The Review summarizes much of particle physics and cosmology. Using data from previous editions, plus 3,324 new measurements from 878 papers, we list, evaluate, and average measured properties of gauge bosons and the recently discovered Higgs boson, leptons, quarks, mesons, and baryons. We summarize searches for hypothetical particles such as supersymmetric particles, heavy bosons, axions, dark photons, etc. Particle properties and search limits are listed in Summary Tables. We give numerous tables, figures, formulae, and reviews of topics such as Higgs Boson Physics, Supersymmetry, Grand Unified Theories, Neutrino Mixing, Dark Energy, Dark Matter, Cosmology, Particle Detectors, Colliders, Probability and Statistics. Among the 120 reviews are many that are new or heavily revised, including a new review on High Energy Soft QCD and Diffraction and one on the Determination of CKM Angles from B Hadrons. The Review is divided into two volumes. Volume 1 includes the Summary Tables and 98 review articles. Volume 2 consists of the Particle Listings and contains also 22 reviews that address specific aspects of the data presented in the Listings. The complete Review (both volumes) is published online on the website of the Particle Data Group (pdg.lbl.gov) and in a journal. Volume 1 is available in print as the PDG Book. A Particle Physics Booklet with the Summary Tables and essential tables, figures, and equations from selected review articles is available in print and as a web version optimized for use on phones as well as an Android app.

The Review summarizes much of particle physics and cosmology. Using data from previous editions, plus 2,143 new measurements from 709 papers, we list, evaluate, and average measured properties of gauge bosons and the recently discovered Higgs boson, leptons, quarks, mesons, and baryons. We summarize searches for hypothetical particles such as supersymmetric particles, heavy bosons, axions, dark photons, etc. Particle properties and search limits are listed in Summary Tables. We give numerous tables, figures, formulae, and reviews of topics such as Higgs Boson Physics, Supersymmetry, Grand Unified Theories, Neutrino Mixing, Dark Energy, Dark Matter, Cosmology, Particle Detectors, Colliders, Probability and Statistics. Among the 120 reviews are many that are new or heavily revised, including a new review on Machine Learning, and one on Spectroscopy of Light Meson Resonances. The Review is divided into two volumes. Volume 1 includes the Summary Tables and 97 review articles. Volume 2 consists of the Particle Listings and contains also 23 reviews that address specific aspects of the data presented in the Listings. The complete Review (both volumes) is published online on the website of the Particle Data Group (pdg.lbl.gov) and in a journal. Volume 1 is available in print as the PDG Book. A Particle Physics Booklet with the Summary Tables and essential tables, figures, and equations from selected review articles is available in print, as a web version optimized for use on phones, and as an Android app.

Next-to-leading logarithmic final-state resummed predictions have traditionally been calculated, manually, separately for each observable. In this article we derive NLL resummed results for generic observables. We highlight and discuss the conditions that the observable should satisfy for the approach to be valid, in particular continuous globalness and recursive infrared and collinear safety. The resulting resummation formula is expressed in terms of certain well-defined characteristics of the observable. We have written a computer program, caesar, which, given a subroutine for an arbitrary observable, determines those characteristics, enabling full automation of a large class of final-state resummations, in a range of processes.

We construct a basis set of infra-red and/or collinearly divergent scalar oneloop integrals and give analytic formulas, for tadpole, bubble, triangle and box integrals, regulating the divergences (ultra-violet, infra-red or collinear) by regularization in D = 4 − 2ǫ dimensions. For scalar triangle integrals we give results for our basis set containing 6 divergent integrals. For scalar box integrals we give results for our basis set containing 16 divergent integrals. We provide analytic results for the 5 divergent box integrals in the basis set which are missing in the literature. Building on the work of van Oldenborgh, a general, publicly available code has been constructed, which calculates both finite and divergent one-loop integrals. The code returns the coefficients of 1/ǫ 2 , 1/ǫ 1 and 1/ǫ 0 as complex numbers for an arbitrary tadpole, bubble, triangle or box integral. , s 23 ; 0, 0, 0, 0) 15 4.4.2 Box 2: I D 4 (0, 0, 0, p 2 4 ; s 12 , s 23 ; 0, 0, 0, 0) 16 4.4.3 Box 3: I D 4 (0, p 2 2 , 0, p 2 4 ; s 12 , s 23 ; 0, 0, 0, 0) 16 4.4.4 Box 4: I D 4 (0, 0, p 2 3 , p 2 4 ; s 12 , s 23 ; 0, 0, 0, 0) 17 4.4.5 Box 5: I D 4 (0, p 2 2 , p 2 3 , p 2 4 ; s 12 , s 23 ; 0, 0, 0, 0) 17 4.4.6 Box 6: I D 4 (0, 0, m 2 , m 2 ; s 12 , s 23 ; 0, 0, 0, m 2 ) 17 4.4.7 Box 7: I D 4 (0, 0, m 2 , p 2 4 ; s 12 , s 23 ; 0, 0, 0, m 2 ) 18 4.4.8 Box 8: I D 4 (0, 0, p 2 3 , p 2 4 ; s 12 , s 23 ; 0, 0, 0, m 2 ) 18 4.4.9 Box 9: I D 4 (0, p 2 2 , p 2 3 , m 2 ; s 12 , s 23 ; 0, 0, 0, m 2 ) 18 4.4.10 Box 10: I D 4 (0, p 2 2 , p 2 3 , p 2 4 ; s 12 , s 23 ; 0, 0, 0, m 2 ) 18 4.4.11 Box 11: I D 4 (0, m 2 3 , p 2 3 , m 2 4 ; s 12 , s 23 ; 0, 0, m 2 3 , m 2 4 ) 19-1 -4.4.12 Box 12: I D 4 (0, m 2 3 , p 2 3 , p 2 4 ; s 12 , s 23 ; 0, 0, m 2 3 , m 2 4 ) 19 4.4.13 Box 13: I D 4 (0, p 2 2 , p 2 3 , p 2 4 ; s 12 , s 23 ; 0, 0, m 2 3 , m 2 4 ) 20 4.4.14 Box 14: I D 4 (m 2 2 , m 2 2 , m 2 4 , m 2 4 ; s 12 , s 23 ; 0, m 2 2 , 0, m 2 4 ) 21 4.4.15 Box 15: I D 4 (m 2 2 , p 2 2 , p 2 3 , m 2 4 ; s 12 , s 23 ; 0, m 2 2 , 0, m 2 4 ) 21 4.4.16 Box 16: I D 4 (m 2 2 , p 2 2 , p 2 3 , m 2 4 ; s 12 , s 23 ; 0, m 2 2 , m 2 3 , m 2 4 ) 22 4.5 Special cases for box integrals 22 5. Numerical procedure and checks 23 6. Conclusions and outlook 24 A. Useful auxiliary integrals 25

It has become apparent in recent years that it is important, notably for a range of physics studies at the Large Hadron Collider, to have accurate knowledge on the distribution of photons in the proton. We show how the photon parton distribution function (PDF) can be determined in a model-independent manner, using electron-proton (ep) scattering data, in effect viewing the ep→e+X process as an electron scattering off the photon field of the proton. To this end, we consider an imaginary, beyond the Standard Model process with a flavor changing photon-lepton vertex. We write its cross section in two ways: one in terms of proton structure functions, the other in terms of a photon distribution. Requiring their equivalence yields the photon distribution as an integral over proton structure functions. As a result of the good precision of ep data, we constrain the photon PDF at the level of 1%-2% over a wide range of momentum fractions.