE⌫�(E⌫)


NT for 1.1x1021 proton on target (POT) in (anti-)neutrino mode with a 120 GeV proton beam with 1.2 MW of power;Near Detector of 100 tonnes Argon mass

NuFact 2018




Ei

dE⌫d�(E⌫)

dE⌫�(E⌫)



Efficiency: 85% for νμ (νμ), 80% for νe (νe)_ _

NuFact 2018




Ei

dE⌫d�(E⌫)

dE⌫�(E⌫)



Cross section of the process


NuFact 2018




Ei

dE⌫d�(E⌫)

dE⌫�(E⌫)


NT for 1.1x1021 proton on target (POT) in (anti-)neutrino mode with a 120 GeV proton beam with 1.2 MW of power for a Near Detector of 100 tonnes Argon mass

Cross section of the process

neutrino differentialflux


[DUNE CDR configuration, T. Alion et al. 1606.09550]

NuFact 2018


Neutrino trident production

�CHARMII/�SM = 1.58± 0.57

�CCFR/�SM = 0.82± 0.28

[Phys.Lett. B245, 271(1990)]

[Phys.Rev.Lett. 66, 3117(1991)]

�(⌫b�⇤ ! ⌫a`�c `+d )

�SM(⌫b�⇤ ! ⌫a`�c `

+d )

=�(⌫a�⇤ ! ⌫b`�c `

+d )

�SM(⌫a�⇤ ! ⌫b`�c `

+d )

⇡ 1+2gabcdLL,SM�gabcdLL + gabcdLR,SM�gabcdLR

(gabcdLL,SM)2 + (gabcdLR,SM)2

NuFact 2018

(see also Matheus’ talk)


Neutrino trident production

Rµ ⌘ �(⌫µ ! ⌫µµ�µ+) + �(⌫µ ! ⌫µµ�µ+)

�(⌫µ ! ⌫µµ�µ+)SM + �(⌫µ ! ⌫µµ�µ+)SM= 1± 0.039

�0.039 < 2g2222LL,SM�g2222LL + g2222LR,SM�g2222LR

(g2222LL,SM)2 + (g2222LR,SM)2< 0.039

NuFact 2018


Neutrino scattering off electrons

�⌫µe =s

2⇡v4

(g2211LL )2 +

1

3(g2211LR )2

�⇡ meE⌫

⇡v4

(g2211LL )2 +

1

3(g2211LR )2

�

�⌫µe =s

2⇡v4

(g2211LR )2 +

1

3(g2211LL )2

�⇡ meE⌫

⇡v4

(g2211LR )2 +

1

3(g2211LL )2

�

ECCth =

m2µ

2me= 10.9 GeV

⌫µ e� ! ⌫e µ

�

NuFact 2018



Ri⌫e ⌘

xi�⌫µe + xi�⌫µe

xi�SM⌫µe + xi�SM

⌫µe

x⌫ = 0.9

x⌫ = 0.1

xi = 1� xi{

NuFact 2018



�Ri⌫e = 2

(1 + 2xi) �g2211LL g2211LL,SM + (3� 2xi) �g2211LR g2211LR,SM

(1 + 2xi) (g2211LL,SM)2 + (3� 2xi) (g2211LR,SM)2

�8.0⇥ 10�4 < �R⌫⌫e < 8.0⇥ 10�4 � 9.1⇥ 10�4 < �R⌫

⌫e < 9.1⇥ 10�4

NuFact 2018



CHARM +CHARM II +BNL-E734

stat. dominated

1% syst. Error

NuFact 2018

[Falkowski, GGdC, Tabrizi, JHEP04(2018)101]


Neutrino scattering off nuclei

R⌫aN ⌘ x�⌫aN!⌫aN + x�⌫aN!⌫aN

x�⌫aN!e�a N + x�⌫aN!e+a N

= (g⌫aL )2 + r�1(g⌫a

R )2

r =x�⌫aN!e�a N + x�⌫aN!e+a N

x�⌫aN!e�a N + x�⌫aN!e+a N

generalised Llewellyn-Smith formula

only dependence on the nuclear structure

r⌫ ⇠ 2.5

r⌫ ⇠ 0.4but

1) the 40Ar target nuclei are not isoscalar and the LS formula has to be corrected

2) neglected admixture of electron neutrinos

Cannot neglect systematics!

NuFact 2018



�9.6⇥ 10�5 < �R⌫⌫µN < 9.6⇥ 10�5

�1.4⇥ 10�4 < �R⌫⌫µN < 1.4⇥ 10�4

Ri⌫µN = Ri

⌫µN,SM(1 + �Ri⌫µN )

NuFact 2018



�9.6⇥ 10�5 < �R⌫⌫µN < 9.6⇥ 10�5

�1.4⇥ 10�4 < �R⌫⌫µN < 1.4⇥ 10�4

Ri⌫µN = Ri

⌫µN,SM(1 + �Ri⌫µN )

CHARM +COHERENT

stat. dominated

0.1% syst. error

NuFact 2018



Results

One SMEFT parameter at a time

[Falkowski et al., 1706.03783]

⇥10�4


NuFact 2018

Future DUNE constraints on EFT - G.Grilli di Cortona

Results



⇥10�4

11


NuFact 2018


Results



⇥10�4

11


NuFact 2018


Results



⇥10�4

11


NuFact 2018


Result

NuFact 2018



Conclusions

We investigated the precision reach in the determination of the wEFT and SMEFT Wilson coefficients relevant for the DUNE experiment.

We studied observables related to trident production, neutrino scattering off electrons and neutrino scattering off nuclei at the DUNE Near Detector.

The results show the importance of precision measurements in DUNE and the importance of the effort to reduce the experimental and theoretical source of systematic errors.

NuFact 2018

Backup


Systematic uncertainties

�2 =X

⌫&⌫

�R2

✓1

�2�R

+1

�2sys

◆

statistical uncertainty

systematic uncertainty

NuFact 2018



�Ri⌫µN ' 2

g⌫L,SM�g⌫µ

L + r�1i g⌫R,SM�g

⌫µ

R

(g⌫L,SM)2 + r�1i (g⌫R,SM)2

g⌫X,SM�g⌫µ

X =X

q=u,d

g⌫µqLX,SM�g

⌫µqLX � (g⌫X,SM)2✏

⌫µdL

NuFact 2018

Documents

Future DUNE constraints on EFT · PVDIS PVES meson decays moeller scattering APV Consistent with the SM. Future DUNE constraints on EFT - G.Grilli di Cortona 2 Introduction E 1 TeV