Loop corrections for Kaluza-Klein AdS amplitudes

Recently we conjectured the four-point amplitude of graviton multiplets in ${\rm AdS}_5 \times {\rm S}^5$ at one loop by exploiting the operator product expansion of $\mathcal{N}=4$ super Yang-Mills theory. Here we give the first extension of those results to include Kaluza-Klein modes, obtaining the amplitude for two graviton multiplets and two states of the first KK mode. Our method again relies on resolving the large N degeneracy among a family of long double-trace operators, for which we obtain explicit formulas for the leading anomalous dimensions. Having constructed the one-loop amplitude we are able to obtain a formula for the one-loop corrections to the anomalous dimensions of all twist five double-trace operators.Comment: 37 pages. One ancillary file containing data on the correlator

Multiple linear regression analysis of waist-to-height ratio SDS in 586 Norwegian children born in 1993–1995 according to mother’s preeclampsia status.

<p>Multiple linear regression analysis of waist-to-height ratio SDS in 586 Norwegian children born in 1993–1995 according to mother’s preeclampsia status.</p

Plots of predicted length/height standard deviation score (SDS) (A-D) and weight SDS (E-H) vs. age according to sex and severity of preeclampsia.

<p>Key to figures: Solid line = Unexposed, Dash-dot line = mild/moderate preeclampsia, Dashed line = Severe preeclampsia. Each figure represents the fractional polynomial (FP) with the best fit for each measure (X), i.e. FP (0, 3) = b₁ln(X) + b₂X³; FP (0, 0.5) = b₁ln(X) + b₂√X. The plots are adjusted for sex, age, birth order, maternal age, smoking, BMI, education and an interaction between preeclampsia and age. Details appear in <a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0176627#pone.0176627.t002" target="_blank">Table 2</a>.</p

Multiple fractional polynomial regression of growth from birth to 13 years of age^a) using generalized estimating equations analyses in Norwegian children born in 1993–1995 according to mother’s preeclampsia status and interaction with age and sex.

<p>Multiple fractional polynomial regression of growth from birth to 13 years of age<a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0176627#t002fn002" target="_blank">^a)</a> using generalized estimating equations analyses in Norwegian children born in 1993–1995 according to mother’s preeclampsia status and interaction with age and sex.</p

Continued from Fig 1. Plots of predicted BMI SDS (I-L) vs. age according to sex and severity of preeclampsia.

<p>Key to figures: Solid line = Unexposed, Dash-dot line = mild/moderate preeclampsia, Dashed line = Severe preeclampsia. Each figure represents the fractional polynomial (FP) with the best fit for each measure (X), i.e. FP (-0.5, 0) = -b₁/√X + b₂ln(X).</p

Comparison of invited children to the Stavanger Study (n = 1025) according to assenting status to follow-ups^a).

<p>Comparison of invited children to the Stavanger Study (n = 1025) according to assenting status to follow-ups<a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0176627#t001fn002" target="_blank">^a)</a>.</p

Maternal Preeclampsia and Androgens in the Offspring around Puberty: A Follow-Up Study

<div><p>Background</p><p>Children born after preeclampsia may have a dominant androgen profile in puberty compared with other children. Circulating androgen concentrations at 11–12 years of age were compared between offspring born after preeclampsia, and children whose mothers did not have preeclampsia.</p><p>Methods</p><p>A total of 611 mother-offspring pairs were followed up 11 (daughters) or 12 (sons) years after birth: 218 pairs in the preeclampsia group, and 383 pairs without preeclampsia. Circulating total testosterone, androstenedione, dehydroepiandrosterone sulfate (DHEAS), and insulin-like growth factor I (IGF-I) were measured in the children. In boys, testicular volume was also measured.</p><p>Results</p><p>Among girls born after preeclampsia, DHEAS concentrations were higher than in unexposed girls (p<0.001), however, girls born after preeclampsia with severe features had the lowest DHEAS levels. In contrast, testosterone concentrations were highest in girls born after preeclampsia with severe features, both compared to other girls in the preeclampsia group, and compared to unexposed girls (p<0.001). For boys, testosterone concentrations were higher in the preeclampsia group compared with unexposed boys (p<0.001), and boys born after preeclampsia with severe features had the lowest concentrations of DHEAS. Compared with unexposed boys, testicular volume (p = 0.015) and IGF-I (p = 0.004) were higher for boys in the preeclampsia group, except for boys in the clinically severe preeclampsia group.</p><p>Conclusions</p><p><i>In utero</i> exposure to preeclampsia is associated with androgen hormonal patterns in early puberty that depend on clinical severity of preeclampsia and sex of the offspring. The hormonal differences may reflect different timing of pubertal development, and may have consequences for future health of the offspring.</p></div

Maternal characteristics according to preeclampsia status at delivery.

<p>Maternal characteristics according to preeclampsia status at delivery.</p

Hormonal differences^a from the reference group (no preeclampsia) among offspring at 11–12 years by exposure to preeclampsia <i>in utero</i>^b.

<p>Hormonal differences<a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0167714#t002fn001" target="_blank">^a</a> from the reference group (no preeclampsia) among offspring at 11–12 years by exposure to preeclampsia <i>in utero</i><a href="http://www.plosone.org/article/info:doi/10.1371/journal.pone.0167714#t002fn002" target="_blank">^b</a>.</p

Association between quartiles of choline intake and lung cancer risk.

a<p>Adjusted for sex, race/ethnicity, age (continuous), smoking status, total caloric intake.</p>b<p>Adjusted for sex, race/ethnicity, age, pack-years, total caloric intake, family cancer history, dust exposure, second-hand smoke, emphysema, hay fever, smoking status, asthma, addiction index, alcohol, time since smoking cessation.</p>c<p>Adjusted for sex, race/ethnicity, age (continuous), total caloric intake.</p>d<p>Adjusted for sex, race/ethnicity, age, pack-years, total caloric intake, family cancer history, dust exposure, second-hand smoke, emphysema, hay fever, asthma, addiction index, alcohol, time since smoking cessation.</p>*<p>p-value, chi-square test using quartiles of choline intake as categorical variable.</p>**<p>p-value, test for linear trend using quartiles of choline intake as continuous variable.</p