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FIAS Scientific Report 2011 - Frankfurt Institute for Advanced Studies ...

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The quest <strong>for</strong> quantum gravity signals<br />

Collaborators: P. Nicolini 1 , M. Bleicher 1,2 , R. Garattini 3 , M. Rinaldi 4 , M. Sprenger 1,2<br />

1 <strong>Frankfurt</strong> <strong>Institute</strong> <strong>for</strong> <strong>Advanced</strong> <strong>Studies</strong>, 2 Institut für Theoretische Physik, Johann Wolfgang Goethe-Universität,<br />

3 Università di Bergamo, Italy, 4 Université de Gèneve, Switzerland.<br />

Research in quantum gravity is often associated to attempts of describing in an efficient and self consistent way<br />

the gravitational field at quantum level. Even if this is certainly true, it is just a narrow view. Be<strong>for</strong>e embarking<br />

in the <strong>for</strong>mulation of sophisticated theories, a crucial point is to understand whether quantum gravity signals<br />

might be detected in current experiments or in a near future. This task is mandatory but challenging <strong>for</strong> two<br />

reasons: first, it is hard to <strong>for</strong>esee quantum gravity effects without a widely accepted theory of quantum gravity;<br />

second, we conventionally expect quantum gravity effects at a scale, the Planck scale, something like 15 orders<br />

of magnitude higher than the highest energy particle physics experiments.<br />

Despite this background in <strong>2011</strong> we succeeded to determine a detectable signature of quantum gravity effects.<br />

To achieve this, we showed that neutrinos can be the privileged probe to detect the sought signals: even if<br />

neutrino energies do not reach the Planck scale, they propagate without interactions over very large distances<br />

allowing a non-negligible accumulation of small effects. Specifically we showed that the highest-energetic<br />

neutrinos emitted by active galactic nuclei would not oscillate during their propagation towards the Earth, a<br />

fact that opens the possibility of their detection in the original flavor eigenstate at telescopes like IceCube and<br />

ANTARES. A key point of this work has been the implementation of quantum gravity effects in the neutrino<br />

propagation. Along the lines of what already obtained in several other contexts like the Unruh effect and the<br />

quantum vacuum energy, we adopted a string theory induced model of noncommutative geometry to reproduce<br />

the emergence of quantum spacetime graininess in an effective way.<br />

P(νµ → νµ)<br />

1<br />

0.9<br />

0.8<br />

0.7<br />

0.6<br />

0.5<br />

0.4<br />

0.3<br />

0.2<br />

0.1<br />

Classical oscillations<br />

ML oscillations<br />

0<br />

1 10 100<br />

Energy [GeV]<br />

Distance [km]<br />

10 6<br />

8·10 5<br />

6·10 5<br />

4·10 5<br />

2·10 5<br />

∆p > 0.1<br />

∆p > 0.01<br />

∆p > 0.001<br />

0<br />

0 200 400 600 800 1000<br />

Energy [GeV]<br />

On the left: classical and modified (ML) oscillations <strong>for</strong> the two-flavour case with baseline L = 5000 km.<br />

On the right: departures from classical oscillations <strong>for</strong> different values of probability deviation ∆p.<br />

Related publications in <strong>2011</strong>:<br />

1) P. Nicolini and M. Rinaldi, A minimal length versus the Unruh effect, Physics Letters B 695 (<strong>2011</strong>) 303.<br />

2) R. Garattini and P. Nicolini, A Noncommutative approach to the cosmological constant problem, Physical<br />

Review D 83 (<strong>2011</strong>) 064021.<br />

4) M. Sprenger, P. Nicolini and M. Bleicher, Neutrino oscillations as a novel probe <strong>for</strong> a minimal length,<br />

Classical and Quantum Gravity 28 (<strong>2011</strong>) 235019.<br />

5) M. Sprenger, P. Nicolini and M. Bleicher, Quantum Gravity signals in neutrino oscillations, International<br />

Journal of Modern Physics E 20S2 (<strong>2011</strong>) 1.<br />

64

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