Exploring the intrinsic Lorentz- violating parameters at DUNE - - PowerPoint PPT Presentation

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Exploring the intrinsic Lorentz- violating parameters at DUNE - - PowerPoint PPT Presentation

Sep 02, 2022 151 likes •501 views

Exploring the intrinsic Lorentz- violating parameters at DUNE Christoph Andreas Ternes IFIC, Universitat de Valncia/CSIC DUNE-BSM meeting June 19th 2018 Motivation Observation of violation of P symmetry in weak interactions Motivation

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SLIDE 1

Exploring the intrinsic Lorentz- violating parameters at DUNE

Christoph Andreas Ternes IFIC, Universitat de València/CSIC DUNE-BSM meeting June 19th 2018

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SLIDE 2

Motivation

  • Observation of violation of P symmetry in

weak interactions

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SLIDE 3

Motivation

  • Observation of violation of P symmetry in

weak interactions

  • Observation of violation of CP symmetry in

CKM-matrix and (possibly) in PMNS-matrix

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SLIDE 4

Motivation

  • Observation of violation of P symmetry in

weak interactions

  • Observation of violation of CP symmetry in

CKM-matrix and (possibly) in PMNS-matrix

  • What about a violation of CPT?
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SLIDE 5

Motivation

  • Observation of violation of P symmetry in

weak interactions

  • Observation of violation of CP symmetry in

CKM-matrix and (possibly) in PMNS-matrix

  • What about a violation of CPT?
  • Violation of CPT can be induced through

violation of unitarity, locality or Lorentz invariance

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SLIDE 6

Motivation

  • Observation of violation of P symmetry in

weak interactions

  • Observation of violation of CP symmetry in

CKM-matrix and (possibly) in PMNS-matrix

  • What about a violation of CPT?
  • Violation of CPT can be induced through

violation of unitarity, locality or Lorentz invariance

  • We focus here on the violation of Lorentz

invariance

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SLIDE 7

Motivation

  • Introduce Lorentz violation effectively in form
  • f the Standard model extension (SME)
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SLIDE 8

Motivation

  • Introduce Lorentz violation effectively in form
  • f the Standard model extension (SME)
  • In the SME the neutrino sector is described

by with

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SLIDE 9

Motivation

  • Introduce Lorentz violation effectively in form
  • f the Standard model extension (SME)
  • In the SME the neutrino sector is described

by with

  • The Lorentz-violating operator can be

decomposed into

Unobservable

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SLIDE 10

Motivation

  • Introduce Lorentz violation effectively in form
  • f the Standard model extension (SME)
  • In the SME the neutrino sector is described

by with

  • The Lorentz-violating operator can be

decomposed into

Induce effective Hamiltonian for neutrino mixing

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SLIDE 11

Motivation

  • The effective Hamiltonian can be

decomposed into 3x3 blocks:

Neutrino mixing

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SLIDE 12

Motivation

  • The effective Hamiltonian can be

decomposed into 3x3 blocks:

Antineutrino mixing

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SLIDE 13

Motivation

  • The effective Hamiltonian can be

decomposed into 3x3 blocks:

Neutrino-antineutrino mixing

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SLIDE 14

Motivation

  • The effective Hamiltonian can be

decomposed into 3x3 blocks:

Standard oscillations

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SLIDE 15

Motivation

  • The effective Hamiltonian can be

decomposed into 3x3 blocks:

CPT-odd Lorentz violation parameters

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SLIDE 16

Motivation

  • The effective Hamiltonian can be

decomposed into 3x3 blocks:

CPT-even Lorentz violation parameters

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Motivation

  • We focus on the isotropic part of the
  • Hamiltonian. We then obtain

with

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SLIDE 18

Motivation

  • We focus on the isotropic part of the
  • Hamiltonian. We then obtain

with

  • The second matrix is highly constrained by

atmospheric and solar data. We focus only

  • n the first matrix
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SLIDE 19

Motivation

  • Comparing with
  • ne finds a correspondence
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SLIDE 20

Motivation

  • Comparing with
  • ne finds a correspondence
  • Anyway, NSI is basically an exotic matter

effect while CPT violation considered here is an intrinsic effect, present even in vacuum

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SLIDE 21

Motivation

  • Comparing with
  • ne finds a correspondence
  • Anyway, NSI is basically an exotic matter

effect while CPT violation considered here is an intrinsic effect, present even in vacuum

  • To incorporate this type of Hamiltonian we

have modified the already existing GLoBES- extension snu.c

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Results

  • The oscillation probabilities are modified
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Results

  • The oscillation probabilities are modified
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Results

  • This modified probabilities lead to constraints
  • n the new parameters
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Results

  • This modified probabilities lead to constraints
  • n the new parameters
  • The sensitivity to the standard parameters

gets worse

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Results

  • Correlations among the new parameters
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SLIDE 27

Results

  • Correlations among the new parameters
  • Effects of certain parameters can cancel

each other

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Results

  • We can calculate the profiles of each of the

new parameters….

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Results

  • ….and obtain the possible future bounds
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Results

  • ….and obtain the possible future bounds

Improve bounds by a factor of around 5

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SLIDE 31

Results

  • ….and obtain the possible future bounds

No improvement here

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SLIDE 32

Results

  • ….and obtain the possible future bounds

New bounds here!

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SLIDE 33

Bibliography

  • G. Barenboim, M. Masud, C.A. Ternes, M.

Tórtola (2018), 1805.11094

  • J. S. Diaz (2016), 1609.09474
  • J. S. Diaz (2015), 1506.01936
  • V. A. Kostelecky, M. Mewes, Phys. Rev. D69,

016005 (2004), hep-ph/0309025

  • A. Kostelecky ,M. Mewes, Phys. Rev. D85,

096005 (2012), 1112.6395

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SLIDE 34

Thank you!