We extend the calculation of radiative corrections to momentum broadening in a QCD medium to include processes where single scattering dominates over multiple soft scatterings. Our analysis focusses on processes that are enhanced by a potentially large double logarithmic contribution. We demonstrate that such double logarithmic contributions emerge in calculations of momentum broadening in dilute systems where only single scattering occurs. We show how the different regimes, multiple versus single scattering, constrain different parts of the phase space.

Jean-Paul Blaizot Fabio Dominguez

The successful operation of the Large Hadron Collider (LHC) and the excellent performance of the ATLAS, CMS, LHCb and ALICE detectors in Run-1 and Run-2 with $pp$ collisions at center-of-mass energies of 7, 8 and 13 TeV as well as the giant leap in precision calculations and modeling of fundamental interactions at hadron colliders have allowed an extraordinary breadth of physics studies including precision measurements of a variety physics processes. The LHC results have so far confirmed the validity of the Standard Model of particle physics up to unprecedented energy scales and with great precision in the sectors of strong and electroweak interactions as well as flavour physics, for instance in top quark physics. The upgrade of the LHC to a High Luminosity phase (HL-LHC) at 14 TeV center-of-mass energy with 3 ab$^{-1}$ of integrated luminosity will probe the Standard Model with even greater precision and will extend the sensitivity to possible anomalies in the Standard Model, thanks to a ten-fold larger data set, upgraded detectors and expected improvements in the theoretical understanding. This document summarises the physics reach of the HL-LHC in the realm of strong and electroweak interactions and top quark physics, and provides a glimpse of the potential of a possible further upgrade of the LHC to a 27 TeV $pp$ collider, the High-Energy LHC (HE-LHC), assumed to accumulate an integrated luminosity of 15 ab$^{-1}$.

P. Azzi S. Farry P. Nason A. Tricoli D. Zeppenfeld R. Abdul Khalek J. Alimena N. Andari L. Aperio Bella A. J. Armbruster J. Baglio S. Bailey E. Bakos A. Bakshi C. Baldenegro F. Balli A. Barker W. Barter J. de Blas F. Blekman D. Bloch A. Bodek M. Boonekamp E. Boos J. D. Bossio Sola L. Cadamuro S. Camarda F. Campanario M. Campanelli J. M. Campbell Q. -H. Cao V. Cavaliere A. Cerri G. S. Chahal B. Chargeishvili C. Charlot S. -L. Chen T. Chen L. Cieri M. Ciuchini G. Corcella S. Cotogno R. Covarelli J. M. Cruz-Martinez M. Czakon A. Dainese N. P. Dang L. Darmé S. Dawson H. De la Torre M. Deile F. Deliot S. Demers A. Denner F. Derue L. Di Ciaccio W. K. Di Clemente D. Dominguez Damiani L. Dudko A. Durglishvili M. Dünser J. Ebadi R. B. Ferreira De Faria G. Ferrera A. Ferroglia T. M. Figy K. D. Finelli M. C. N. Fiolhais E. Franco R. Frederix B. Fuks B. Galhardo J. Gao J. R. Gaunt T. Gehrmann A. Gehrmann-De Ridder D. Giljanovic F. Giuli E. W. N. Glover M. D. Goodsell E. Gouveia P. Govoni C. Goy M. Grazzini A. Grohsjean J. F. Grosse-Oetringhaus P. Gunnellini C. Gwenlan L. A. Harland-Lang P. F. Harrison G. Heinrich C. Helsens M. Herndon O. Hindrichs V. Hirschi A. Hoang K. Hoepfner J. M. Hogan A. Huss S. Jahn Sa. Jain S. P. Jones A. W. Jung H. Jung S. Kallweit D. Kar A. Karlberg T. Kasemets M. Kerner M. K. Khandoga H. Khanpour S. Khatibi A. Khukhunaishvili J. Kieseler J. Kretzschmar J. Kroll E. Kryshen V. S. Lang L. Lechner C. A. Lee M. Leigh D. Lelas R. Les I. M. Lewis B. Li Q. Li Y. Li J. Lidrych Z. Ligeti J. M. Lindert Y. Liu K. Lohwasser K. Long D. Lontkovskyi G. Majumder M. Mancini P. Mandrik M. L. Mangano I. Marchesini C. Mayer K. Mazumdar J. A. McFayden P. M. Mendes Amaral Torres Lagarelhos A. B. Meyer S. Mikhalcov S. Mishima A. Mitov M. Mohammadi Najafabadi M. Moreno Llácer M. Mulders M. Myska M. Narain A. Nisati T. Nitta A. Onofre S. Pagan Griso D. Pagani E. Palencia Cortezon A. Papanastasiou K. Pedro M. Pellen M. Perfilov L. Perrozzi B. A. Petersen M. Pierini J. Pires M. -A. Pleier S. Plätzer K. Potamianos S. Pozzorini A. C. Price M. Rauch E. Re L. Reina J. Reuter T. Robens J. Rojo C. Royon S. Saito A. Savin S. Sawant B. Schneider R. Schoefbeck M. Schoenherr H. Schäfer-Siebert M. Seidel M. Selvaggi T. Shears L. Silvestrini M. Sjodahl K. Skovpen N. Smith D. Spitzbart P. Starovoitov C. J. E. Suster P. Tan R. Taus D. Teague K. Terashi J. Terron S. Uplap F. Veloso M. Verzetti M. A. Vesterinen V. E. Vladimirov P. Volkov G. Vorotnikov M. Vranjes Milosavljevic N. Vranjes E. Vryonidou D. Walker M. Wiesemann Y. Wu T. Xu S. Yacoob E. Yazgan J. Zahreddine G. Zanderighi M. Zaro O. Zenaiev G. Zevi Della Porta C. Zhang W. Zhang H. L. Zhu R. Zlebcik F. N. Zubair

