By further examining the symmetry of external momenta and masses in Feynman integrals, we fulfilled the method proposed by Battistel and Dallabona, and showed that recursion relations in this method can be applied to ...By further examining the symmetry of external momenta and masses in Feynman integrals, we fulfilled the method proposed by Battistel and Dallabona, and showed that recursion relations in this method can be applied to simplify Feynman integrals directly.展开更多
The search for an effective reduction method is one of the main topics in higher loop computation.Recently,an alternative reduction method was proposed by Chen in[1,2].In this paper,we test the power of Chen’s new me...The search for an effective reduction method is one of the main topics in higher loop computation.Recently,an alternative reduction method was proposed by Chen in[1,2].In this paper,we test the power of Chen’s new method using one-loop scalar integrals with propagators of higher power.More explicitly,with the improved version of the method,we can cancel the dimension shift and terms with unwanted power shifting.Thus,the obtained integrating-by-parts relations are significantly simpler and can be solved easily.Using this method,we present explicit examples of a bubble,triangle,box,and pentagon with one doubled propagator.With these results,we complete our previous computations in[3]with the missing tadpole coefficients and show the potential of Chen’s method for efficient reduction in higher loop integrals.展开更多
Now,there have been many different methods to calculate one-loop amplitudes.Two of them are the unitarity cut method and the generalized unitarity cut method.In this short paper,we present an explicit connection betwe...Now,there have been many different methods to calculate one-loop amplitudes.Two of them are the unitarity cut method and the generalized unitarity cut method.In this short paper,we present an explicit connection between these two methods,especially how the extractions of triangle and bubble coefficients are equivalent to each other.展开更多
基金Supported by National Natural Science Foundation of China(11075149,10975128)
文摘By further examining the symmetry of external momenta and masses in Feynman integrals, we fulfilled the method proposed by Battistel and Dallabona, and showed that recursion relations in this method can be applied to simplify Feynman integrals directly.
基金Supported by the National Natural Science Foundation of China(11935013)。
文摘The search for an effective reduction method is one of the main topics in higher loop computation.Recently,an alternative reduction method was proposed by Chen in[1,2].In this paper,we test the power of Chen’s new method using one-loop scalar integrals with propagators of higher power.More explicitly,with the improved version of the method,we can cancel the dimension shift and terms with unwanted power shifting.Thus,the obtained integrating-by-parts relations are significantly simpler and can be solved easily.Using this method,we present explicit examples of a bubble,triangle,box,and pentagon with one doubled propagator.With these results,we complete our previous computations in[3]with the missing tadpole coefficients and show the potential of Chen’s method for efficient reduction in higher loop integrals.
基金supported by Chinese NSF funding under contract No.11575156。
文摘Now,there have been many different methods to calculate one-loop amplitudes.Two of them are the unitarity cut method and the generalized unitarity cut method.In this short paper,we present an explicit connection between these two methods,especially how the extractions of triangle and bubble coefficients are equivalent to each other.
