336 research outputs found
L-invariants for cohomological representations of PGL(2) over arbitrary number fields
No full textGehrmann L, Pati MR. L-invariants for cohomological representations of PGL(2) over arbitrary number fields. Forum of Mathematics, Sigma. 2024;12: e71.**Abstract**
Let
be a cuspidal, cohomological automorphic representation of an inner form
G
of
over a number field
F
of arbitrary signature. Further, let
be a prime of
F
such that
G
is split at
and the local component
of
at
is the Steinberg representation. Assuming that the representation is noncritical at
, we construct automorphic
-invariants for the representation
. If the number field
F
is totally real, we show that these automorphic
-invariants agree with the Fontaine–Mazur
-invariant of the associated
p
-adic Galois representation. This generalizes a recent result of Spieß respectively Rosso and the first named author from the case of parallel weight
to arbitrary cohomological weights.
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Christian Velder : 300 Jahre Französisches Gymnasium Berlin, 1989 ; Bernard Frank : Collège Français. Französisches Gymnasium Berlin. 1689-1989, 1989 ; Christian Velder et Rolf Gehrmann : Französisches Gymnasium. Materialienband, 1989
No full textBourel Dominique. Christian Velder : 300 Jahre Französisches Gymnasium Berlin, 1989 ; Bernard Frank : Collège Français. Französisches Gymnasium Berlin. 1689-1989, 1989 ; Christian Velder et Rolf Gehrmann : Französisches Gymnasium. Materialienband, 1989. In: Dix-huitième Siècle, n°22, 1990. Voyager, explorer. pp. 528-529
Model-Based Identification of the Base of the Gas Hydrate Stability Zone in Multichannel Reflection Seismic Data, Offshore Costa Rica
No full textAlong the pacific margin offshore Costa Rica the Bottom Simulating Reflector (BSR) shows a patchy occurrence in 2-D seismic reflection profiles. The reason for this can be either lack of free gas beneath parts of the gas hydrate stability zone (GHSZ) or poor seismic imaging. We compare far to near offset stacked common midpoint sections to reduce imaging ambiguity utilizing the amplitude variation with offset effect and thus successfully distinguish BSRs from regular sediment reflections. In combination with 1-D modeling of the base of the GHSZ we disqualify or qualify reflections in the predicted depth range as BSR. Additionally we calculate the heat flow and compare it with an analytical solution to detect thermal anomalies, for example, at the frontal prism. The higher confidence in BSR depths based on the far offset stacks and heat flow calculations allows further analyses on gas hydrate concentration estimates and tectonic evolution of the margin
The monetary value of sport participation and volunteering: The wellbeing valuation approach
No full textThormann T, Gehrmann S, Wicker P. The monetary value of sport participation and volunteering: The wellbeing valuation approach. In: Deutscher C, Wicker P, eds. 12th ESEA Conference on Sport Economics – Book of Abstracts. 68-70. 2021
NLO+NLL′ accurate predictions for three-jet event shapes in hadronic Higgs decays
No full textAbstract We present resummed predictions at next-to-leading logarithmic accuracy matched to the exact next-to-leading order results for a set of classical event-shape observables in hadronic Higgs decays, i.e., for the channels H → gg and H → b b ¯ . We furthermore consider soft-drop grooming of the hadronic final states and derive corresponding NLO+NLL′ predictions for the groomed thrust observable. Differences in the QCD radiation pattern of gluon- and quark-initiated final states are imprinted in the event-shape distributions, offering separation power for the two decay channels. In particular, we show that ungroomed event shapes in H → gg decays develop a considerably harder spectrum than in H → b b ¯ decays. We highlight that soft-drop grooming can substantially alter this behaviour, unless rather inclusive grooming parameters are chosen
Precise predictions for event shapes in hadronic Higgs decays
No full textAbstract We present NNLO QCD predictions for a wide range of event-shape observables in hadronic Higgs decays, taking into account the two dominant decay modes H → gg and H → b b ¯ . Specifically, we consider the six classical event shapes thrust, heavy jet mass, C-parameter, total and wide jet broadening, and the three-jet resolution y23 in the Durham algorithm. We also present results for the soft-drop variant of thrust. Decays of the Higgs boson to two gluons are treated in the heavy-top limit, whereas decays to a bottom-quark pair are mediated by a non-vanishing Yukawa coupling, despite considering kinematically massless quarks. Our results highlight the importance of NNLO QCD corrections in the calculation of event-shape observables in hadronic Higgs decays
Electroweak corrections to hadronic event shapes and jet production in e+e− annihilation
No full textWe present a complete calculation of the electroweak O(α3α) corrections to three-jet production and related event-shape observables at electron-positron colliders. The Z-boson resonance is described within the complex-mass scheme, rendering the calculation valid both in the resonance and off-shell regions. Higher-order initial-state radiation is included in the leading-logarithmic approximation. We properly account for the corrections to the total hadronic cross section and for the experimental photon isolation criteria. To this end we implement contributions of the quark-to-photon fragmentation function both in the slicing and subtraction formalism. The effects of the electroweak corrections on various event-shape distributions and on the three-jet rate are studied. They are typically at the few-percent level, and remnants of the radiative return are found even after inclusion of appropriate cuts.
