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

Relative risk estimates and 95% confidence intervals for the association between menstrual and reproductive factors and B-cell NHL risk overall and by histologic subtype in the California Teachers Study.

<p>FTP: Full-term pregnancy RR = relative risk; CI = confidence interval; CLL = chronic lymphocytic leukemia; SLL = small lymphocytic lymphoma.</p>†<p>Adjusted for age at menarche.</p>‡<p>Number of pregnancies/full-term pregnancies and age at first pregnancy/first full-term pregnancy were mutually adjusted for each other.</p>§<p>Adjusted for ever been pregnant.</p>||<p>Limited to women with at least one full-term pregnancy.</p

Selected baseline characteristics of 121,004 eligible women in the California Teachers Study by number of full-term pregnancies at baseline.

<p>Selected baseline characteristics of 121,004 eligible women in the California Teachers Study by number of full-term pregnancies at baseline.</p

Additional file 1: Table S1. of Recreational physical activity and risk of triple negative breast cancer in the California Teachers Study

Adjusted hazard ratios for the associations between recreational physical activity and luminal B-like and HER2-enriched invasive breast cancer. (DOCX 22 kb

Age-adjusted baseline characteristics among 727 postmenopausal women in the California Teachers Study diagnosed with lung cancer stratified by history of menopausal hormone therapy (MHT) use.

1<p>Race/ethnicity analysis was not adjusted for by age.</p>2<p>Other category for race/ethnicity includes: African American, Hispanic, Native American, Asian/Pacific Islander, Mixed and Unknown.</p>3<p>Mean pack-years calculated only among ever smoking women.</p

Adjusted¹ hazard ratios (HR) and 95% confidence intervals (CI) for the association between menopausal hormone therapy (MHT) use and mortality among 727 postmenopausal women diagnosed with lung cancer following enrollment in the California Teachers Study.

1<p>Cox proportional hazards regression models using age (in days) as the time metric and stratified by age (in years) with the adjustment for race, a variable combining smoking status and pack-years (never smoker, former light smoker, former heavy smoker, current light smoker, current heavy smoker) and stage.</p><p>**All variables measured at baseline.</p

Kaplan-Meier curves of lung cancer-specific survival by ever and never MHT use.

<p>Ever MHT use: n = 297 deaths/511 cases; Never MHT use: 144 deaths/216 cases. MST = median survival time.</p