one of the Catalog attached: Number 200138 Product Name XL1-Blue MRF’ Kan Library Pack Competent Cells.
Competent cells are sensitive to even small variations in temperature Heat Pulse Duration and Temperature: Optimal transformation efficiency is observed when 100 μl of cells are heat-pulsed at 42°C for 33 seconds. Efficiency decreases sharply when cells are heat-pulsed for 35 seconds. Do not exceed 42°C. then you may follow the guide instructions.
The best condition for transformation is from 37-42oC. Over than 42oC will make the bacterial die. To increase the transformation efficiency, you must improve the competent cells. In this case, I think there could be due to the competent cells or due to the big plasmids.
You shouldn't go over 42 °C for transformation. Certain proteins tend to have very sharp denaturation curves. Even small differences in temperature can have large influences on bacterial viability, and therefore transformation efficiency.