Perturbative expansion of N<8 Supergravity

We characterise the one-loop amplitudes for N=6 and N=4 supergravity in four dimensions. For N=6 we find that the one-loop n-point amplitudes can be expanded in terms of scalar box and triangle functions only. This simplification is consistent with a loop momentum power count of n-3, which we would interpret as being n+4 for gravity with a further -7 from the N=6 superalgebra. For N=4 we find that the amplitude is consistent with a loop momentum power count of n, which we would interpret as being n+4 for gravity with a further -4 from the N=4 superalgebra. Specifically the N=4 amplitudes contain non-cut-constructible rational terms.Comment: 13 pages. v2 adds analytic expression for rational parts of 5-pt 1-loop N=4 SUGRA amplitude; v3 normalisations clarifie

Obtaining One-loop Gravity Amplitudes Using Spurious Singularities

The decomposition of a one-loop scattering amplitude into elementary functions with rational coefficients introduces spurious singularities which afflict individual coefficients but cancel in the complete amplitude. These cancellations create a web of interactions between the various terms. We explore the extent to which entire one-loop amplitudes can be determined from these relationships starting with a relatively small input of initial information, typically the coefficients of the scalar integral functions as these are readily determined. In the context of one-loop gravity amplitudes, of which relatively little is known, we find that some amplitudes with a small number of legs can be completely determined from their box coefficients. For increasing numbers of legs, ambiguities appear which can be determined from the physical singularity structure of the amplitude. We illustrate this with the four-point and N=1,4 five-point (super)gravity one-loop amplitudes.Comment: Minor corrections. Appendix adde

Score Reliability and Factor Similarity of the Sociocultural Attitudes towards Appearance Questionnaire-3 (SATAQ-3) Among Four Ethnic Groups

Background:This study evaluated the score reliability and equivalence of factor structure of the Sociocultural Attitudes towards Appearance Questionnaire-3 (SATAQ-3) [1] in a sample of female college students from the four largest ethnic groups in the USA.Methods:Participants were 1245 women who self-identified as European American/White (n = 543), African American/Black (n = 137), Asian American (n = 317), or Latina/Hispanic (n = 248). All completed the SATAQ-3 and a demographic questionnaire. To test the factor similarity and score reliability across groups, we used exploratory factor analysis and calculated Cronbach’s alphas (respectively).Results:Score reliability was high for all groups. Tests of factor equivalence suggested that the four pre-established factors of the SATAQ-3 (i.e., knowledge, perceived pressure, thin-ideal internalization, athletic-ideal internalization) were similar for women of all ethnic groups. Only two items (20 and 27) did not consistently load on the previously identified scale across all four groups. When scored, African Americans reported significantly less perceived pressure and internalization than all other groups.Conclusions:Results support the use of the SATAQ-3 in female college students of these four ethnicities