We provide a systematic treatment of the previously discovered power-enhanced QED corrections to the leptonic decay $B_q\to \mu^+\mu^-$ ($q = d, s$) in the framework of soft-collinear effective theory (SCET). Employing two-step matching on SCET$_\text{I}$ and SCET$_\text{II}$, and the respective renormalization group equations, we sum the leading-logarithmic QED corrections and the mixed QED-QCD corrections to all orders in the couplings for the matrix element of the semileptonic weak effective operator $\sim Q_9$. We propose a treatment of the $B$-meson decay constant and light-cone distribution amplitude in the presence of process-specific QED corrections. Finally we include ultrasoft photon radiation and provide updated values of the non-radiative and radiative branching fractions of $B_q \to \mu^+\mu^-$ decay that include the double-logarithmic QED and QCD corrections.

The Future Circular Collider (FCC) at CERN, a proposed 100-km circular facility with several colliders in succession, culminates with a 100 TeV proton-proton collider. It offers a vast new domain of exploration in particle physics, with orders of magnitude advances in terms of Precision, Sensitivity and Energy. The implementation plan foresees, as a first step, an Electroweak Factory electron-positron collider. This high luminosity facility, operating between 90 and 365 GeV centre-of-mass energy, will study the heavy particles of the Standard Model, Z, W, Higgs, and top with unprecedented accuracy. The Electroweak Factory $e^+e^-$ collider constitutes a real challenge to the theory and to precision calculations, triggering the need for the development of new mathematical methods and software tools. A first workshop in 2018 had focused on the first FCC-ee stage, the Tera-Z, and confronted the theoretical status of precision Standard Model calculations on the Z-boson resonance to the experimental demands. The second workshop in January 2019, which is reported here, extended the scope to the next stages, with the production of W-bosons (FCC-ee-W), the Higgs boson (FCC-ee-H) and top quarks (FCC-ee-tt). In particular, the theoretical precision in the determination of the crucial input parameters, alpha_QED, alpha_QCD, M_W, m_t at the level of FCC-ee requirements is thoroughly discussed. The requirements on Standard Model theory calculations were spelled out, so as to meet the demanding accuracy of the FCC-ee experimental potential. The discussion of innovative methods and tools for multi-loop calculations was deepened. Furthermore, phenomenological analyses beyond the Standard Model were discussed, in particular the effective theory approaches. The reports of 2018 and 2019 serve as white papers of the workshop results and subsequent developments.

A summary is presented of the workshop "top physics at linear colliders" that was held at IFIC Valencia from the 30th of June to the 3rd July 2015. We present an up-to-date status report of studies into the potential for top quark physics of lepton colliders with an energy reach that exceeds the top quark pair production threshold, with a focus on the linear collider projects ILC and CLIC. This summary shows that such projects can offer very competitive determinations of top quark properties (mass, width) and its interactions with other Standard Model particles, in particular electroweak gauge bosons and the Higgs boson. In both areas the prospects exceed the LHC potential significantly - often by an order of magnitude.

briefly summarize the factorization approach to hadronic B decays emphasizing theoretical results that have become available recently. The discussion of its application to data is abridged, and only the determination of gamma = (71 +/- 5)degrees from time-dependent CP asymmetries is included in some detail.

We show that the factorization formula for nonleptonic B decays to two light flavor-nonsinglet mesons derived by Bauer et al. in the context of soft-collinear effective theory is equivalent to the corresponding formula in the QCD factorization approach. The apparent numerical differences in the analysis of B ->pi pi data performed by these authors, as compared to previous QCD factorization analyses, can largely be attributed to the neglect of known perturbative and power corrections.

Negatively charged platinum carbonyl Chini complexes [Pt3(CO)6]n2− with n = 2–4 were synthesized by reductive carbonylation of Pt2+ in NaX zeolite and subsequently decomposed in vacuum at temperatures up to 773 K. The Pt clusters obtained preserved a low nuclearity, evidenced by rapid recarbonylation resulting in regeneration of the initial carbonyl Chini complexes. The electronic state of the metal clusters was probed by diffuse reflectance infrared Fourier transform (DRIFT) spectroscopy of chemisorbed CO and H2. A strong electron donor capacity of Pt was indicated by the bands of (i) the linearly bonded CO at 1958–1976 cm−1 and (ii) the stretching frequency of terminal platinum hydrides at 2040 cm−1. It was concluded that the strong donor properties have to be attributed to negative charging of the Pt clusters, originating from the precursor carbonyl complex.

