An X-ray photon collides with an electron initially at rest and undergoes Compton scattering. The change in the photon's wavelength is given by the relation \(\Delta \lambda = \lambda' - \lambda = \dfrac{h}{m_e c}(1 - \cos\theta)\), where \(\theta\) is the scattering angle of the photon, \(h\) is Planck's constant, \(m_e\) is the mass of the electron, and \(c\) is the speed of light. What is the maximum possible wavelength shift \(\Delta \lambda_{\text{max}}\) that the photon can experience in terms of fundamental constants and \(m_e\)?