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We study the discrimination of N mixed quantum states in an optimal measurement that maximizes the probability of correct results while the probability of inconclusive results is fixed at a given value. After considering the discrimination…

Quantum Physics · Physics 2015-06-11 Ulrike Herzog

For a family of random intermittent dynamical systems with a superattracting fixed point we prove that a phase transition occurs between the existence of an absolutely continuous invariant probability measure and infinite measure depending…

Dynamical Systems · Mathematics 2023-05-31 Charlene Kalle , Benthen Zeegers

Many real objects are modeled as discrete sets of points, such as corners or other salient features. For our main applications in chemistry, points represent atomic centers in a molecule or a solid material. We study the problem of…

Computational Geometry · Computer Science 2026-01-01 Daniel Widdowson , Vitaliy Kurlin

We propose determining |V_{ub}| from inclusive semileptonic B decay using combined cuts on the leptonic and hadronic invariant masses to eliminate the b->c background. Compared to a pure dilepton invariant mass cut, the uncertainty from…

High Energy Physics - Phenomenology · Physics 2010-05-28 Christian W. Bauer , Zoltan Ligeti , Michael Luke

The isospin-breaking vector meson decay constants are determined from a QCD sum rule analysis of the vector current correlator $<O| T(V^3_\mu V^8_\nu)| O>$, using a recently proposed implementation of the finite energy sum rule approach.…

High Energy Physics - Phenomenology · Physics 2016-08-25 Kim Maltman , Carl E. Wolfe

This paper addresses the problem of checking invariant properties for a large class of symbolic transition systems, defined by a combination of SMT theories and quantifiers. State variables can be functions from an uninterpreted sort…

Logic in Computer Science · Computer Science 2024-03-01 Gianluca Redondi , Alessandro Cimatti , Alberto Griggio , Kenneth McMillan

Perturbative calculations with unstable particles require the inclusion of their finite decay widths. A convenient, universal scheme for this purpose is the complex-mass scheme. It fully respects gauge-invariance, is straight-forward to…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Denner , S. Dittmaier

We present a set of Lorentz invariant kinematic variables for reconstructing mass of semi-invisible decaying particles pair-produced at lepton colliders, $m_{\rm RC}^{\rm min}$, $m_{\rm RC}^{\rm max}$ and $m_{\rm LSP}^{\rm max}$, with…

High Energy Physics - Phenomenology · Physics 2023-09-13 Jin Min Yang , Yang Zhang , Pengxuan Zhu , Rui Zhu

I consider the two-body decay of a particle at a hadron collider into a visible and an invisible particle, generalizing $W \to e \nu$, where the masses of the decaying particle and the invisible decay particle are, {\em a priori}, unknown.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ben Gripaios

We present a general solution to the long standing problem of determining the masses of pair-produced, semi-invisibly decaying particles at hadron colliders. We define two new transverse kinematic variables, $M_{CT_\perp}$ and…

High Energy Physics - Phenomenology · Physics 2011-08-22 Konstantin T. Matchev , Myeonghun Park

The demixing transition of a binary fluid mixture of additive hard spheres is analyzed for different size asymmetries by starting from the exact low-density expansion of the pressure. Already within the second virial approximation the fluid…

Statistical Mechanics · Physics 2009-11-10 M. Lopez de Haro , C. F. Tejero

If new particles are discovered at the LHC, it will be important to determine their spins in as model-independent a way as possible. We consider the case, commonly encountered in models of physics beyond the Standard Model, of a new scalar…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christiana Athanasiou , Christopher G. Lester , Jennifer M. Smillie , Bryan R. Webber

We introduce a variable useful for measuring masses of particles pair produced at hadron colliders, where each particle decays to one particle that is directly observable and another particle whose existence can only be inferred from…

High Energy Physics - Phenomenology · Physics 2010-04-06 C. G. Lester , D. J. Summers

Evaluation of a variable Yd from certain measured variable(s) Xi(s), by making use of their system-specific-relationship (SSR), is generally referred as the indirect measurement. Naturally the SSR may stand for a simple data-translation…

Data Analysis, Statistics and Probability · Physics 2009-09-10 B. P. Datta

This paper is a survey of methods for solving smooth (strongly) monotone stochastic variational inequalities. To begin with, we give the deterministic foundation from which the stochastic methods eventually evolved. Then we review methods…

Optimization and Control · Mathematics 2023-04-04 Aleksandr Beznosikov , Boris Polyak , Eduard Gorbunov , Dmitry Kovalev , Alexander Gasnikov

Many beyond the Standard Model theories include a stable dark matter candidate that yields missing / invisible energy in collider detectors. If observed at the Large Hadron Collider, we must determine if its mass and other properties (and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hsin-Chia Cheng , Dalit Engelhardt , John F. Gunion , Zhenyu Han , Bob McElrath

We describe an algorithm for computing the maximal invariant set for a Markov chain with linear safety constraints on the distribution over states. We then propose a Markov chain synthesis method that guarantees finite determination of the…

Optimization and Control · Mathematics 2019-05-06 Dylan Janak , Behçet Açıkmeşe

We introduce a general scheme to detect various multiparticle entanglement structures from global non-permutationally invariant observables. In particular, we derive bounds on the variance of non-permutationally invariant and collective…

Quantum Physics · Physics 2017-08-24 Oliver Marty , Marcus Cramer , Giuseppe Vitagliano , Geza Toth , Martin B. Plenio

Static packings of perfectly rigid particles are investigated theoretically and numerically. The problem of finding the contact forces in such packings is formulated mathematically. Letting the values of the contact forces define a vector…

Materials Science · Physics 2009-11-10 Sean McNamara , Hans Herrmann

Topological behavior, such as chaos, irreducibility, and mixing of a one-sided shift of finite type, is well elucidated. Meanwhile, the investigation of multidimensional shifts, for instance, textile systems is difficult and only a few…

Dynamical Systems · Mathematics 2015-09-10 Jung-Chao Ban , Chih-Hung Chang
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