Recent results using radial-velocity measurements from the Gaia-ESO Survey have led to the discovery of multiple kinematic populations across the Vela OB2 association. We present here a proper-motion study of the same region. Our aim is to test whether the radial-velocity populations have a counterpart in proper-motion space, and if so, how the two sets of kinematical data complement each other. This work is based on parallaxes and proper motions from the TGAS catalog, as part of Gaia DR1. Two distinct proper-motion populations are found dispersed across ~5 degrees (or ~30 pc at their likely distances). Their detailed correspondence to the radial-velocity populations could not be tested, because of the paucity of common objects. However, compelling indications are found that one of the new proper-motion populations consists mostly of members of the young cluster NGC 2547, and the other is related to the gamma Vel cluster. Constraints on the age of the two populations, both of which appear to be only 10-35 Myr old, and their possible mutual interactions within the last 1.5 Myrs, are discussed.

F. Damiani L. Prisinzano R. D. Jeffries G. G. Sacco S. Randich G. Micela

I review several topics pertaining to Weak decays of b and c quarks, including measurements of Vcb, |Vub/Vcb|, fDs and b->s gamma.

Sheldon Stone

In this work, a non intrusive load disaggregation scheme is proposed. By using a kernel based nonlinear regression strategy, the switching dynamic of an electric network, simulated as a set of RLC circuits with chaotic switching, is approximated using a time series of the total power consumption. The results suggest that the employed methodology can be useful in the design of efficient load disaggregation schemes.

P. Garcia X. Dominguez D. Chiza

QCD finite energy sum rules, together with the latest updated ALEPH data on hadronic decays of the tau-lepton are used in order to determine the vacuum condensates of dimension $d=2$ and $d=4$. These data are also used to check the validity of the Weinberg sum rules, and to determine the chiral condensates of dimension $d=6$ and $d=8$, as well as the chiral correlator at zero momentum, proportional to the counter term of the ${\cal{O}}(p^4)$ Lagrangian of chiral perturbation theory, $\bar{L}_{10}$. Suitable (pinched) integration kernels are introduced in the sum rules in order to suppress potential quark-hadron duality violations. We find no compelling indications of duality violations in the kinematic region above $s \simeq 2.2$ GeV$^2$ after using pinched integration kernels.

