Testing relativity theory with neutrinos l.jpg
This presentation is the property of its rightful owner.
Sponsored Links
1 / 21

Testing Relativity Theory With Neutrinos PowerPoint PPT Presentation


  • 104 Views
  • Uploaded on
  • Presentation posted in: General

Testing Relativity Theory With Neutrinos. Brett Altschul University of South Carolina May 15, 2008. Overview. Lorentz invariance is extremely well tested. Yet many candidate theories of quantum gravity “predict” Lorentz violation in certain regimes, especially at very high speeds.

Download Presentation

Testing Relativity Theory With Neutrinos

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


Testing relativity theory with neutrinos l.jpg

Testing Relativity TheoryWith Neutrinos

Brett Altschul

University of South Carolina

May 15, 2008


Overview l.jpg

Overview

Lorentz invariance is extremely well tested.

Yet many candidate theories of quantum gravity “predict” Lorentz violation in certain regimes, especially at very high speeds.

Neutrino physics offers interesting ways to test whether relativity still holds very close to the speed of light.


Outline l.jpg

Outline

  • Introduction

  • The Standard Model Extension (SME)

  • Tests of Relativity with Neutrinos

  • Conclusion


Introduction l.jpg

Introduction

In the last fifteen years, there has been growing interest in the possibility that Lorentz symmetry may not be exact.

There are two broad reasons for this interest:

Reason One:Many theories that have been put forward as candidates to explain quantum gravity involve LV in some regime.

(For example, string theory, non-commutative geometry, loop quantum gravity…)


Slide5 l.jpg

Reason Two:Lorentz symmetry is a basic building block of both quantum field theory and the General Theory of Relativity, which together describe all observed phenomena.

Anything this fundamental should be tested. Much of the story of modern theoretical physics is how important symmetries do not hold exactly.

There is no excellent beauty that hath not somestrangeness in the proportion. — Francis Bacon


Standard model extension sme l.jpg

Standard Model Extension (SME)

  • Idea: Look for all operators that can contribute to Lorentz violation.

  • Then one usually adds restrictions:

  • locality

  • superficial renormalizability

  • gauge invariance

  • etc...


Slide7 l.jpg

With those restrictions, the Lagrange density for a free fermion looks like:

A separate set of coefficients will exist for every elementary particle in the theory.


Slide8 l.jpg

One important effect of these Lorentz-violating terms is to modify the velocity. For example, with c present:

From this expression, we can see when the effective field theory breaks down. The velocity may become superluminal when . If , this is .

More generally, momentum eigenstates may not be eigenstates of velocity.


Slide9 l.jpg

Most Lorentz-violating effects at high relativistic energies depend on a particle’s maximum achievable velocity (MAV).

The corresponding energy-momentum relation is


Slide10 l.jpg

The photon sector contains more superficially renormalizable couplings.

Most of these couplings are easy to constrain with astrophysical polarimetry.

However, some will require more complicated measurements (e.g. with Doppler shifts or electromagnetostatics).


Slide12 l.jpg

The coefficients need not be diagonal in flavor space either. Like neutrino masses, they may mix different species.

In fact, three-parameter Lorentz-violating models can explain all observed neutrino oscillations (including LSND).

However, many possible parameters have not been probed.

The “full” neutrino sector has 102 Lorentz-violating parameters.


Neutrino tests of relativity l.jpg

Neutrino Tests of Relativity

  • Since neutrinos are always relativistic, they are an interesting laboratory for looking for changes to special relativity.

  • Constraints on can be set in two ways:

  • time of flight measurements, and

  • energy-momentum measurements.


Slide14 l.jpg

It’s well known that SN1987A neutrinos traveled to Earth with a speed that differed from by a fraction .

However, this boundapplies only to electronneutrinos moving in onedirection.


Slide15 l.jpg

We can get better bounds by looking at energetic constraints.We now feel con-fident that ultra-high-energy cosmicrays are primarilyprotons, with en-ergies up toGeV.


Slide16 l.jpg

The protons have to live long enough to travel tens of Mpc to reach Earth.

Normally, that would be no problem, but relativity violations might cause fast-moving protons to decay, even if they’re stable at rest.


Slide17 l.jpg

If the protons has speeds greater than 1, they would emit vacuum Cerenkov radiation.

The primary cosmic rays must also be immune to -decay, .

This is where the neutrinos come in.


Slide18 l.jpg

This decay is disallowed only if

This is only a one-sided bound if the neutrino MAV is isotropic.

However, an anistropic MAV is bounded on both sides at the level.


Slide19 l.jpg

The bounds are the same for the . Just swap the positron for a .

The constraints on the MAV for are worse by a factor of 3, since in a decay, themass makes a significant contribution.

Most other particles that a proton could decay into are also subject to similar or better bounds.


Conclusion l.jpg

Conclusion

Lorentz violation is an interesting possibility to be part of the “Theory of Everything.”Lorentz tests for ultrarelativistic particles like neutrinos are parameterized by the MAV.The fact that primary cosmic ray protons don’t decay into neutrons sets stronger limits on the neutrino MAV than time-of-flight measurements.


Slide21 l.jpg

Thanks to V. A. Kostelecký and E. Altschul.

That’s all, folks!


  • Login