The direct carbonylation of [Pt(NH3)4]2+-exchanged zeolite NaEMT generates [Pt3(CO)3(μ-CO)3]2−3 complexes nearly exclusively. The preferential formation of triplane complexes is attributed to the perfect matching of the complex with a nearly threefold symmetry axis to the hosting hypercage exhibiting a threefold symmetry as well. The complexes are formed by a reductive carbonylation, where (i) the reducing hydrogen is produced via the low-temperature water–gas shift reaction and (ii) the formed protons are stored in charge compensating ammonium ions. Small subnanometer platinum clusters of zero (Pt0x) and partial positive (Ptδ+x) charge are found during the decarbonylation of the anionic platinum carbonyl clusters, generated by reoxidation with the aid of the stored protons. The smallest clusters are assumed to exhibit a size-quantization (metal–insulator transition) effect. All transient states of the processes are monitored by UV–vis and IR spectroscopy in situ.

The carbonylation of platinum tetrammine ions in NaX zeolite to platinum anionic (Chini) carbonyl complexes ([Pt3(CO)6]n2−, n=2), oxidation of these complexes and their recarbonylation were studied using in situ FTIR and UV/Vis spectroscopy. The near-surface layers as well as the Pt state were examined by XPS, and normalized absorbance of white line of the Pt L3-edge, evaluated from EXAFS experiments, was monitored in the course of the formation and decomposition of anionic Pt carbonyl complexes. It follows that the positive charge of platinum of the starting complex [Pt(NH3)4]2+ in NaX is largely maintained during carbonylation as well as oxidation and recarbonylation. From the kinetics of recarbonylation of the oxidized complex, which is faster than the primary carbonylation by more than one order of magnitude, a preservation of the Pt skeleton of the primary carbonyl is deduced. Mass spectrometric analysis of the gases evolved during decomposition of the complexes formed by carbonylation, oxidation and recarbonylation, enabled two suggestions to be made: (i) the composition of the oxidized complex; and (ii) stoichiometries for the conversions in agreement with all experimental data.

The effect of water content in [Pt(NH3)4]2+NaX on the direct synthesis of Pt Chini complexes [Pt3(CO)6]22− embedded in zeolitic cavities as well as the carbonylation process of PtNaX to the same anionic complex were studied using in situ FTIR and UV–Vis spectroscopies. It was found that the presence of water affects carbonylation route of the Pt tetrammine complexes; low water content makes this carbonylation similar to that of PtNaX. The interplay of water content and active sites needed for its decomposition via WGS reaction is assumed to play the decisive role in the reaction route. The rate of carbonylation is affected by the amount of zeolitic water, which supports migration of Pt species and supplies protons to the charge-compensating species, accelerating thus the carbonylation process. IR wavenumbers of both bridge and on-top bonded CO in platinum Chini complexes depend on the amount of water ligands.

We show that, in the heavy quark limit, the hadronic matrix elements that enter $B$ meson decays into two light mesons can be computed from first principles, including ``nonfactorizable'' strong interaction corrections, and expressed in terms of form factors and meson light-cone distribution amplitudes. The conventional factorization result follows in the limit when both power corrections in $1/{m}_{b}$ and radiative corrections in ${\ensuremath{\alpha}}_{s}$ are neglected. We compute the order- ${\ensuremath{\alpha}}_{s}$ corrections to the decays ${B}_{d}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$, ${B}_{d}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{0}{\ensuremath{\pi}}^{0}$, and ${B}^{+}\ensuremath{\rightarrow}{\ensuremath{\pi}}^{+}{\ensuremath{\pi}}^{0}$ in the heavy quark limit and briefly discuss the phenomenological implications for the branching ratios, strong phases and CP violation.

I review recent progress in understanding inclusive quarkonium production in hadron collisions. The first part focuses on non-relativistic QCD as an effective theory. I discuss its differences from and similarities with effective theories describing bound states of a single heavy quark, as far as matching calculations beyond tree-level and power counting are concerned. The second part summarizes predictions for charmonium and bottomonium production at collider and fixed target experiments and their comparison with data. The emphasis here is on novel signatures due to color octet production, polarization of quarkonia and the $\chi_1/\chi_2$ ratio in fixed target collisions.