Title:
Electroweak corrections to hadronic event shapes and jet production in e+e‑ annihilation
Authors:
Denner, Ansgar; Dittmaier, Stefan; Gehrmann, Thomas; Kurz, Christian
Affiliation:
AA(Paul Scherrer Institut, CH-5232 Villigen PSI, Switzerland), AB(Physikalisches Institut, Albert-Ludwigs-Universität Freiburg, D-79104 Freiburg, Germany), AC(Institut für Theoretische Physik, Universität Zürich, CH-8057 Zürich, Switzerland), AD(Paul Scherrer Institut, CH-5232 Villigen PSI, Switzerland; Institut für Theoretische Physik, Universität Zürich, CH-8057 Zürich, Switzerland
Big principal series, -adic families and -invariants
No full textGehrmann L, Rosso G. Big principal series, -adic families and -invariants. Compositio Mathematica. 2022;158(2):409-436.
In earlier work, the first named author generalized the construction of Darmon-style
-invariants to cuspidal automorphic representations of semisimple groups of higher rank, which are cohomological with respect to the trivial coefficient system and Steinberg at a fixed prime. In this paper, assuming that the Archimedean component of the group has discrete series we show that these automorphic
-invariants can be computed in terms of derivatives of Hecke eigenvalues in
-adic families. Our proof is novel even in the case of modular forms, which was established by Bertolini, Darmon and Iovita. The main new technical ingredient is the Koszul resolution of locally analytic principal series representations by Kohlhaase and Schraen. As an application of our results we settle a conjecture of Spieß: we show that automorphic
-invariants of Hilbert modular forms of parallel weight
are independent of the sign character used to define them. Moreover, we show that they are invariant under Jacquet–Langlands transfer and, in fact, equal to the Fontaine–Mazur
-invariant of the associated Galois representation. Under mild assumptions, we also prove the equality of automorphic and Fontaine–Mazur
-invariants for representations of definite unitary groups of arbitrary rank. Finally, we study the case of Bianchi modular forms to show how our methods, given precise results on eigenvarieties, can also work in the absence of discrete series representations.
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Demonstration: A cloud-native digital twin with adaptive cloud-based control and intrusion detection
No full textDigital twins are taking a central role in the industry 4.0 narrative. How-ever, they are still illusive. Many aspects of the digital-twins have yet to materialize.For example, to what degree will they be integrated into cloud and industry 4.0 sys-tems as well as how and if they should augment their physical counterpart. Thosechoices are accompanied by challenging security aspects, many of which have to bestudied partially. In this paper, we present a novel digital-twin demonstrator that en-ables experimentation and advanced research on such systems. The demonstrator iscloud-native, has a distributed adaptive control system, incorporates edge and publicclouds, a PLC, intrusion detection, a wireless network emulator, and an attacker
Cryptanalysis of the Gemmell and Naor Multiround Authentication Protocol
No full textGemmell and Naor proposed a new protocol for the authentication of long messages which was based on block codes and which used a transmission channel k times. This multiround authentication makes it possible to limit the key size independently of the message length. We propose a new attack and show that the probability analysis made by Gemmell and Naor, which was only based on the minimum distance property of the codes, does not hold for our attack. Considering also the impersonation attack we conclude that the number of rounds have to be odd
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