579 research outputs found
Spectral Sequences in String Topology
Full text linkIn this paper, we investigate the behaviour of the Serre spectral sequence
with respect to the algebraic structures of string topology in generalized
homology theories, specificially with the Chas-Sullivan product and the
corresponding coproduct and module structures. We prove compatibility for two
kinds of fibre bundles: the fibre bundle for an
-oriented manifold and the looped fibre bundle of a fibre bunde of -oriented manifolds. Our method
lies in the construction of Gysin morphisms of spectral sequences. We apply
these results to study the ordinary homology of the free loop spaces of sphere
bundles and generalized homologies of the free loop spaces of spheres and
projective spaces.Comment: 33 page
Timing information at HL-LHC: complete determination of masses of dark matter and long lived particle
Get PDFA long-standing kinematic challenge in data analysis at hadron colliders is the determination of the masses of invisible particles. This issue is particularly relevant in searches for evidence of dark matter production, which remains one of the prominent targets of future collider experiments. In this paper, we show that the additional information from the precision timing measurements, provided by planned detector upgrades during the high- luminosity run of the LHC (HL-LHC), allows for previously unrealizable measurements of invisible particle kinematics. As a concrete example, we focus on the signal of pair produced long-lived particles (LLP1,2), each decaying with a displaced vertex to visible (V1,2) and invisible (I1,2) final state particles, pp → LLP1 + LLP2 → (V1 + I1) + (V2 + I2). We explicitly show that the complete kinematics of the invisible particles in such events can be determined with the addition of timing information, and evaluate the precision with which the masses of new long-lived and invisible particles can be determined
Timing information at HL-LHC: Complete determination of masses of Dark Matter and Long lived particle
Get PDFA long standing problem in kinematics at the hadron colliders is to determine
the mass of invisible particles. This issue is particularly important for the
signals of dark matter, which becomes one of the prominent targets of future
collider experiments. In this paper, we show that the additional information
from the precise timing measurement, which will be available at the planned
high-liminosity run of the LHC (HL-LHC), will shade new light on the kinematics
study. As a concrete example, we focus on the signal of the pair produced
long-lived particles (), respectively leaving displaced vertex with
visible () and invisible () final state, . We explicitly show that this system is completely
solvable with timing information.Comment: 14 pages, 5 figure
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