Construction of Infrared Finite Observables in N=4 Super Yang-Mills Theory

In this paper we give all the details of the calculation that we presented in our previous paper ArXiv:0908.0387 where the infrared structure of the MHV gluon amplitudes in the planar limit for ${\cal N}=4$ super Yang-Mills theory was considered in the next-to-leading order of perturbation theory. Explicit cancellation of the infrared divergencies in properly defined inclusive cross-sections is demonstrated first in a toy model example of "conformal QED" and then in the real ${\cal N}=4$ SYM theory. We give the full-length details both for the calculation of the real emission and for the diagrams with splitting in initial and final states. The finite parts for some inclusive differential cross-sections are presented in an analytical form. In general, contrary to the virtual corrections, they do not reveal any simple structure. An example of the finite part containing just the log functions is presented. The dependence of inclusive cross-section on the external scale related to the definition of asymptotic states is discussed.Comment: 49 pages, LATEX, 6 eps figures; Minor changes, Refs adde

Chronic lymphocytic leukaemia: the role of T cells in a B cell disease

Chronic lymphocytic leukaemia (CLL) has long been thought to be an immunosuppressive disease and abnormalities in T‐cell subset distribution and function have been observed in many studies. However, the role of T cells (if any) in disease progression remains unclear and has not been directly studied. This has changed with the advent of new therapies, such as chimeric antigen receptor‐T cells, which actively use retargeted patient‐derived T cells as “living drugs” for CLL. However complete responses are relatively low (~26%) and recent studies have suggested the differentiation status of patient T cells before therapy may influence efficacy. Non‐chemotherapeutic drugs, such as idelalisib and ibrutinib, also have an impact on T cell populations in CLL patients. This review will highlight what is known about T cells in CLL during disease progression and after treatment, and discuss the prospects of using T cells as predictive biomarkers for immune status and response to therapy

On form factors in N=4 sym

In this paper we study the form factors for the half-BPS operators $\mathcal{O}^{(n)}_I$ and the $\mathcal{N}=4$ stress tensor supermultiplet current $W^{AB}$ up to the second order of perturbation theory and for the Konishi operator $\mathcal{K}$ at first order of perturbation theory in $\mathcal{N}=4$ SYM theory at weak coupling. For all the objects we observe the exponentiation of the IR divergences with two anomalous dimensions: the cusp anomalous dimension and the collinear anomalous dimension. For the IR finite parts we obtain a similar situation as for the gluon scattering amplitudes, namely, apart from the case of $W^{AB}$ and $\mathcal{K}$ the finite part has some remainder function which we calculate up to the second order. It involves the generalized Goncharov polylogarithms of several variables. All the answers are expressed through the integrals related to the dual conformal invariant ones which might be a signal of integrable structure standing behind the form factors.Comment: 35 pages, 7 figures, LATEX2

Features of central hemodynamics in women with multiple pregnancy (literature review)

Over the past decades, there has been an increase in the incidence of multiple pregnancies, which is associated with an increase in the age of parturient women, the widespread use of assisted reproductive technologies, the prolonged intake of hormonal oral contraceptives, and stimulants of ovulation. The cardiovascular system in pregnant women with multiple births undergoes major changes, which leads to a significant transformation of hemodynamic parameters. All changes in the work of the CCC of a pregnant woman are due to the formation of an additional utero-placental circle of blood circulation. Changes in the work of the cardiovascular system are associated with both hemodynamic and mechanical factors. Restructuring of the circulatory system during pregnancy consists in an increase in BCC against a background of increased capacity of the vascular bed and cardiac output, when cardiac output increases significantly. These changes provide a higher level of performance for various maternal systems, corresponding to the increasing energy and metabolic needs of the fetus.В течение последних десятилетий наблюдается рост частоты многоплодных беременностей, что связано с увеличением возраста рожениц, широким применением вспомогательных репродуктивных технологий, длительным приемом гормональных оральных контрацептивов, а также стимуляторов овуляции. Сердечно-сосудистая система у беременных с многоплодием претерпевает серьезные изменения, что приводит к значительной трансформации гемодинамических показателей. Все изменения в работе ССС беременной женщины обусловлены формированием дополнительного маточно-плацентарного круга кровообращения. Изменения работы сердечно-сосудистой системы связаны как с гемодинамическими, так и с механическими факторами. Перестройка системы кровообращения при беременности заключается в увеличении ОЦК на фоне повышения емкости сосудистого русла и производительности сердца, когда сердечный выброс увеличивается значительно. Эти изменения обеспечивают более высокий уровень работы различных систем матери, соответствующий возрастающим энергетическим и метаболическим потребностям плода

Minimal distances between SCFTs

My work is supported by DOE grant DE-FG02-96ER40959