C. A. Dominguez L. A. Hernandez K. Schilcher H. Spiesberger

We present the preliminary results of the study of an interesting target in the first CoRoT exo-planet field (IRa1): CoRoT 102918586. Its light curve presents additional variability on the top of the eclipses, whose pattern suggests multi- frequency pulsations. The high accuracy CoRoT light curve was analyzed by applying an iterative scheme, devised to disentangle the effect of eclipses from the oscillatory pattern. In addition to the CoRoT photometry we obtained low resolution spectroscopy with the AAOmega multi-fiber facility at the Anglo Australian Observatory, which yielded a spectral classification as F0 V and allowed us to infer a value of the primary star effective temperature. The Fourier analysis of the residuals, after subtraction of the binary light curve, gave 35 clear frequencies. The highest amplitude frequency, of 1.22 c/d, is in the expected range for both \gamma Dor and SPB pulsators, but the spectral classification favors the first hypothesis. Apart from a few multiples of the orbital period, most frequencies can be interpreted as rotational splitting of the main frequency (an l = 2 mode) and of its overtones.

C. Maceroni D. Cardini C. Damiani D. Gandolfi J. Debosscher A. Hatzes E. W. Guenther C. Aerts

The Bercovici-Pata bijection maps the set of classical infinitely divisible distributions to the set of free infinitely divisible distributions. The purpose of this work is to study random matrix models for free infinitely divisible distributions under this bijection. First, we find a specific form of the polar decomposition for the L\'{e}vy measures of the random matrix models considered in Benaych-Georges who introduced the models through their measures. Second, random matrix models for free infinitely divisible distributions are built consisting of infinitely divisible matrix stochastic integrals whenever their corresponding classical infinitely divisible distributions admit stochastic integral representations. These random matrix models are realizations of random matrices given by stochastic integrals with respect to matrix-valued L\'{e}vy processes. Examples of these random matrix models for several classes of free infinitely divisible distributions are given. In particular, it is shown that any free selfdecomposable infinitely divisible distribution has a random matrix model of Ornstein-Uhlenbeck type $\int_{0}^{\infty}e^{-t}d\Psi_{t}^{d}$, $d\geq1$, where $\Psi_{t}^{d}$ is a $d\times d$ matrix-valued L\'{e}vy process satisfying an $I_{\log}$ condition.

J. Armando Domínguez Molina Alfonso Rocha Arteaga

An exhaustive number of QCD finite energy sum rules for $\tau$-decay together with the latest updated ALEPH data is used to test the assumption of global duality. Typical checks are the absence of the dimension $d=2$ condensate, the equality of the gluon condensate extracted from vector or axial vector spectral functions, the Weinberg sum rules, the chiral condensates of dimensions $d=6$ and $d=8$, as well as the extraction of some low-energy parameters of chiral perturbation theory. Suitable pinched linear integration kernels are introduced in the sum rules in order to suppress potential quark-hadron duality violations and experimental errors. We find no compelling indications of duality violations in hadronic $\tau$-decay in the kinematic region above $s\simeq2.2$ GeV$^{2}$ for these kernels.

C. A. Dominguez L. A. Hernandez K. Schilcher H. Spiesberger

In this paper we propose a unified approach, based on limiting interpolation, to investigate the embeddings for the Sobolev space $(\dot{W}^k_p(\mathcal{X}))_0, \, \mathcal{X} \in \{\mathbb{R}^d, \mathbb{T}^d, \Omega\}$, in the subcritical case ($k < d/p$), critical case ($k = d/p$) and supercritical case ($k > d/p$). We characterize the Sobolev embeddings in terms of pointwise inequalities involving rearrangements and moduli of smoothness/derivatives of functions and via extrapolation theorems for corresponding smooth function spaces. Applications include Ulyanov-Kolyada type inequalities for rearrangements, inequalities for moduli of smoothness, sharp Jawerth-Franke embeddings for Lorentz-Sobolev spaces, various characterizations of Gagliardo-Nirenberg, Trudinger, Maz'ya-Hansson-Brezis-Wainger and Brezis-Wainger embeddings, among others. In particular, we show that the Tao's extrapolation theorem holds true in the setting of Sobolev inequalities. This gives a positive answer to a question recently posed by Astashkin and Milman.

Oscar Domínguez Sergey Tikhonov