conference paper
Calculation of Feynman diagrams with low thresholds from their small momentum expansion.
published
yes
Jochem
Fleischer
author 40323
OV
Tarasov
author
10028
department
23470617
department
The calculation of Feynman diagrams in terms of a Taylor expansion w.r.t. small momenta squared is a very promising method and may become particularly important for the higher loop diagrams. If the lowest thresholds are very low, however, then the Taylor series expansion is either difficult to apply or extremely many Taylor coefficients might be needed to achieve convergence. In the case of one variable, q(2), the relevant normalization is r = q(2)/q(th)(2) (q(th)(2) = threshold value of q(2)) and we demonstrate that with 30 Taylor coefficients up to r = 100 a precision of 3 to 4 decimals can be achieved. For the case of a low threshold we compare our results with the zero threshold case obtained by first applying a large mass expansion. bs expected the deviation is small which serves as an excellent test for both the methods.
ELSEVIER SCIENCE BV1996
eng
0550-3213
A1996WB01500039
295-300
<div style="text-indent:-25px; padding-left:25px;padding-bottom:0px;">Fleischer, J. & Tarasov, O.V. (1996). Calculation of Feynman diagrams with low thresholds from their small momentum expansion. (NUCLEAR PHYSICS B), 295-300. ELSEVIER SCIENCE BV.</div>
Fleischer, J., and Tarasov, O. V. (1996). Calculation of Feynman diagrams with low thresholds from their small momentum expansion. <em>NUCLEAR PHYSICS B</em>, 295-300.
<div style="text-indent:-25px; padding-left:25px;padding-bottom:0px;">Fleischer, J., & Tarasov, O. V. (1996). Calculation of Feynman diagrams with low thresholds from their small momentum expansion. <em>NUCLEAR PHYSICS B</em>, 295-300.</div>
Fleischer J, Tarasov OV (1996) <br />Calculation of Feynman diagrams with low thresholds from their small momentum expansion.<br />NUCLEAR PHYSICS B: 295-300.
J. Fleischer and O. V. Tarasov, Calculation of Feynman diagrams with low thresholds from their small momentum expansion., NUCLEAR PHYSICS B 295 (1996).
Fleischer, J., Tarasov, O.V.: Calculation of Feynman diagrams with low thresholds from their small momentum expansion. NUCLEAR PHYSICS B. 295-300 (1996).
<div style="text-indent:-25px; padding-left:25px;padding-bottom:0px;">Fleischer, Jochem, and Tarasov, OV. 1996. “Calculation of Feynman diagrams with low thresholds from their small momentum expansion.”, NUCLEAR PHYSICS B, , 295-300.</div>
Fleischer, J.; Tarasov, O. V. (1996): Calculation of Feynman diagrams with low thresholds from their small momentum expansion. <em>NUCLEAR PHYSICS B</em>, 295-300.
Fleischer, Jochem, and Tarasov, OV. “Calculation of Feynman diagrams with low thresholds from their small momentum expansion.”. <em>NUCLEAR PHYSICS B</em> (1996): 295-300.
J. Fleischer, and O. V. Tarasov, “Calculation of Feynman diagrams with low thresholds from their small momentum expansion.”, <em>NUCLEAR PHYSICS B</em>, <strong>1996</strong>, 295-300.
Fleischer J, Tarasov OV (1996) <br /><em>NUCLEAR PHYSICS B</em>: 295-300.
Fleischer, J., & Tarasov, O. V. (1996). Calculation of Feynman diagrams with low thresholds from their small momentum expansion. <em>NUCLEAR PHYSICS B</em>, 295-300.
Fleischer J, Tarasov OV. Calculation of Feynman diagrams with low thresholds from their small momentum expansion. <em>NUCLEAR PHYSICS B</em>. 1996:295-300.
J. Fleischer and O.V. Tarasov, “Calculation of Feynman diagrams with low thresholds from their small momentum expansion.”, <em>NUCLEAR PHYSICS B</em>, 1996, pp. 295-300.
Fleischer, J., & Tarasov, O.V., 1996. Calculation of Feynman diagrams with low thresholds from their small momentum expansion. <em>NUCLEAR PHYSICS B</em>, , p 295-300.
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