Nuclear structure corrections in muonic atoms: Quantifying - - PowerPoint PPT Presentation

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Nuclear structure corrections in muonic atoms: Quantifying - - PowerPoint PPT Presentation

May 19, 2023 170 likes •600 views

Presented By: Oscar Javier Hernandez Nuclear structure corrections in muonic atoms: Quantifying theoretical uncertainties In collaboration with: Andreas Ekstrm Nir Nevo Dinur Chen Ji Sonia Bacca Nir Barnea Phys. Lett. B 778, 377-383,

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In collaboration with: Andreas Ekström Nir Nevo Dinur Chen Ji Sonia Bacca Nir Barnea

Nuclear structure corrections in muonic atoms: Quantifying theoretical uncertainties

  • Phys. Lett. B 778, 377-383, (2018)

Presented By: Oscar Javier Hernandez

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The growing proton radius puzzle

1

[Chen et al, JPG 45, 093002, 2018.]

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The growing proton radius puzzle

1

[Chen et al, JPG 45, 093002, 2018.]

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There is a discrepancy between eD and μD data

2

[Chen et al, JPG 45, 093002, 2018.]

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SLIDE 5

There is a discrepancy between eD and μD data 5.6 σ

2

[Chen et al, JPG 45, 093002, 2018.]

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SLIDE 6

There is a discrepancy between eD and μD data 3.5σ

2

5.6 σ

[Chen et al, JPG 45, 093002, 2018.]

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SLIDE 7

There is a discrepancy between eD and μD data 3.5σ

2

5.6 σ

[Chen et al, JPG 45, 093002, 2018.]

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SLIDE 8

The Lamb shift

3

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The Lamb shift

The dominant nuclear structure corrections are given by the two-photon exchange

3

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The Lamb shift

The dominant nuclear structure corrections are given by the two-photon exchange

Nucleonic Nuclear

3

* C. E. Carlson et al. Phys. Rev. A 89, 022504 (2014).

  • J. J. Krauth, et al. Ann. of Phy. 366, 168 (2016).
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SLIDE 11

228.7766 (10) meV 1.7096 (200) meV

The physics problem

1.7638 (68) meV

4

Theory Experiment

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228.7766 (10) meV 1.7096 (200) meV

The physics problem

1.7638 (68) meV

4

Theory Experiment

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228.7766 (10) meV 1.7096 (200) meV

The physics problem

1.7638 (68) meV

4

Theory Experiment

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μD

5

The nuclear polarizability is a sum of many terms

[JPG 45, 093002, 2018.]

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μD

5

The nuclear polarizability is a sum of many terms

[JPG 45, 093002, 2018.]

Each correction is an integral over the response Corrections are ordered according to the power

  • f the expansion parameter η
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Improving the uncertainty estimates

LO NLO

...

N2LO

...

Ekström et al., PRL (2013), JPG (2015), Carlsson et al., PRX (2016)

6

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Improving the uncertainty estimates

LO NLO

...

N2LO

...

Ekström et al., PRL (2013), JPG (2015), Carlsson et al., PRX (2016)

Statistical uncertainties: 6

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SLIDE 18

Improving the uncertainty estimates

LO NLO

...

N2LO

...

Ekström et al., PRL (2013), JPG (2015), Carlsson et al., PRX (2016)

Statistical uncertainties: Systematic uncertainties: 6

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SLIDE 19

Improving the uncertainty estimates

LO NLO

...

N2LO

...

Ekström et al., PRL (2013), JPG (2015), Carlsson et al., PRX (2016)

Statistical uncertainties: Systematic uncertainties: 6

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SLIDE 20

Improving the uncertainty estimates

LO NLO

...

N2LO

...

Ekström et al., PRL (2013), JPG (2015), Carlsson et al., PRX (2016)

Statistical uncertainties: Systematic uncertainties: Single Nucleon: 6

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SLIDE 21

Improving the uncertainty estimates

LO NLO

...

N2LO

...

Ekström et al., PRL (2013), JPG (2015), Carlsson et al., PRX (2016)

Statistical uncertainties: Systematic uncertainties: Single Nucleon: Higher Order Corrections: 6

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Statistical uncertainties

Propagate uncertainty using standard techniques

7

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Statistical uncertainties

N2LOsim 8

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Statistical uncertainties

N2LOsim Statistical uncert. Correction % Uncert. Statistical 0.06 8

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Sytematic Tlab uncertainties

N2LOsim Systematic Tlab uncert. Correction % Uncert. Statistical 0.06 Tlab Sys. 0.2 9

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Chiral truncation uncertainties

Expand observable in the same Chiral EFT pattern, LO NLO

...

=

10

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Chiral truncation uncertainties

Expand observable in the same Chiral EFT pattern, Truncation uncertainty can then be calculated according to LO NLO

...

=

10 Correction % Uncert. Chiral Trunc. 0.4

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Additional uncertainties

Two body currents + relativistic corr.

Seagull Pion-in-flight

11 Correction % Uncert. MEC 0.15

  • Rel. Corr.

0.05

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Additional uncertainties

Two body currents + relativistic corr.

Seagull Pion-in-flight

Correction % Uncert. MEC 0.15

  • Rel. Corr.

0.05 Nucleon* 0.6

Single Nucleon Physics

* C. E. Carlson et al. Phys. Rev. A 89, 022504 (2014).

  • J. J. Krauth, et al. Ann. of Phy. 366, 168 (2016).

11

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Additional uncertainties

Two body currents + relativistic corr.

Seagull Pion-in-flight

Correction % Uncert. MEC 0.15

  • Rel. Corr.

0.05 Nucleon* 0.6 Atomic Phys. 1.0

Single Nucleon Physics Atomic Physics uncert.

* C. E. Carlson et al. Phys. Rev. A 89, 022504 (2014).

  • J. J. Krauth, et al. Ann. of Phy. 366, 168 (2016).

11

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Final uncertainty budget meV

+0.008 +0.001 +0.005 +0.0102 +0.172 +0.22 12

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Uncertainty comparisons

[Pohl et. al. Science] [Krauth et. al.]

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Uncertainty in other muonic atoms

[Chen et al, JPG 45, 093002, 2018.]

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SLIDE 34

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Uncertainty in other muonic atoms

η-expansion uncertainty estimates are quite large in A=3 systems. Can we confirm this estimate using Bayesian methods?

[Chen et al, JPG 45, 093002, 2018.]

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Can we identify the scale parameter of our expansion (η) and unknown coefficients ?

Estimating the natural scale parameter

15

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Can we identify the scale parameter of our expansion (η) and unknown coefficients ?

Estimating the natural scale parameter

15

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Can we identify the scale parameter of our expansion (η) and unknown coefficients ?

Estimating the natural scale parameter

Bayesian parameter estimation problem independent

15

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MCMC Sampling

16

3H 3He

EMCEE

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Preliminary estimates

17

0.107 0.109 0.109 0.110

Physics based estimates

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Outlook

18

Results: Experimental vs theory difference improved by thorough analysis of nuclear TPE uncertainty. Uncertainty in TPE cannot solve the 5.6 σ discrepancy.

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Outlook

Uncertainty Analysis: Reduce atomic physics uncert.

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Results: Experimental vs theory difference improved by thorough analysis of nuclear TPE uncertainty. Uncertainty in TPE cannot solve the 5.6 σ discrepancy. Use bayesian methods to combine statistical and chiral EFT truncation uncertainty Complete Bayesian η-expansion uncertainty analysis

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Thank you!